text:
Sperm
From Wikipedia, the free encyclopedia
Jump to: navigation, search
For other uses, see Sperm (disambiguation).
Diagram of a human sperm cell
Sperm is the male reproductive cell and is derived from the Greek word (σπέρμα) sperma (meaning "seed"). In the types of sexual reproduction known as anisogamy and its subtype oogamy, there is a marked difference in the size of the gametes with the smaller one being termed the "male" or sperm cell. A uniflagellar sperm cell that is motile is referred to as a spermatozoon, whereas a non-motile sperm cell is referred to as a spermatium. Sperm cells cannot divide and have a limited life span, but after fusion with egg cells during fertilization, a new organism begins developing, starting as a totipotent zygote. The human sperm cell is haploid, so that its 23 chromosomes can join the 23 chromosomes of the female egg to form a diploid cell. In mammals, sperm develops in the testicles, stored in the epididymis, and is released from the penis.
Play media
Video of human sperm cells recorded by an affordable home microscope.
Contents
[hide]
1 Sperm in animals
1.1 Function
1.2 Anatomy
1.3 Origin
1.4 Sperm quality
1.5 Sperm size
1.6 Market for human sperm
1.7 History
1.8 Forensic analysis
2 Sperm in plants
3 Motile sperm cells
4 Non-motile sperm cells
5 Sperm nuclei
6 Sperm centrioles
7 Sperm tail formation
8 See also
9 References
10 External links
Sperm in animals
Further information: Spermatozoon
Function
The main sperm function is to reach the ovum and fuse with it to deliver two sub-cellular structures: (i) the male pronucleus that contains the genetic material and (ii) the centrioles that are structures that help organize the microtubule cytoskeleton.
Anatomy
Sperm and egg fusing
The mammalian sperm cell consists of a head, neck, a midpiece and a tail. The head contains the nucleus with densely coiled chromatin fibres, surrounded anteriorly by an acrosome, which contains enzymes used for penetrating the female egg. The neck contains the sperm centriole. The midpiece has a central filamentous core with many mitochondria spiralled around it, used for ATP production for the journey through the female cervix, uterus and uterine tubes. The tail or "flagellum" executes the lashing movements that propel the spermatocyte.[1]
During fertilization, the sperm provides three essential parts to the oocyte: (1) a signalling or activating factor, which causes the metabolically dormant oocyte to activate; (2) the haploid paternal genome; (3) the centriole, which is responsible for forming the centrosome and microtubule system.[2]
Origin
The spermatozoa of animals are produced through spermatogenesis inside the male gonads (testicles) via meiotic division. The initial spermatozoon process takes around 70 days to complete. The spermatid stage is where the sperm develops the familiar tail. The next stage where it becomes fully mature takes around 60 days when it is called a spermatozoan.[3] Sperm cells are carried out of the male body in a fluid known as semen. Human sperm cells can survive within the female reproductive tract for more than 5 days post coitus.[4] Semen is produced in the seminal vesicles, prostate gland and urethral glands.
In 2016 scientists at Nanjing Medical University claimed they had produced cells resembling mouse spermatids artificially from stem cells. They injected these spermatids into mouse eggs and produced pups.[5]
Sperm quality
Human sperm stained for semen quality testing.
Main article: Semen quality
Sperm quantity and quality are the main parameters in semen quality, which is a measure of the ability of semen to accomplish fertilization. Thus, in humans, it is a measure of fertility in a man. The genetic quality of sperm, as well as its volume and motility, all typically decrease with age.[6] (See paternal age effect.)
DNA damages present in sperm cells in the period after meiosis but before fertilization may be repaired in the fertilized egg, but if not repaired, can have serious deleterious effects on fertility and the developing embryo. Human sperm cells are particularly vulnerable to free radical attack and the generation of oxidative DNA damage.[7] (see e.g. 8-Oxo-2'-deoxyguanosine)
The postmeiotic phase of mouse spermatogenesis is very sensitive to environmental genotoxic agents, because as male germ cells form mature sperm they progressively lose the ability to repair DNA damage.[8] Irradiation of male mice during late spermatogenesis can induce damage that persists for at least 7 days in the fertilizing sperm cells, and disruption of maternal DNA double-strand break repair pathways increases sperm cell-derived chromosomal aberrations.[9] Treatment of male mice with melphalan, a bifunctional alkylating agent frequently employed in chemotherapy, induces DNA lesions during meiosis that may persist in an unrepaired state as germ cells progress though DNA repair-competent phases of spermatogenic development.[10] Such unrepaired DNA damages in sperm cells, after fertilization, can lead to offspring with various abnormalities.
Sperm size
Related to sperm quality is sperm size, at least in some animals. For instance, the sperm of some species of fruit fly (Drosophila) are up to 5.8 cm long — about 20 times as long as the fly itself. Longer sperm cells are better than their shorter counterparts at displacing competitors from the female’s seminal receptacle. The benefit to females is that only healthy males carry ‘good’ genes that can produce long sperm in sufficient quantities to outcompete their competitors.[11][12]
Market for human sperm
Further information: Sperm donation
Some sperm banks hold up to 170 litres (37 imp gal; 45 US gal) of sperm.[13]
In addition to ejaculation, it is possible to extract sperm through TESE.
On the global market, Denmark has a well-developed system of human sperm export. This success mainly comes from the reputation of Danish sperm donors for being of high quality[14] and, in contrast with the law in the other Nordic countries, gives donors the choice of being either anonymous or non-anonymous to the receiving couple.[14] Furthermore, Nordic sperm donors tend to be tall and highly educated[15] and have altruistic motives for their donations,[15] partly due to the relatively low monetary compensation in Nordic countries. More than 50 countries worldwide are importers of Danish sperm, including Paraguay, Canada, Kenya, and Hong Kong.[14] However, the Food and Drug Administration (FDA) of the US has banned import of any sperm, motivated by a risk of transmission of Creutzfeldt–Jakob disease, although such a risk is insignificant, since artificial insemination is very different from the route of transmission of Creutzfeldt–Jakob disease.[16] The prevalence of Creutzfeldt–Jakob disease for donors is at most one in a million, and if the donor was a carrier, the infectious proteins would still have to cross the blood-testis barrier to make transmission possible.[16]
History
See also: Homunculus § Homunculus of spermists
Sperm were first observed in 1677 by Antonie van Leeuwenhoek[17] using a microscope, he described them as being animalcules (little animals), probably due to his belief in preformationism, which thought that each sperm contained a fully formed but small human.[citation needed]
Forensic analysis
Ejaculated fluids are detected by ultraviolet light, irrespective of the structure or colour of the surface.[18] Sperm heads, e.g. from vaginal swabs, are still detected by microscopy using the "Christmas Tree Stain" method, i.e., Kernechtrot-Picroindigocarmine (KPIC) staining.[19][20]
Sperm in plants
Sperm cells in algal and many plant gametophytes are produced in male gametangia (antheridia) via mitotic division. In flowering plants, sperm nuclei are produced inside pollen.[citation needed]
Motile sperm cells
Motile sperm cells of algae and seedless plants.[21]
Motile sperm cells typically move via flagella and require a water medium in order to swim toward the egg for fertilization. In animals most of the energy for sperm motility is derived from the metabolism of fructose carried in the seminal fluid. This takes place in the mitochondria located in the sperm's midpiece (at the base of the sperm head). These cells cannot swim backwards due to the nature of their propulsion. The uniflagellated sperm cells (with one flagellum) of animals are referred to as spermatozoa, and are known to vary in size.[citation needed]
Motile sperm are also produced by many protists and the gametophytes of bryophytes, ferns and some gymnosperms such as cycads and ginkgo. The sperm cells are the only flagellated cells in the life cycle of these plants. In many ferns and lycophytes, they are multi-flagellated (carrying more than one flagellum).[21]
In nematodes, the sperm cells are amoeboid and crawl, rather than swim, towards the egg cell.[22]
Non-motile sperm cells
Non-motile sperm cells called spermatia lack flagella and therefore cannot swim. Spermatia are produced in a spermatangium.[21]
Because spermatia cannot swim, they depend on their environment to carry them to the egg cell. Some red algae, such as Polysiphonia, produce non-motile spermatia that are spread by water currents after their release.[21] The spermatia of rust fungi are covered with a sticky substance. They are produced in flask-shaped structures containing nectar, which attract flies that transfer the spermatia to nearby hyphae for fertilization in a mechanism similar to insect pollination in flowering plants.[23]
Fungal spermatia (also called pycniospores, especially in the Uredinales) may be confused with conidia. Conidia are spores that germinate independently of fertilization, whereas spermatia are gametes that are required for fertilization. In some fungi, such as Neurospora crassa, spermatia are identical to microconidia as they can perform both functions of fertilization as well as giving rise to new organisms without fertilization.[24]
Sperm nuclei
In almost all embryophytes, including most gymnosperms and all angiosperms, the male gametophytes (pollen grains) are the primary mode of dispersal, for example via wind or insect pollination, eliminating the need for water to bridge the gap between male and female. Each pollen grain contains a spermatogenous (generative) cell. Once the pollen lands on the stigma of a receptive flower, it germinates and starts growing a pollen tube through the carpel. Before the tube reaches the ovule, the nucleus of the generative cell in the pollen grain divides and gives rise to two sperm nuclei, which are then discharged through the tube into the ovule for fertilization.[21]
In some protists, fertilization also involves sperm nuclei, rather than cells, migrating toward the egg cell through a fertilization tube. Oomycetes form sperm nuclei in a syncytical antheridium surrounding the egg cells. The sperm nuclei reach the eggs through fertilization tubes, similar to the pollen tube mechanism in plants.[21]
Sperm centrioles
Most sperm cells have centrioles in the sperm neck.[25] Sperm of many animals has 2 centrioles known as the proximal centriole and distal centriole. Some animals like human have a single centriole known as the proximal centriole. Mice and rat have no sperm centrioles. The fruit fly Drosophila melanogaster has a single centriole and an atypical centriole named the Proximal Centriole-Like (PCL).[26]
Sperm tail formation
The sperm tail is a specialized type of cilium (aka flagella). In many animals the sperm tail is formed in a unique way, which is named Cytosolic ciliogenesis, since all or part of axoneme of the sperm tail is formed in the cytoplasm or get exposed to the cytoplasm.[27]
See also
Mendelian inheritance
Ejaculation
Female sperm
Female sperm storage
Polyspermy
Sperm competition
Sperm donation
Sperm granuloma
Spermatogenesis
Spermatozoon
References
Jump up ^ Ishijima, Sumio; Oshio, Shigeru; Mohri, Hideo (1986). "Flagellar movement of human spermatozoa". Gamete Research. 13 (3): 185–197. doi:10.1002/mrd.1120130302.
Jump up ^ Hewitson, Laura & Schatten, Gerald P. (2003). "The biology of fertilization in humans". In Patrizio, Pasquale et al. A color atlas for human assisted reproduction: laboratory and clinical insights. Lippincott Williams & Wilkins. p. 3. ISBN 978-0-7817-3769-2. Retrieved 2013-11-09. CS1 maint: Uses editors parameter (link)
Jump up ^ Semen and sperm quality
Jump up ^ Gould JE, Overstreet JW and Hanson FW (1984) "Assessment of human sperm function after recovery from the female reproductive tract". Biology of Reproduction 31, 888–894.
Jump up ^ Cyranoski, David (25 February 2016). "Researchers claim to have made artificial mouse sperm in a dish". Nature. doi:10.1038/nature.2016.19453. Retrieved 4 March 2016.
Jump up ^ Gurevich, Rachel (2008-06-10). "Does Age Affect Male Fertility?". About.com. Retrieved 14 February 2010.
Jump up ^ Gavriliouk D, Aitken RJ (2015). "Damage to Sperm DNA Mediated by Reactive Oxygen Species: Its Impact on Human Reproduction and the Health Trajectory of Offspring". Advances in Experimental Medicine and Biology. 868: 23–47. doi:10.1007/978-3-319-18881-2_2. PMID 26178844.
Jump up ^ Marchetti F, Wyrobek AJ (2008). "DNA repair decline during mouse spermiogenesis results in the accumulation of heritable DNA damage". DNA Repair. 7 (4): 572–81. doi:10.1016/j.dnarep.2007.12.011. PMID 18282746.
Jump up ^ Marchetti F, Essers J, Kanaar R, Wyrobek AJ (2007). "Disruption of maternal DNA repair increases sperm-derived chromosomal aberrations". Proceedings of the National Academy of Sciences of the United States of America. 104 (45): 17725–9. doi:10.1073/pnas.0705257104. PMC 2077046  . PMID 17978187.
Jump up ^ Marchetti F, Bishop J, Gingerich J, Wyrobek AJ (2015). "Meiotic interstrand DNA damage escapes paternal repair and causes chromosomal aberrations in the zygote by maternal misrepair". Scientific Reports. 5: 7689. doi:10.1038/srep07689. PMC 4286742  . PMID 25567288.
Jump up ^ Lüpold, Stefan; Manier, Mollie K.; Puniamoorthy, Nalini; Schoff, Christopher; Starmer, William T.; Luepold, Shannon H. Buckley; Belote, John M.; Pitnick, Scott (2016-05-26). "How sexual selection can drive the evolution of costly sperm ornamentation". Nature. 533 (7604): 535–538. doi:10.1038/nature18005. ISSN 1476-4687. PMID 27225128.
Jump up ^ Gardiner, Jennifer R. (2016-05-26). "Evolution: The bigger, the better". Nature. 533 (7604): 476. doi:10.1038/533476a. ISSN 1476-4687. PMID 27225117.
Jump up ^ Sarfraz Manzoor (2 November 2012). "Come inside: the world's biggest sperm bank". The Guardian. Retrieved 4 August 2013.
^ Jump up to: a b c Assisted Reproduction in the Nordic Countries ncbio.org
^ Jump up to: a b FDA Rules Block Import of Prized Danish Sperm Posted Aug 13, 08 7:37 AM CDT in World, Science & Health
^ Jump up to: a b Steven Kotler (26 September 2007). "The God of Sperm".
Jump up ^ "Timeline: Assisted reproduction and birth control". CBC News. Retrieved 2006-04-06.
Jump up ^ Anja Fiedler; Mark Benecke; et al. "Detection of Semen (Human and Boar) and Saliva on Fabrics by a Very High Powered UV-/VIS-Light Source". Retrieved 2015-10-22.
Jump up ^ Allery, J. P.; Telmon, N.; Mieusset, R.; Blanc, A.; Rougé, D. (2001). "Cytological detection of spermatozoa: Comparison of three staining methods". Journal of forensic sciences. 46 (2): 349–351. PMID 11305439.
Jump up ^ Illinois State Police/President's DNA Initiative. "The Presidents's DNA Initiative: Semen Stain Identification: Kernechtrot" (PDF). Retrieved 2009-12-10.
^ Jump up to: a b c d e f Raven, Peter H.; Ray F. Evert; Susan E. Eichhorn (2005). Biology of Plants, 7th Edition. New York: W.H. Freeman and Company Publishers. ISBN 0-7167-1007-2.
Jump up ^ Bottino D, Mogilner A, Roberts T, Stewart M, Oster G (2002). "How nematode sperm crawl". Journal of Cell Science. 115 (Pt 2): 367–84. PMID 11839788. CS1 maint: Multiple names: authors list (link)
Jump up ^ Sumbali, Geeta (2005). The Fungi. Alpha Science Int'l Ltd. ISBN 1-84265-153-6.
Jump up ^ Maheshwari R (1999). "Microconidia of Neurospora crassa". Fungal Genetics and Biology. 26 (1): 1–18. doi:10.1006/fgbi.1998.1103. PMID 10072316.
Jump up ^ Atypical centrioles during sexual reproduction. Avidor-Reiss T, Khire A, Fishman EL, Jo KH. Front Cell Dev Biol. 2015 Apr 1;3:21. doi: 10.3389/fcell.2015.00021.
Jump up ^ A proximal centriole-like structure is present in Drosophila spermatids and can serve as a model to study centriole duplication. Blachon S, Cai X, Roberts KA, Yang K, Polyanovsky A, Church A, Avidor-Reiss T. Genetics. 2009 May;182(1):133-44. doi: 10.1534/genetics.109.101709.
Jump up ^ Shared and Distinct Mechanisms of Compartmentalized and Cytosolic Ciliogenesis. Avidor-Reiss T, Leroux MR. Curr Biol. 2015 Dec 7;25(23):R1143-50. doi: 10.1016/j.cub.2015.11.001. http://0-resolver.ebscohost.com.carlson.utoledo.edu/openurl?sid=Entrez%3aPubMed&id=pmid%3a26654377&site=ftf-live
External links
The Great Sperm Race pdf
Human Sperm Under a Microscope
Wikimedia Commons has media related to Sperm.
Preceded by
None Stages of human development
Sperm + Oocyte Succeeded by
Zygote
Retrieved from "https://en.wikipedia.org/w/index.php?title=Sperm&oldid=815259917"
Categories:
Fertility
Germ cells
Reproductive system
Mammal male reproductive system
Semen
Human male reproductive system
Hidden categories:
CS1 maint: Uses editors parameter
CS1 maint: Multiple names: authors list
Wikipedia indefinitely semi-protected pages
All articles with unsourced statements
Articles with unsourced statements from January 2011
Articles containing video clips
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Create account
Log in
Namespaces
Article
Talk
Variants
Views
Read
View source
View history
More
Search
Navigation
Main page
Contents
Featured content
Current events
Random article
Donate to Wikipedia
Wikipedia store
Interaction
Help
About Wikipedia
Community portal
Recent changes
Contact page
Tools
What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Wikidata item
Cite this page
Print/export
Create a book
Download as PDF
Printable version
In other projects
Wikimedia Commons
Languages
العربية
বাংলা
Cymraeg
Esperanto
فارسی
Gaeilge
ગુજરાતી
हिन्दी
Ido
Kiswahili
Македонски
मराठी
مازِرونی
Bahasa Melayu
پنجابی
پښتو
Soomaaliga
کوردی
தமிழ்
ไทย
Türkçe
Edit links
This page was last edited on 13 December 2017, at 19:37.
Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
Privacy policy
About Wikipedia
Disclaimers
Contact Wikipedia
Developers
Cookie statement
Mobile view
Enable previews

key: html

type: local

value: div

attrs: id class

values: mw-page-base noprint

values: mw-head-base noprint

value: a

value: img

attrs: alt src width height srcset data-file-width data-file-height

attrs: href title

attrs: id class lang

values: firstHeading firstHeading en

values: siteSub noprint

values: jump-to-nav mw-jump

attrs: href class title

values:
/wiki/Sperm_(disambiguation)
mw-disambig
Sperm (disambiguation)

values:
note
hatnote navigation-not-searchable

attrs: alt src width height class srcset data-file-width data-file-height

attrs: href class

attrs: class style

values: <video id="mwe_player_1" poster="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/HumanSpermVideoAffordableHomeMicroscope.ogv/640px--HumanSpermVideoAffordableHomeMicroscope.ogv.jpg" controls="" preload="none" autoplay="" style="width:640px;height:480px" class="kskin" data-durationhint="25.518297584206" data-startoffset="0" data-mwtitle="HumanSpermVideoAffordableHomeMicroscope.ogv" data-mwprovider="wikimediacommons"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/9/95/HumanSpermVideoAffordableHomeMicroscope.ogv/HumanSpermVideoAffordableHomeMicroscope.ogv.480p.webm" type="video/webm; codecs="vp8, vorbis"" data-title="SD WebM (480P)" data-shorttitle="WebM 480P" data-transcodekey="480p.webm" data-width="640" data-height="480" data-bandwidth="1002432" data-framerate="30.056864"/><source src="//upload.wikimedia.org/wikipedia/commons/9/95/HumanSpermVideoAffordableHomeMicroscope.ogv" type="video/ogg; codecs="theora"" data-title="Original Ogg file, 640 × 480 (1.47 Mbps)" data-shorttitle="Ogg source" data-width="640" data-height="480" data-bandwidth="1473452" data-framerate="30.056864"/><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/9/95/HumanSpermVideoAffordableHomeMicroscope.ogv/HumanSpermVideoAffordableHomeMicroscope.ogv.160p.webm" type="video/webm; codecs="vp8, vorbis"" data-title="Low bandwidth WebM (160P)" data-shorttitle="WebM 160P" data-transcodekey="160p.webm" data-width="214" data-height="160" data-bandwidth="126272" data-framerate="30.056864"/><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/9/95/HumanSpermVideoAffordableHomeMicroscope.ogv/HumanSpermVideoAffordableHomeMicroscope.ogv.240p.webm" type="video/webm; codecs="vp8, vorbis"" data-title="Small WebM (240P)" data-shorttitle="WebM 240P" data-transcodekey="240p.webm" data-width="320" data-height="240" data-bandwidth="250752" data-framerate="30.056864"/><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/9/95/HumanSpermVideoAffordableHomeMicroscope.ogv/HumanSpermVideoAffordableHomeMicroscope.ogv.360p.webm" type="video/webm; codecs="vp8, vorbis"" data-title="WebM (360P)" data-shorttitle="WebM 360P" data-transcodekey="360p.webm" data-width="480" data-height="360" data-bandwidth="499896" data-framerate="30.056864"/></video>

values:
/wiki/Uterine_tubes
mw-redirect
Uterine tubes

values:
/wiki/Seminal_vesicles
mw-redirect
Seminal vesicles

values:
/wiki/Prostate_gland
mw-redirect
Prostate gland

values:
/wiki/Sperm_quality
mw-redirect
Sperm quality

values:
/wiki/Blood-testis_barrier
mw-redirect
Blood-testis barrier

values: This claim needs references to reliable sources. (January 2011)

values:
noprint Inline-Template Template-Fact
white-space:nowrap;

values:
/wiki/Insect_pollination
mw-redirect
Insect pollination

values:
/wiki/Stigma_(flower)
mw-redirect
Stigma (flower)

values:
nofollow
external text
//doi.org/10.1002%2Fmrd.1120130302

values: Category:CS1 maint: Uses editors parameter

values:
nofollow
external text
//doi.org/10.1038%2Fnature.2016.19453

values:
/wiki/PubMed_Identifier
mw-redirect
PubMed Identifier

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/26178844

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/18282746

values:
nofollow
external text
//doi.org/10.1073%2Fpnas.0705257104

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/17978187

values:
nofollow
external text
//doi.org/10.1038%2Fsrep07689

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/25567288

values:
nofollow
external text
//doi.org/10.1038%2Fnature18005

values:
nofollow
external text
//www.worldcat.org/issn/1476-4687

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/27225128

values:
nofollow
external text
//doi.org/10.1038%2F533476a

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/27225117

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/11305439

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/11839788

values: Category:CS1 maint: Multiple names: authors list

values:
nofollow
external text
//doi.org/10.1006%2Ffgbi.1998.1103

values:
nofollow
external text
//www.ncbi.nlm.nih.gov/pubmed/10072316

values: -moz-column-width: 30em; -webkit-column-width: 30em; column-width: 30em; list-style-type: decimal;

values:
/wiki/Stages_of_human_development
mw-redirect
Stages of human development

values: Category:Mammal male reproductive system

values: Category:Wikipedia indefinitely semi-protected pages

values: Category:All articles with unsourced statements

values: Category:Articles with unsourced statements from January 2011

values: Category:Articles containing video clips

values: Discussion about edits from this IP address [ctrl-alt-n]

values: A list of edits made from this IP address [ctrl-alt-y]

values: You are encouraged to create an account and log in; however, it is not mandatory

values: You're encouraged to log in; however, it's not mandatory. [ctrl-alt-o]

values:
/wiki/Sperm
View the content page [ctrl-alt-c]
c

values: Discussion about the content page [ctrl-alt-t]

values: p-namespaces navigation vectorTabs p-namespaces-label

values:
p-variants
navigation
vectorMenu emptyPortlet
p-variants-label

values:
This page is protected.
You can view its source [ctrl-alt-e]

values: Past revisions of this page [ctrl-alt-h]

values: p-views navigation vectorTabs p-views-label

values:
p-cactions
navigation
vectorMenu emptyPortlet
p-cactions-label

values:
mw-wiki-logo
/wiki/Main_Page
Visit the main page

values:
/wiki/Main_Page
Visit the main page [ctrl-alt-z]
z

values: Featured content – the best of Wikipedia

values: Find background information on current events

values:
/wiki/Special:Random
Load a random article [ctrl-alt-x]
x

values: portal navigation p-navigation p-navigation-label

values: Guidance on how to use and edit Wikipedia

values: About the project, what you can do, where to find things

values: A list of recent changes in the wiki [ctrl-alt-r]

values: portal navigation p-interaction p-interaction-label

values: List of all English Wikipedia pages containing links to this page [ctrl-alt-j]

values: Recent changes in pages linked from this page [ctrl-alt-k]

values:
/wiki/Wikipedia:File_Upload_Wizard
Upload files [ctrl-alt-u]
u

values: A list of all special pages [ctrl-alt-q]

values: Permanent link to this revision of the page

values: Link to connected data repository item [ctrl-alt-g]

values: Printable version of this page [ctrl-alt-p]

values: portal navigation p-wikibase-otherprojects p-wikibase-otherprojects-label

values:
uls-settings-trigger
Language settings
0
button
true

values: حيوان منوي – Arabic

values: শুক্রাণু – Bangla

values:
https://cy.wikipedia.org/wiki/Sberm
Sberm – Welsh
cy
cy
interlanguage-link-target

values:
https://eo.wikipedia.org/wiki/Spermo
Spermo – Esperanto
eo
eo
interlanguage-link-target

values:
https://ga.wikipedia.org/wiki/Speirm
Speirm – Irish
ga
ga
interlanguage-link-target

values: शुक्राणु – Hindi

values:
https://io.wikipedia.org/wiki/Spermo
Spermo – Ido
io
io
interlanguage-link-target

values:
https://sw.wikipedia.org/wiki/Shahawa
Shahawa – Swahili
sw
sw
interlanguage-link-target

values: शुक्रजंतू – Marathi

values:
https://ms.wikipedia.org/wiki/Sperma
Sperma – Malay
ms
ms
interlanguage-link-target

values:
https://so.wikipedia.org/wiki/Manida
Manida – Somali
so
so
interlanguage-link-target

values: விந்து – Tamil

values: ตัวอสุจิ – Thai

values:
https://tr.wikipedia.org/wiki/Sperm
Sperm – Turkish
tr
tr
interlanguage-link-target

values: mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Sperm rootpage-Sperm skin-vector action-view


text:
The Clapping Song
From Wikipedia, the free encyclopedia
Jump to: navigation, search
[hide]This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages)
This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (May 2011) (Learn how and when to remove this template message)
This article contains embedded lists that may be poorly defined, unverified or indiscriminate. Please help to clean it up to meet Wikipedia's quality standards. Where appropriate, incorporate items into the main body of the article. (May 2011)
(Learn how and when to remove this template message)
"The Clapping Song" is an American song, written by Lincoln Chase, originally arranged by Charles Callello and recorded by Shirley Ellis in 1965. The song was released shortly after Ellis had released "The Name Game". The lyrics of "The Clapping Song" were borrowed from the song "Little Rubber Dolly",[1] a 1930s song recorded by the Light Crust Doughboys, and also feature instructions for a clapping game. The song sold over a million copies, and peaked at number eight in the United States and number six in the UK.
The song returned to the charts in 1982, when the Belle Stars' version charted at number 11 in the UK. This version did not chart in the US, although a version by Pia Zadora charted there at number 36 in 1983.
Notable cover versions[edit]
The song has been covered many times:
Gary Glitter covered this song on three albums: Glitter in 1972, Glam Years 1991, and Gary Glitter in 1995
Female Mexican pop singer Yuri recorded a Spanish version of the song in 1980 titled "Bailad (The Clapping Song)"
Ian Cussick, Scottish singer-songwriter, released the song as a single in 1981, from his third studio album Hypertension
The Belle Stars covered the song in 1982
Pia Zadora's cover of the song entered the top 40 in 1983
Aaron Carter released a cover of the song on his 2000 album Aaron's Party (Come Get It). A music video was produced for the song.
Lil' Kim performed the song (as Shirley Ellis) on the NBC drama American Dreams October 12, 2003 and danced to the song on the ABC show Dancing With The Stars April 20 and 21, 2009
Mother and The Addicts released a cover of this song as the B-side to 2004 single "Who Art You Girls?"
The Young Punx covered the song for the Buffet Libre 'Rewind 2' project in late 2008, featuring Laura Kidd on vocals and Guthrie Govan on guitar
UK X Factor contestant, Cher Lloyd, performed the song on the final of the show in December 2010
Russell Grant released it in 2012 in the UK as a Christmas single along with six backing singers/dancers, including S Club 7's Tina Barrett, Chloe Rich, Miriam Breckner and Rhiannon Drake[2]
The Hip-hop gospel Congolese group Makoma has covered the song
Izza Kizza samples the chorus in his song "Walk The Dawg"
R&B Singer Cupid did a cover of the song with B.o.B on the Step Up 2 OST which samples Ellis' version
Operator Please covered the song for the Australian Independent teen film Hey, Hey, It's Esther Blueburger
Baccara recorded a cover with a "Macarena" beat.
Andrew W.K. included a re-mixed version in the album Damn! The Mixtape.
On Season 1 of The X Factor US, the group InTENsity performed the song during the first live show
The Hype Girlz released The Clapping Song on June 15th, 2015
Icona Pop released a cover on July 17th, 2015 titled "Clap Snap" on the "Emergency EP"
UK X Factor group, 4th Impact, performed the song as a mashup with Sound of the Underground during the second week of live shows.
Legacy and in the media[edit]
Tom Waits's song "Clap Hands" from his album Rain Dogs quotes the line "they all went to heaven in a little row boat." In the version of the song on the live album Big Time, Waits prefaces "Clap Hands" with the entire first verse of "The Clapping Song".
Radiohead's "Pyramid Song" quotes the line "And we all went to heaven in a little row boat".
Buck 65's "1957" quotes the line "we all go to Heaven in a little row boat."
In "Loco Mosquito" (Soldier, 1980), Iggy Pop quotes some lines from "The Clapping Song".
UB40's rendition of Red Red Wine includes the lines "The line broke, the monkey get choked".
Spank Rock's mix tape Couche-Tard samples "The Clapping Song" on track "Five".
Parkway Drive quotes the line "and we all go to heaven in a little row boat" in a satirical manner in their 2015 song "Writings on the Wall".
James May attempted to parallel park a Lamborghini Countach to the song on an episode of Top Gear.
Manu Chao used the "My mama told me" part in the 2003 Jai Alai Katumbi Express with Fermin Muguruza on "Hamburger Fields / Hitz Egin" song. [3]
The song was used in an advertising campaign for Matalan in the UK.
The song was featured in the hip hop documentary Scratch as part of a story where DJ Jazzy Jay recalls Afrika Bambaata passing him a 45 single with a drum break he later discovered was from "The Clapping Song".
The song was also featured in the TV series Skins in 2007. It was used in the bonus episode of Season 1, during the organisation of the "Secret Party".
The song is featured in a 2011 advertisement on YouTube for the 2012 Volkswagen Beetle.
The chorus of Cat Power’s 2012 song “3, 6, 9” borrows heavily from “The Clapping Song”
The line "3, 6, 9" is referenced in the verses to "Get Low" by Lil Jon and the East Side Boyz featuring the Ying Yang Twins.
In 2016 the song was used in a commercial of the car Ford Focus.
In Stephen King's Insomnia (1994) an evil character chants the song several times throughout the novel.
References[edit]
Jump up ^ "Shirley Ellis's The Clapping Song". WhoSampled.com. Retrieved 23 May 2012. ("Little Rubber Dolly" available at YouTube)
Jump up ^ Llewellyn, Angharad (2012-11-21). "Russell Grant is a happy Clapper – The Sun". Thesun.co.uk. Retrieved 2016-09-28.
Jump up ^ "LARZAC 2003 Manu Chao Part 3". YouTube. 2013-09-02. Retrieved 2016-09-28.
Retrieved from "https://en.wikipedia.org/w/index.php?title=The_Clapping_Song&oldid=791747415"
Categories:
1965 songs
Songs written by Lincoln Chase
Aaron Carter songs
1965 singles
Hidden categories:
Articles needing additional references from May 2011
All articles needing additional references
Articles needing cleanup from May 2011
All pages needing cleanup
Wikipedia list cleanup from May 2011
Articles with multiple maintenance issues
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Create account
Log in
Namespaces
Article
Talk
Variants
Views
Read
Edit
View history
More
Search
Navigation
Main page
Contents
Featured content
Current events
Random article
Donate to Wikipedia
Wikipedia store
Interaction
Help
About Wikipedia
Community portal
Recent changes
Contact page
Tools
What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Wikidata item
Cite this page
Print/export
Create a book
Download as PDF
Printable version
Languages
Add links
This page was last edited on 22 July 2017, at 06:58.
Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
Privacy policy
About Wikipedia
Disclaimers
Contact Wikipedia
Developers
Cookie statement
Mobile view
Enable previews

values: mw-page-base noprint

values: mw-head-base noprint

values: firstHeading firstHeading en

values: siteSub noprint

values: jump-to-nav mw-jump

value: td

value: span

attrs: class role tabindex

values: mw-collapsible-toggle button 0

value: b

attrs: class href

value: i

value: small

values: Help:Introduction to referencing with Wiki Markup/1

values: plainlinks metadata ambox ambox-content ambox-Refimprove

values: Wikipedia:Manual of Style/Embedded lists

values:
plainlinks metadata ambox ambox-style
presentation

values:
mw-collapsible
width:95%; margin: 0.2em 0;

values: plainlinks metadata ambox ambox-content ambox-multiple_issues compact-ambox

values:
/wiki/Belle_Stars
mw-redirect
Belle Stars

values:
/wiki/Dancing_With_The_Stars
mw-redirect
Dancing With The Stars

values:
/wiki/Mother_and_The_Addicts
mw-redirect
Mother and The Addicts

values:
/wiki/The_X_Factor_(US)
mw-redirect
The X Factor (US)

values:
/wiki/1957_(song)
mw-redirect
1957 (song)

values: Couche-Tard (album) (page does not exist)

values:
/wiki/Top_Gear_(current_format)
mw-redirect
Top Gear (current format)

values:
/wiki/DJ_Jazzy_Jay
mw-redirect
DJ Jazzy Jay

values:
/wiki/Afrika_Bambaata
mw-redirect
Afrika Bambaata

values:
/wiki/Skins_(TV_series)
mw-redirect
Skins (TV series)

values: Get Low (Lil Jon & the East Side Boyz song)

values:
reflist mw-references-wrap
list-style-type: decimal;

values: Category:Articles needing additional references from May 2011

values: Category:All articles needing additional references

values: Category:Articles needing cleanup from May 2011

values: Category:Wikipedia list cleanup from May 2011

values: Category:Articles with multiple maintenance issues

values: Discussion about edits from this IP address [ctrl-alt-n]

values: A list of edits made from this IP address [ctrl-alt-y]

values: You are encouraged to create an account and log in; however, it is not mandatory

values: You're encouraged to log in; however, it's not mandatory. [ctrl-alt-o]

values:
/wiki/The_Clapping_Song
View the content page [ctrl-alt-c]
c

values: Discussion about the content page [ctrl-alt-t]

values: p-namespaces navigation vectorTabs p-namespaces-label

values:
p-variants
navigation
vectorMenu emptyPortlet
p-variants-label

values: Past revisions of this page [ctrl-alt-h]

values: p-views navigation vectorTabs p-views-label

values:
p-cactions
navigation
vectorMenu emptyPortlet
p-cactions-label

values:
mw-wiki-logo
/wiki/Main_Page
Visit the main page

values:
/wiki/Main_Page
Visit the main page [ctrl-alt-z]
z

values: Featured content – the best of Wikipedia

values: Find background information on current events

values:
/wiki/Special:Random
Load a random article [ctrl-alt-x]
x

values: portal navigation p-navigation p-navigation-label

values: Guidance on how to use and edit Wikipedia

values: About the project, what you can do, where to find things

values: A list of recent changes in the wiki [ctrl-alt-r]

values: portal navigation p-interaction p-interaction-label

values: List of all English Wikipedia pages containing links to this page [ctrl-alt-j]

values: Recent changes in pages linked from this page [ctrl-alt-k]

values: /static/images/wikimedia-button-1.5x.png 1.5x, /static/images/wikimedia-button-2x.png 2x

values: /static/images/poweredby_mediawiki_132x47.png 1.5x, /static/images/poweredby_mediawiki_176x62.png 2x

values:
suggestions
display: none; font-size: 13px;

values: mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-The_Clapping_Song rootpage-The_Clapping_Song skin-vector action-view


text:
Equilateral triangle
From Wikipedia, the free encyclopedia
Jump to: navigation, search
"Equilateral" redirects here. For other uses, see Equilateral (disambiguation).
Equilateral triangle
Type
Regular polygon
Edges and vertices
3
Schläfli symbol
{3}
Coxeter diagram
Symmetry group
D3
Area
3 4 a 2 {\displaystyle {\tfrac {\sqrt {3}}{4}}a^{2}}
Internal angle (degrees)
60°
In geometry, an equilateral triangle is a triangle in which all three sides are equal. In the familiar Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. They are regular polygons, and can therefore also be referred to as regular triangles.
Contents
[hide]
1 Principal properties
2 Characterizations
2.1 Sides
2.2 Semiperimeter
2.3 Angles
2.4 Area
2.5 Circumradius, inradius and exradii
2.6 Equal cevians
2.7 Coincident triangle centers
2.8 Six triangles formed by partitioning by the medians
2.9 Points in the plane
3 Notable theorems
4 Other properties
5 Geometric construction
6 Derivation of area formula
6.1 Using the Pythagorean theorem
6.2 Using trigonometry
7 In culture and society
8 See also
9 References
10 External links
Principal properties[edit]
An equilateral triangle. It has equal sides (a=b=c), equal angles ( α = β = γ {\displaystyle \alpha =\beta =\gamma } ), and equal altitudes (ha=hb=hc).
Denoting the common length of the sides of the equilateral triangle as a, we can determine using the Pythagorean theorem that:
The area is A = 3 4 a 2 {\displaystyle A={\frac {\sqrt {3}}{4}}a^{2}}
The perimeter is p = 3 a {\displaystyle p=3a\,\!}
The radius of the circumscribed circle is R = a 3 {\displaystyle R={\frac {a}{\sqrt {3}}}}
The radius of the inscribed circle is r = 3 6 a {\displaystyle r={\frac {\sqrt {3}}{6}}a} or r = R 2 {\displaystyle r={\frac {R}{2}}}
The geometric center of the triangle is the center of the circumscribed and inscribed circles
And the altitude (height) from any side is h = 3 2 a {\displaystyle h={\frac {\sqrt {3}}{2}}a} .
Denoting the radius of the circumscribed circle as R, we can determine using trigonometry that:
The area of the triangle is A = 3 3 4 R 2 {\displaystyle \mathrm {A} ={\frac {3{\sqrt {3}}}{4}}R^{2}}
Many of these quantities have simple relationships to the altitude ("h") of each vertex from the opposite side:
The area is A = h 2 3 {\displaystyle A={\frac {h^{2}}{\sqrt {3}}}}
The height of the center from each side, or apothem, is h 3 {\displaystyle {\frac {h}{3}}}
The radius of the circle circumscribing the three vertices is R = 2 h 3 {\displaystyle R={\frac {2h}{3}}}
The radius of the inscribed circle is r = h 3 {\displaystyle r={\frac {h}{3}}}
In an equilateral triangle, the altitudes, the angle bisectors, the perpendicular bisectors and the medians to each side coincide.
Characterizations[edit]
A triangle ABC that has the sides a, b, c, semiperimeter s, area T, exradii ra, rb, rc (tangent to a, b, c respectively), and where R and r are the radii of the circumcircle and incircle respectively, is equilateral if and only if any one of the statements in the following nine categories is true. Thus these are properties that are unique to equilateral triangles, and knowing that any one of them is true directly implies that we have an equilateral triangle.
Sides[edit]
a = b = c {\displaystyle \displaystyle a=b=c}
1 a + 1 b + 1 c = 25 R r − 2 r 2 4 R r {\displaystyle \displaystyle {\frac {1}{a}}+{\frac {1}{b}}+{\frac {1}{c}}={\frac {\sqrt {25Rr-2r^{2}}}{4Rr}}} [1]
Semiperimeter[edit]
s = 2 R + ( 3 3 − 4 ) r (Blundon) {\displaystyle \displaystyle s=2R+(3{\sqrt {3}}-4)r\quad {\text{(Blundon)}}} [2]
s 2 = 3 r 2 + 12 R r {\displaystyle \displaystyle s^{2}=3r^{2}+12Rr} [3]
s 2 = 3 3 T {\displaystyle \displaystyle s^{2}=3{\sqrt {3}}T} [4]
s = 3 3 r {\displaystyle \displaystyle s=3{\sqrt {3}}r}
s = 3 3 2 R {\displaystyle \displaystyle s={\frac {3{\sqrt {3}}}{2}}R}
Angles[edit]
A = B = C = 60 ∘ {\displaystyle \displaystyle A=B=C=60^{\circ }}
cos  A + cos  B + cos  C = 3 2 {\displaystyle \displaystyle \cos {A}+\cos {B}+\cos {C}={\frac {3}{2}}}
sin  A 2 sin  B 2 sin  C 2 = 1 8 {\displaystyle \displaystyle \sin {\frac {A}{2}}\sin {\frac {B}{2}}\sin {\frac {C}{2}}={\frac {1}{8}}} [5]
Area[edit]
T = a 2 + b 2 + c 2 4 3 {\displaystyle \displaystyle T={\frac {a^{2}+b^{2}+c^{2}}{4{\sqrt {3}}}}\quad } (Weitzenböck) [6]
T = 3 4 ( a b c ) 2 3 {\displaystyle \displaystyle T={\frac {\sqrt {3}}{4}}(abc)^{^{\frac {2}{3}}}} [4]
Circumradius, inradius and exradii[edit]
R = 2 r (Chapple-Euler) {\displaystyle \displaystyle R=2r\quad {\text{(Chapple-Euler)}}} [7]
9 R 2 = a 2 + b 2 + c 2 {\displaystyle \displaystyle 9R^{2}=a^{2}+b^{2}+c^{2}} [7]
r = r a + r b + r c 9 {\displaystyle \displaystyle r={\frac {r_{a}+r_{b}+r_{c}}{9}}} [5]
r a = r b = r c {\displaystyle \displaystyle r_{a}=r_{b}=r_{c}}
Equal cevians[edit]
Three kinds of cevians are equal for (and only for) equilateral triangles:[8]
The three altitudes have equal lengths.
The three medians have equal lengths.
The three angle bisectors have equal lengths.
Coincident triangle centers[edit]
Every triangle center of an equilateral triangle coincides with its centroid, which implies that the equilateral triangle is the only triangle with no Euler line connecting some of the centers. For some pairs of triangle centers, the fact that they coincide is enough to ensure that the triangle is equilateral. In particular:
A triangle is equilateral if any two of the circumcenter, incenter, centroid, or orthocenter coincide.[9]:p.37
It is also equilateral if its circumcenter coincides with the Nagel point, or if its incenter coincides with its nine-point center.[7]
Six triangles formed by partitioning by the medians[edit]
For any triangle, the three medians partition the triangle into six smaller triangles.
A triangle is equilateral if and only if any three of the smaller triangles have either the same perimeter or the same inradius.[10]:Theorem 1
A triangle is equilateral if and only if the circumcenters of any three of the smaller triangles have the same distance from the centroid.[10]:Corollary 7
Points in the plane[edit]
A triangle is equilateral if and only if, for every point P in the plane, with distances p, q, and r to the triangle's sides and distances x, y, and z to its vertices,[11]:p.178,#235.4
4 ( p 2 + q 2 + r 2 ) ≥ x 2 + y 2 + z 2 . {\displaystyle 4(p^{2}+q^{2}+r^{2})\geq x^{2}+y^{2}+z^{2}.}
Notable theorems[edit]
Morley's trisector theorem states that, in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle.
Napoleon's theorem states that, if equilateral triangles are constructed on the sides of any triangle, either all outward, or all inward, the centers of those equilateral triangles themselves form an equilateral triangle.
A version of the isoperimetric inequality for triangles states that the triangle of greatest area among all those with a given perimeter is equilateral.[12]
Viviani's theorem states that, for any interior point P in an equilateral triangle with distances d, e, and f from the sides and altitude h,
d + e + f = h , {\displaystyle d+e+f=h,}
independent of the location of P.[13]
Pompeiu's theorem states that, if P is an arbitrary point in an equilateral triangle ABC, then there exists a triangle with sides of lengths PA, PB, and PC. That is, PA, PB, and PC satisfy the triangle inequality that any two of them sum to at least as great as the third.
Other properties[edit]
By Euler's inequality, the equilateral triangle has the smallest ratio R/r of the circumradius to the inradius of any triangle: specifically, R/r = 2.[14]:p.198
The triangle of largest area of all those inscribed in a given circle is equilateral; and the triangle of smallest area of all those circumscribed around a given circle is equilateral.[15]
The ratio of the area of the incircle to the area of an equilateral triangle, π 3 3 {\displaystyle {\frac {\pi }{3{\sqrt {3}}}}} , is larger than that of any non-equilateral triangle.[16]:Theorem 4.1
The ratio of the area to the square of the perimeter of an equilateral triangle, 1 12 3 , {\displaystyle {\frac {1}{12{\sqrt {3}}}},} is larger than that for any other triangle.[12]
If a segment splits an equilateral triangle into two regions with equal perimeters and with areas A1 and A2 , then[11]:p.151,#J26
7 9 ≤ A 1 A 2 ≤ 9 7 . {\displaystyle {\frac {7}{9}}\leq {\frac {A_{1}}{A_{2}}}\leq {\frac {9}{7}}.}
If a triangle is placed in the complex plane with complex vertices z1, z2, and z3, then for either non-real cube root ω {\displaystyle \omega } of 1 the triangle is equilateral if and only if[17]:Lemma 2
z 1 + ω z 2 + ω 2 z 3 = 0. {\displaystyle z_{1}+\omega z_{2}+\omega ^{2}z_{3}=0.}
Given a point P in the interior of an equilateral triangle, the ratio of the sum of its distances from the vertices to the sum of its distances from the sides is greater than or equal to 2, equality holding when P is the centroid. In no other triangle is there a point for which this ratio is as small as 2.[18] This is the Erdős–Mordell inequality; a stronger variant of it is Barrow's inequality, which replaces the perpendicular distances to the sides with the distances from P to the points where the angle bisectors of ∠APB, ∠BPC, and ∠CPA cross the sides (A, B, and C being the vertices).
For any point P in the plane, with distances p, q, and t from the vertices A, B, and C respectively,[19]
3 ( p 4 + q 4 + t 4 + a 4 ) = ( p 2 + q 2 + t 2 + a 2 ) 2 . {\displaystyle \displaystyle 3(p^{4}+q^{4}+t^{4}+a^{4})=(p^{2}+q^{2}+t^{2}+a^{2})^{2}.}
For any point P on the inscribed circle of an equilateral triangle, with distances p, q, and t from the vertices,[19]
4 ( p 2 + q 2 + t 2 ) = 5 a 2 {\displaystyle \displaystyle 4(p^{2}+q^{2}+t^{2})=5a^{2}}
and
16 ( p 4 + q 4 + t 4 ) = 11 a 4 . {\displaystyle \displaystyle 16(p^{4}+q^{4}+t^{4})=11a^{4}.}
For any point P on the minor arc BC of the circumcircle, with distances p, q, and t from A, B, and C respectively,[13]:170[19]
p = q + t {\displaystyle \displaystyle p=q+t}
and
q 2 + q t + t 2 = a 2 ; {\displaystyle \displaystyle q^{2}+qt+t^{2}=a^{2};}
moreover, if point D on side BC divides PA into segments PD and DA with DA having length z and PD having length y, then[13]:172
z = t 2 + t q + q 2 t + q , {\displaystyle z={\frac {t^{2}+tq+q^{2}}{t+q}},}
which also equals t 3 − q 3 t 2 − q 2 {\displaystyle {\tfrac {t^{3}-q^{3}}{t^{2}-q^{2}}}} if t ≠ q; and
1 q + 1 t = 1 y , {\displaystyle {\frac {1}{q}}+{\frac {1}{t}}={\frac {1}{y}},}
which is the optic equation.
There are numerous triangle inequalities that hold with equality if and only if the triangle is equilateral.
An equilateral triangle is the most symmetrical triangle, having 3 lines of reflection and rotational symmetry of order 3 about its center. Its symmetry group is the dihedral group of order 6 D3.
Equilateral triangles are the only triangles whose Steiner inellipse is a circle (specifically, it is the incircle).
The integer-sided equilateral triangle is the only triangle with integer sides and three rational angles as measured in degrees.[20]
A regular tetrahedron is made of four equilateral triangles.
Equilateral triangles are found in many other geometric constructs. The intersection of circles whose centers are a radius width apart is a pair of equilateral arches, each of which can be inscribed with an equilateral triangle. They form faces of regular and uniform polyhedra. Three of the five Platonic solids are composed of equilateral triangles. In particular, the regular tetrahedron has four equilateral triangles for faces and can be considered the three-dimensional analogue of the shape. The plane can be tiled using equilateral triangles giving the triangular tiling.
Geometric construction[edit]
Construction of equilateral triangle with compass and straightedge
An equilateral triangle is easily constructed using a compass and straightedge, as 3 is a Fermat prime. Draw a straight line, and place the point of the compass on one end of the line, and swing an arc from that point to the other point of the line segment. Repeat with the other side of the line. Finally, connect the point where the two arcs intersect with each end of the line segment
An alternative method is to draw a circle with radius r, place the point of the compass on the circle and draw another circle with the same radius. The two circles will intersect in two points. An equilateral triangle can be constructed by taking the two centers of the circles and either of the points of intersection.
In both methods a by-product is the formation of vesica piscis.
The proof that the resulting figure is an equilateral triangle is the first proposition in Book I of Euclid's Elements.
Derivation of area formula[edit]
The area formula A = 3 4 a 2 {\displaystyle A={\frac {\sqrt {3}}{4}}a^{2}} in terms of side length a can be derived directly using the Pythagorean theorem or using trigonometry.
Using the Pythagorean theorem[edit]
The area of a triangle is half of one side a times the height h from that side:
A = 1 2 a h . {\displaystyle A={\frac {1}{2}}ah.}
An equilateral triangle with a side of 2 has a height of √3 as the sine of 60° is √3/2.
The legs of either right triangle formed by an altitude of the equilateral triangle are half of the base a, and the hypotenuse is the side a of the equilateral triangle. The height of an equilateral triangle can be found using the Pythagorean theorem
( a 2 ) 2 + h 2 = a 2 {\displaystyle \left({\frac {a}{2}}\right)^{2}+h^{2}=a^{2}}
so that
h = 3 2 a . {\displaystyle h={\frac {\sqrt {3}}{2}}a.}
Substituting h into the area formula (1/2)ah gives the area formula for the equilateral triangle:
A = 3 4 a 2 . {\displaystyle A={\frac {\sqrt {3}}{4}}a^{2}.}
Using trigonometry[edit]
Using trigonometry, the area of a triangle with any two sides a and b, and an angle C between them is
A = 1 2 a b sin  C . {\displaystyle A={\frac {1}{2}}ab\sin C.}
Each angle of an equilateral triangle is 60°, so
A = 1 2 a b sin  60 ∘ . {\displaystyle A={\frac {1}{2}}ab\sin 60^{\circ }.}
The sine of 60° is 3 2 {\displaystyle {\tfrac {\sqrt {3}}{2}}} . Thus
A = 1 2 a b × 3 2 = 3 4 a b = 3 4 a 2 {\displaystyle A={\frac {1}{2}}ab\times {\frac {\sqrt {3}}{2}}={\frac {\sqrt {3}}{4}}ab={\frac {\sqrt {3}}{4}}a^{2}}
since all sides of an equilateral triangle are equal.
In culture and society[edit]
Equilateral triangles have frequently appeared in man made constructions:
Some archaeological sites have equilateral triangles as part of their construction, for example Lepenski Vir in Serbia.
The shape also occurs in modern architecture such as Randhurst Mall and the Jefferson National Expansion Memorial.
The Flag of Nicaragua, the Flag of the Philippines, the Seal of the President of the Philippines, and the Flag of Junqueirópolis contain equilateral triangles.
It is a shape of a variety of road signs, including the Yield sign.
The fraternity Tau Kappa Epsilon uses the equilateral triangle as its primary symbol.
See also[edit]
Almost-equilateral Heronian triangle
Isosceles triangle
Right triangle
Trigonometry
Ternary plot
References[edit]
Jump up ^ Bencze, Mihály; Wu, Hui-Hua; Wu, Shan-He (2008). "An equivalent form of fundamental triangle inequality and its applications" (PDF). Research Group in Mathematical Inequalities and Applications. 11 (1).
Jump up ^ Dospinescu, G.; Lascu, M.; Pohoata, C.; Letiva, M. (2008). "An elementary proof of Blundon's inequality" (PDF). Journal of inequalities in pure and applied mathematics. 9 (4).
Jump up ^ Blundon, W. J. (1963). "On Certain Polynomials Associated with the Triangle". Mathematics Magazine. 36 (4): 247–248. doi:10.2307/2687913.
^ Jump up to: a b Alsina, Claudi; Nelsen, Roger B. (2009). When less is more. Visualizing basic inequalities. Mathematical Association of America. pp. 71, 155.
^ Jump up to: a b Pohoata, Cosmin (2010). "A new proof of Euler's inradius - circumradius inequality" (PDF). Gazeta Matematica Seria B (3): 121–123.
Jump up ^ McLeman, Cam; Ismail, Andrei. "Weizenbock's inequality". PlanetMath. Archived from the original on 2012-02-18.
^ Jump up to: a b c Andreescu, Titu; Andrica, Dorian (2006). Complex Numbers from A to...Z. Birkhäuser. pp. 70, 113–115.
Jump up ^ Owen, Byer; Felix, Lazebnik; Deirdre, Smeltzer (2010). Methods for Euclidean Geometry. Mathematical Association of America. pp. 36, 39.
Jump up ^ Yiu, Paul (1998). "Notes on Euclidean Geometry" (PDF). [permanent dead link]
^ Jump up to: a b Cerin, Zvonko (2004). "The vertex-midpoint-centroid triangles" (PDF). Forum Geometricorum. 4: 97–109.
^ Jump up to: a b "Inequalities proposed in "Crux Mathematicorum"" (PDF).
^ Jump up to: a b Chakerian, G. D. "A Distorted View of Geometry." Ch. 7 in Mathematical Plums (R. Honsberger, editor). Washington, DC: Mathematical Association of America, 1979: 147.
^ Jump up to: a b c Posamentier, Alfred S.; Salkind, Charles T. (1996). Challenging Problems in Geometry. Dover Publ.
Jump up ^ Svrtan, Dragutin; Veljan, Darko (2012). "Non-Euclidean versions of some classical triangle inequalities" (PDF). Forum Geometricorum. 12: 197–209.
Jump up ^ Dörrie, Heinrich (1965). 100 Great Problems of Elementary Mathematics. Dover Publ. pp. 379–380.
Jump up ^ Minda, D.; Phelps, S. (2008). "Triangles, ellipses, and cubic polynomials". American Mathematical Monthly. 115 (October): 679–689. JSTOR 27642581.
Jump up ^ Dao, Thanh Oai (2015). "Equilateral triangles and Kiepert perspectors in complex numbers" (PDF). Forum Geometricorum. 15: 105–114.
Jump up ^ Lee, Hojoo (2001). "Another proof of the Erdős–Mordell Theorem" (PDF). Forum Geometricorum. 1: 7–8.
^ Jump up to: a b c De, Prithwijit (2008). "Curious properties of the circumcircle and incircle of an equilateral triangle". Mathematical Spectrum. 41 (1): 32–35.
Jump up ^ Conway, J. H., and Guy, R. K., "The only rational triangle", in The Book of Numbers, 1996, Springer-Verlag, pp. 201 and 228–239.
External links[edit]
Weisstein, Eric W. "Equilateral Triangle". MathWorld.
[show]
v
t
e
Polygons
Regular
List
1–10 sides
Monogon
Digon
Triangle
Equilateral
Isosceles
Quadrilateral
Square
Rectangle
Rhombus
Parallelogram
Trapezoid
Kite
Pentagon
Hexagon
Heptagon
Octagon
Nonagon (Enneagon)
Decagon
11–20 sides
Hendecagon
Dodecagon
Tridecagon
Tetradecagon
Pentadecagon
Hexadecagon
Heptadecagon
Octadecagon
Enneadecagon
Icosagon
21–100 sides
(selected)
Icosidigon (22)
Icositetragon (24)
Icosihexagon (26)
Icosioctagon (28)
Triacontagon (30)
Triacontadigon (32)
Triacontatetragon (34)
Tetracontagon (40)
Tetracontadigon (42)
Tetracontaoctagon (48)
Pentacontagon (50)
Hexacontagon (60)
Hexacontatetragon (64)
Heptacontagon (70)
Octacontagon (80)
Enneacontagon (90)
Enneacontahexagon (96)
Hectogon (100)
>100 sides
120-gon
257-gon
360-gon
Chiliagon (1,000)
Myriagon (10,000)
65537-gon
Megagon (1,000,000)
Apeirogon (∞)
Star polygons
(5–12 sides)
Pentagram
Hexagram
Heptagram
Octagram
Enneagram
Decagram
Hendecagram
Dodecagram
[hide]
v
t
e
Fundamental convex regular and uniform polytopes in dimensions 2–10
Family
An Bn I2(p) / Dn E6 / E7 / E8 / F4 / G2 Hn
Regular polygon
Triangle Square p-gon Hexagon Pentagon
Uniform polyhedron
Tetrahedron Octahedron • Cube Demicube Dodecahedron • Icosahedron
Uniform 4-polytope
5-cell 16-cell • Tesseract Demitesseract 24-cell 120-cell • 600-cell
Uniform 5-polytope
5-simplex 5-orthoplex • 5-cube 5-demicube
Uniform 6-polytope
6-simplex 6-orthoplex • 6-cube 6-demicube 122 • 221
Uniform 7-polytope
7-simplex 7-orthoplex • 7-cube 7-demicube 132 • 231 • 321
Uniform 8-polytope
8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421
Uniform 9-polytope
9-simplex 9-orthoplex • 9-cube 9-demicube
Uniform 10-polytope
10-simplex 10-orthoplex • 10-cube 10-demicube
Uniform n-polytope
n-simplex n-orthoplex • n-cube n-demicube 1k2 • 2k1 • k21 n-pentagonal polytope
Topics: Polytope families • Regular polytope • List of regular polytopes and compounds
Retrieved from "https://en.wikipedia.org/w/index.php?title=Equilateral_triangle&oldid=837588497"
Categories:
Triangles
Triangle geometry
Elementary shapes
Constructible polygons
Hidden categories:
All articles with dead external links
Articles with dead external links from September 2017
Articles with permanently dead external links
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Create account
Log in
Namespaces
Article
Talk
Variants
Views
Read
Edit
View history
More
Search
Navigation
Main page
Contents
Featured content
Current events
Random article
Donate to Wikipedia
Wikipedia store
Interaction
Help
About Wikipedia
Community portal
Recent changes
Contact page
Tools
What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Wikidata item
Cite this page
Print/export
Create a book
Download as PDF
Printable version
In other projects
Wikimedia Commons
Languages
العربية
Azərbaycanca
Български
Boarisch
Bosanski
Català
Чӑвашла
Čeština
ChiShona
Corsu
Dansk
Davvisámegiella
Deutsch
Eesti
Ελληνικά
Español
Esperanto
Euskara
فارسی
Français
한국어
हिन्दी
Hornjoserbsce
Hrvatski
Bahasa Indonesia
Íslenska
Italiano
עברית
ქართული
Қазақша
Latviešu
Lëtzebuergesch
Lingála
Македонски
മലയാളം
मराठी
Bahasa Melayu
Nederlands
नेपाली
日本語
Norsk
Norsk nynorsk
ភាសាខ្មែរ
Polski
Português
Română
Русский
Scots
Simple English
Slovenčina
Slovenščina
Ślůnski
کوردی
Српски / srpski
Srpskohrvatski / српскохрватски
Suomi
Svenska
தமிழ்
తెలుగు
ไทย
Türkçe
Українська
Tiếng Việt
West-Vlams
吴语
粵語
中文
58 more
Edit links
This page was last edited on 21 April 2018, at 19:45.
Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
Privacy policy
About Wikipedia
Disclaimers
Contact Wikipedia
Developers
Cookie statement
Mobile view
Enable previews

values: mw-page-base noprint

values: mw-head-base noprint

values: firstHeading firstHeading en

values: siteSub noprint

values: jump-to-nav mw-jump

values:
/wiki/Equilateral_(disambiguation)
mw-disambig
Equilateral (disambiguation)

attrs: role class

values:
note
hatnote navigation-not-searchable

value: th

attrs: colspan style

value: tr

values:
/wiki/Coxeter_diagram
mw-redirect
Coxeter diagram

attrs: alt src width height data-file-width data-file-height

values:
/wiki/Dihedral_symmetry
mw-redirect
Dihedral symmetry

values: {\displaystyle {\tfrac {\sqrt {3}}{4}}a^{2}}

values: vertical-align: -1.171ex; width:5.311ex; height:4.176ex;

values:
/wiki/Internal_angle
mw-redirect
Internal angle

values: vertical-align: -0.838ex; width:10.279ex; height:2.676ex;

values: {\displaystyle A={\frac {\sqrt {3}}{4}}a^{2}}

values: vertical-align: -1.838ex; width:11.06ex; height:5.843ex;

values: vertical-align: -0.671ex; margin-left: -0.089ex; margin-right: -0.387ex; width:7.137ex; height:2.509ex;

values: {\displaystyle R={\frac {a}{\sqrt {3}}}}

values: vertical-align: -2.838ex; width:8.797ex; height:5.676ex;

values:
/wiki/Inscribed_circle
mw-redirect
Inscribed circle

values: {\displaystyle r={\frac {\sqrt {3}}{6}}a}

values: vertical-align: -1.838ex; width:9.311ex; height:5.843ex;

values: vertical-align: -1.838ex; width:6.747ex; height:5.176ex;

values: {\displaystyle h={\frac {\sqrt {3}}{2}}a}

values: vertical-align: -1.838ex; width:9.602ex; height:5.843ex;

values: vertical-align: -1.838ex; width:12.757ex; height:5.843ex;

values: {\displaystyle A={\frac {h^{2}}{\sqrt {3}}}}

values: vertical-align: -2.838ex; width:8.776ex; height:6.676ex;

values: vertical-align: -1.838ex; width:2.175ex; height:5.343ex;

values: vertical-align: -1.838ex; width:8.2ex; height:5.343ex;

values: vertical-align: -1.838ex; width:6.322ex; height:5.343ex;

values: vertical-align: -0.338ex; width:9.431ex; height:2.176ex;

values: vertical-align: -2.005ex; width:29.246ex; height:6.343ex;

values: vertical-align: -0.838ex; width:33.834ex; height:3.009ex;

values: vertical-align: -0.505ex; width:16.486ex; height:2.843ex;

values: {\displaystyle \displaystyle s^{2}=3{\sqrt {3}}T}

values: vertical-align: -0.671ex; width:11.14ex; height:3.009ex;

values: {\displaystyle \displaystyle s=3{\sqrt {3}}r}

values: vertical-align: -0.671ex; width:9.498ex; height:2.843ex;

values: vertical-align: -1.838ex; width:11.05ex; height:5.843ex;

values: {\displaystyle \displaystyle A=B=C=60^{\circ }}

values: vertical-align: -0.338ex; width:17.948ex; height:2.343ex;

values: vertical-align: -1.838ex; width:26.546ex; height:5.176ex;

values: vertical-align: -1.838ex; width:23.381ex; height:5.343ex;

values: vertical-align: -2.838ex; width:19.971ex; height:6.676ex;

values: vertical-align: -1.838ex; width:15.613ex; height:6.009ex;

values: Edit section: Circumradius, inradius and exradii

values: vertical-align: -0.838ex; width:25.844ex; height:2.843ex;

values: vertical-align: -0.505ex; width:19.157ex; height:2.843ex;

values: vertical-align: -1.838ex; width:16.794ex; height:5.009ex;

values: vertical-align: -0.671ex; width:12.327ex; height:2.009ex;

values: Edit section: Coincident triangle centers

values: Edit section: Six triangles formed by partitioning by the medians

values: vertical-align: -0.838ex; width:31.282ex; height:3.176ex;

values: vertical-align: -0.671ex; width:14.343ex; height:2.509ex;

values: {\displaystyle {\frac {\pi }{3{\sqrt {3}}}}}

values: vertical-align: -2.838ex; width:5.097ex; height:5.676ex;

values: {\displaystyle {\frac {1}{12{\sqrt {3}}}},}

values: vertical-align: -2.838ex; width:6.906ex; height:6.176ex;

values: vertical-align: -2.338ex; width:14.474ex; height:5.843ex;

values: vertical-align: -0.338ex; width:1.446ex; height:1.676ex;

values: vertical-align: -0.671ex; width:20.941ex; height:3.009ex;

values:
/wiki/Angle_bisector
mw-redirect
Angle bisector

values: vertical-align: -0.838ex; width:43.693ex; height:3.176ex;

values: vertical-align: -0.838ex; width:21.449ex; height:3.176ex;

values: vertical-align: -0.838ex; width:24.42ex; height:3.176ex;

values: vertical-align: -0.671ex; margin-left: -0.089ex; width:9.107ex; height:2.343ex;

values: vertical-align: -0.671ex; width:17.647ex; height:3.009ex;

values: vertical-align: -2.338ex; width:17.287ex; height:6.176ex;

values: vertical-align: -1.838ex; width:5.135ex; height:5.009ex;

values: vertical-align: -2.338ex; width:12.581ex; height:5.676ex;

values:
/wiki/Triangle_inequalities
mw-redirect
Triangle inequalities

values:
/wiki/Tiling_by_regular_polygons
mw-redirect
Tiling by regular polygons

values:
/wiki/Compass_and_straightedge
mw-redirect
Compass and straightedge

values:
/wiki/Fermat_prime
mw-redirect
Fermat prime

values: Equilateral Triangle Inscribed in a Circle.gif

values: Edit section: Derivation of area formula

values: Edit section: Using the Pythagorean theorem

values: vertical-align: -1.838ex; width:10.056ex; height:5.176ex;

values: vertical-align: -1.838ex; width:16.512ex; height:5.176ex;

values: {\displaystyle h={\frac {\sqrt {3}}{2}}a.}

values: vertical-align: -1.838ex; width:10.249ex; height:5.843ex;

values: {\displaystyle A={\frac {\sqrt {3}}{4}}a^{2}.}

values: vertical-align: -1.838ex; width:11.707ex; height:5.843ex;

values: {\displaystyle A={\frac {1}{2}}ab\sin C.}

values: vertical-align: -1.838ex; width:15.111ex; height:5.176ex;

values: {\displaystyle A={\frac {1}{2}}ab\sin 60^{\circ }.}

values: vertical-align: -1.838ex; width:16.723ex; height:5.176ex;

values: vertical-align: -1.171ex; width:3.027ex; height:4.176ex;

values: vertical-align: -1.838ex; width:34.42ex; height:5.843ex;

values:
/wiki/Randhurst_Mall
mw-redirect
Randhurst Mall

values: Seal of the President of the Philippines

values:
nofollow
external text
//doi.org/10.2307%2F2687913

values:
nofollow
external text
//www.jstor.org/stable/27642581

values: nowraplinks collapsible autocollapse navbox-inner

values:
plainlinks hlist navbar mini
float:left; text-align:left

values:
/wiki/H4_(mathematics)
mw-redirect
H4 (mathematics)

values: Category:All articles with dead external links

values: Category:Articles with dead external links from September 2017

values: Category:Articles with permanently dead external links

values: Discussion about edits from this IP address [ctrl-alt-n]

values: A list of edits made from this IP address [ctrl-alt-y]

values: You are encouraged to create an account and log in; however, it is not mandatory

values: You're encouraged to log in; however, it's not mandatory. [ctrl-alt-o]

values:
/wiki/Equilateral_triangle
View the content page [ctrl-alt-c]
c

values: Discussion about the content page [ctrl-alt-t]

values: p-namespaces navigation vectorTabs p-namespaces-label

values:
p-variants
navigation
vectorMenu emptyPortlet
p-variants-label

values: Past revisions of this page [ctrl-alt-h]

values: p-views navigation vectorTabs p-views-label

values:
p-cactions
navigation
vectorMenu emptyPortlet
p-cactions-label

values:
/wiki/Wikipedia:File_Upload_Wizard
Upload files [ctrl-alt-u]
u

values: A list of all special pages [ctrl-alt-q]

values: Permanent link to this revision of the page

values: Link to connected data repository item [ctrl-alt-g]

values: Printable version of this page [ctrl-alt-p]

values: portal navigation p-wikibase-otherprojects p-wikibase-otherprojects-label

values: مثلث متساوي الأضلاع – Arabic

values:
interlanguage-link interwiki-az
display: none;

values: Равностранен триъгълник – Bulgarian

values:
interlanguage-link interwiki-bg
display: none;

values:
interlanguage-link interwiki-bar
display: none;

values:
interlanguage-link interwiki-bs
display: none;

values:
interlanguage-link interwiki-ca
display: none;

values: Тĕрĕс виçкĕтеслĕх – Chuvash

values:
interlanguage-link interwiki-cv
display: none;

values:
interlanguage-link interwiki-cs
display: none;

values:
interlanguage-link interwiki-sn
display: none;

values:
interlanguage-link interwiki-co
display: none;

values:
interlanguage-link interwiki-da
display: none;

values: Dássesiiddot golmmačiegat – Northern Sami

values:
interlanguage-link interwiki-se
display: none;

values:
interlanguage-link interwiki-de
display: none;

values:
interlanguage-link interwiki-et
display: none;

values: Ισόπλευρο τρίγωνο – Greek

values:
interlanguage-link interwiki-el
display: none;

values:
interlanguage-link interwiki-eo
display: none;

values:
interlanguage-link interwiki-eu
display: none;

values: مثلث متساوی‌الاضلاع – Persian

values:
interlanguage-link interwiki-fa
display: none;

values:
interlanguage-link interwiki-ko
display: none;

values: समबाहु त्रिभुज – Hindi

values:
interlanguage-link interwiki-hsb
display: none;

values:
interlanguage-link interwiki-hr
display: none;

values:
interlanguage-link interwiki-is
display: none;

values:
interlanguage-link interwiki-it
display: none;

values: משולש שווה-צלעות – Hebrew

values:
interlanguage-link interwiki-he
display: none;

values: ტოლგვერდა სამკუთხედი – Georgian

values:
interlanguage-link interwiki-ka
display: none;

values: Дұрыс үшбұрыш – Kazakh

values:
interlanguage-link interwiki-kk
display: none;

values:
interlanguage-link interwiki-lv
display: none;

values:
interlanguage-link interwiki-lb
display: none;

values:
interlanguage-link interwiki-ln
display: none;

values: Рамностран триаголник – Macedonian

values:
interlanguage-link interwiki-mk
display: none;

values: സമഭുജത്രികോണം – Malayalam

values:
interlanguage-link interwiki-ml
display: none;

values: समभुज त्रिकोण – Marathi

values:
interlanguage-link interwiki-mr
display: none;

values:
interlanguage-link interwiki-nl
display: none;

values: समबाहु त्रिभुज – Nepali

values:
interlanguage-link interwiki-ne
display: none;

values:
interlanguage-link interwiki-ja
display: none;

values:
interlanguage-link interwiki-no
display: none;

values:
interlanguage-link interwiki-nn
display: none;

values: ត្រីកោណសម័ង្ស – Khmer

values:
interlanguage-link interwiki-km
display: none;

values:
interlanguage-link interwiki-pl
display: none;

values:
interlanguage-link interwiki-ro
display: none;

values: Правильный треугольник – Russian

values:
interlanguage-link interwiki-sco
display: none;

values:
interlanguage-link interwiki-simple
display: none;

values:
interlanguage-link interwiki-sk
display: none;

values:
interlanguage-link interwiki-sl
display: none;

values:
interlanguage-link interwiki-szl
display: none;

values:
interlanguage-link interwiki-ckb
display: none;

values: Једнакостранични троугао – Serbian

values:
interlanguage-link interwiki-sr
display: none;

values: Jednakostranični trougao – Serbo-Croatian

values:
interlanguage-link interwiki-sh
display: none;

values:
interlanguage-link interwiki-fi
display: none;

values:
interlanguage-link interwiki-sv
display: none;

values: சமபக்க முக்கோணி – Tamil

values:
interlanguage-link interwiki-ta
display: none;

values: సమబాహు త్రిభుజం – Telugu

values:
interlanguage-link interwiki-te
display: none;

values: รูปสามเหลี่ยมด้านเท่า – Thai

values:
interlanguage-link interwiki-th
display: none;

values:
interlanguage-link interwiki-tr
display: none;

values: Правильний трикутник – Ukrainian

values:
interlanguage-link interwiki-uk
display: none;

values:
interlanguage-link interwiki-vi
display: none;

values:
interlanguage-link interwiki-vls
display: none;

values:
interlanguage-link interwiki-wuu
display: none;

values:
interlanguage-link interwiki-zh-yue
display: none;

values: All languages (initial selection from common choices by you and others)

values: mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-Equilateral_triangle rootpage-Equilateral_triangle skin-vector action-view


text:
List of songs recorded by Katy Perry
From Wikipedia, the free encyclopedia
Jump to: navigation, search
Katy Perry performing at the Super Bowl XLIX halftime show on February 1, 2015
American singer and songwriter Katy Perry has recorded songs for five studio albums. After singing at church during her childhood, she decided to pursue a career in music in her teenage years.[1] She signed a record deal with Red Hill Records, and released a gospel album called Katy Hudson in 2001.[1] She wrote its songs "Last Call", "My Own Monster", "Spit", and "When There's Nothing Left" by herself while co-writing the remaining six with Mark Dickson, Scott Faircloff, Tommy Collier, and Brian White.[2] The album was unsuccessful and it failed to garner any attention. Red Hill Records shut down later that year.[1] Following two unsuccessful contracts with Island Def Jam Records and Columbia Records, whereby Perry was dropped by both them before she could finish an album, she ultimately secured a deal with Capitol Records in 2007, a division of record label Virgin.[1][3]
Her second studio album, One of the Boys, was released in June 2008.[4] The pop-rock album was composed over a period of five years.[5][6] The lead single, "I Kissed a Girl", was co-written by Perry with Dr. Luke, Max Martin and Cathy Dennis, and alludes to bisexuality.[5] Perry was the sole writer of "Thinking of You", "Mannequin", and the album's title track.[7] The songs "Mannequin" and "Lost" have themes of determination and self-belief.[8] The track "Ur So Gay" opens with the lyrics "I hope you hang yourself with your H&M scarf," which BBC critic Lizzie Ennever believed was Perry's response to people who may have "wronged her in the past".[8] During the recording process of the album, Perry had written the songs "I Do Not Hook Up" and "Long Shot" with Kara DioGuardi and Greg Wells, but decided not to include them on the final track list. They were later recorded by American singer Kelly Clarkson for her album All I Ever Wanted (2009).[6] In 2009, she released a live album titled MTV Unplugged, which featured acoustic performances of five tracks from One of the Boys along with two new recordings, "Brick by Brick" and "Hackensack".[9]
Perry released her third studio album, Teenage Dream, in August 2010.[10] She reunited with Dr. Luke, Max Martin and Greg Wells for most of the songs, but also worked with some new writers and producers for the project.[11] For the track "Firework", Perry collaborated with Sandy Vee, Ester Dean and the Norwegian production duo Stargate, and with Tricky Stewart on the songs "Who Am I Living For?" and "Circle the Drain".[11] Lyrically, "Who Am I Living For?" recalls Perry's Christian roots and retells the biblical story of Esther, the Jewish Queen of Persia who discovered and foiled Haman's plan to massacre the Jewish community.[12][13] "Circle the Drain" alludes to a previous boyfriend's drug addiction, speculated to be about Travie McCoy, and the effects it had on them as a couple, with lyrics which include "You fall asleep during foreplay/ 'Cause the pills you take are more your forte."[14][15] Another Stargate produced track called "Peacock" makes use of double entendres whereby Perry propositions her lover with showing her his penis, singing "I wanna see your peacock, cock, cock."[15][16][17]
The singer re-released the album in March 2012 with the title Teenage Dream: The Complete Confection.[18] New material included alternate versions of some of the standard songs, including an acoustic version of "The One That Got Away".[19] Perry recorded three new songs for the re-issue, including "Dressin' Up", which lyrically documents dressing up for one's lover, and features a request by Perry for a "dirty doggie" to "pet her kitty".[20][21] Her fourth studio album, Prism, was released in October 2013.[22] It was noted for having a noticeably darker and moodier tone than her previous releases.[23] "Dark Horse" is a trap and hip hop song[24][24] about witchcraft and black magic.[25] The song "Birthday" was Perry's attempt at writing a song which Mariah Carey would have included in her eponymous debut album.[26] Aside from her regular collaborators, Perry co-wrote the track "Double Rainbow" with Sia Furler and Greg Kurstin, while Emeli Sandé contributed lyrics to "It Takes Two".[27] Her fifth album, Witness, was released in June 2017. "Bigger than Me", "Bon Appétit", "Chained to the Rhythm", and "Swish Swish" have all been confirmed as tracks from the record.[28]
Songs[edit]
Bonnie McKee has co-written five songs with Perry which have peaked at number one on the US Billboard Hot 100.[29]
Sia Furler co-wrote the songs "Chained to the Rhythm" and "Double Rainbow".[27][30]
Snoop Dogg co-wrote "California Gurls" and appears as a featured artist.[11]
Perry collaborated with Timbaland on "If We Ever Meet Again".[31]
Emeli Sandé co-wrote the song "It Takes Two".[27][27]
John Mayer collaborated with Perry on "Who You Love", and he co-wrote "Spiritual".[27][32]
Perry has covered MGMT's "Electric Feel".[33]
Perry has covered Sam Sparro's "Black and Gold".[33]
Contents
A · B · C · D · E · F · G · H · I · L · M · N · O · P · R · S · T · U · W
Key
Indicates song written solely by Katy Perry
Note: "Use Your Love" is largely a cover of "Your Love" by The Outfield and written by John Spinks.[34]
Name of song, writers, originating album, and year released.
Song
Writer(s)
Album
Year
Ref.
"Act My Age"
Katy Perry
Ilya Salmanzadeh
Rationale
Mark Crew Witness 2017 [35]
"cup !A Cup of Coffee"
Katy Perry
Glen Ballard
Matt Thiessen One of the Boys 2008 [7]
"Bigger than Me"
Katy Perry
Sarah Hudson
Corin Roddick & Megan James
Oscar Holter Witness 2017 [28]
"Birthday"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee
Henry Walter Prism 2013 [27]
"Black and Gold"
Sam Falson
Jesse Rogg One of the Boys (Platinum Australian Tour Edition)
The Hello Katy Australian Tour EP 2008 [36][37]
"Bon Appetit" (featuring Migos)
Katy Perry
Migos
Max Martin
Shellback
Oscar Holter
Ferras Alqaisi Witness 2017 [38]
"Brick by Brick"
Katy Perry
Greg Wells MTV Unplugged 2009 [9]
"By the Grace of God"
Katy Perry
Greg Wells Prism 2013 [27]
"California Gurls"
(featuring Snoop Dogg)
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee
Calvin Broadus Teenage Dream 2010 [11]
"Chained to the Rhythm"
(featuring Skip Marley)
Katy Perry
Skip Marley
Sia Furler
Max Martin
Ali Payami Witness 2017 [38]
"Choose Your Battles"
Katy Perry
Greg Wells
Jonatha Brooke Prism 2013 [27]
"Circle the Drain"
Katy Perry
Christopher "Tricky" Stewart
Monte Neuble Teenage Dream 2010 [11]
"Daisy Bell (Bicycle Built for Two)"
Harry Dacre The Gay Nineties Old Tyme Music: Daisy Bell 2014 [39]
"Dance With the Devil"
Katy Perry
Felix Snow Witness 2017 [40]
"Dark Horse"
(featuring Juicy J)
Katy Perry
Lukasz Gottwald
Max Martin
Henry Walter
Sarah Theresa Hudson
Jordan Houston Prism 2013 [27]
"Déjà Vu"
Katy Perry
Hayden James
Ferras
Thomas Stell Witness 2017 [38]
"Double Rainbow"
Katy Perry
Sia Furler
Greg Kurstin Prism 2013 [27]
"Dressin' Up"
Katy Perry
Christopher "Tricky" Stewart
Monte Neuble
Matt Thiessen Teenage Dream: The Complete Confection 2012 [19]
"Electric Feel"
Andrew VanWyngarden
Ben Goldwasser
Will Berman One of the Boys (Platinum Australian Tour Edition)
The Hello Katy Australian Tour EP 2008 [36][37]
"E.T."
Katy Perry
Lukasz Gottwald
Max Martin
Joshua Coleman Teenage Dream 2010 [11]
"Every Day Is a Holiday"
Katy Perry Promotional single release 2015 [41]
[42]
"Faith Won't Fail"
Katy Perry
Mark Dickson Katy Hudson 2001 [2]
"Feels"
Calvin Harris
Pharrell Williams
Katy Perry
Big Sean Funk Wav Bounces Vol. 1 2017 [43]
"Fingerprints"
Katy Perry
Greg Wells One of the Boys 2008 [7]
"Firework"
Katy Perry
Ester Dean
Sandy Wilhelm
Mikkel Storleer Eriksen & Tor Erik Hermansen Teenage Dream 2010 [11]
"Ghost"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee
Henry Walter Prism 2013 [27]
"Growing Pains"
Katy Perry
Mark Dickson Katy Hudson 2001 [2]
"Hackensack"
Chris Collingwood
Adam Schlesinger MTV Unplugged 2009 [9]
"Hey Hey Hey"
Katy Perry
Max Martin
Sia Furler
Ali Payami
Sarah Hudson Witness 2017 [38]
"Hot n Cold"
Katy Perry
Lukasz Gottwald
Max Martin One of the Boys 2008 [7]
"Hummingbird Heartbeat"
Katy Perry
Christopher "Tricky" Stewart
Monte Neuble
Stacy Barthe Teenage Dream 2010 [11]
"I Kissed a Girl"
Katy Perry
Lukasz Gottwald
Max Martin
Cathy Dennis One of the Boys 2008 [7]
"I Think I'm Ready"
Katy Perry
Ted Bruner One of the Boys (Platinum Australian Tour Edition
The Hello Katy Australian Tour EP 2008 [7]
"If You Can Afford Me"
Katy Perry
Dave Katz
Sam Hollander One of the Boys 2008 [7]
"If We Ever Meet Again"
(Timbaland featuring Katy Perry)
Timothy Mosley
James Washington
Michael Busbee Shock Value II 2010 [31]
"I'm Still Breathing"
Katy Perry
David A. Stewart
Matt Thiessen One of the Boys 2008 [7]
"International Smile"
Katy Perry
Lukasz Gottwald
Max Martin
Henry Walter Prism 2013 [27]
"Into Me You See"
Katy Perry
Alexis Taylor
Joe Goddard
Ferras Witness 2017 [38]
"It Takes Two"
Katy Perry
Benjamin Levin
Emeli Sandé
Mikkel Storleer Eriksen & Tor Erik Hermansen Prism 2013 [27]
"Last Call"
Katy Perry Katy Hudson 2001 [2]
"Last Friday Night (T.G.I.F.)"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee Teenage Dream 2010 [11]
"Legendary Lovers"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee
Henry Walter Prism 2013 [27]
"Legends Never Die"
(Ferras featuring Katy Perry)
Greg Wells
Ferras Alqaisi
Sarah Theresa Hudson Ferras 2014 [44]
"Lost"
Katy Perry
Ted Bruner Ur So Gay (EP)
One of the Boys 2007 [45][7]
"Love Me"
Katy Perry
Max Martin
Christian "Bloodshy" Karlsson
Vincent Pontare
Magnus Lidehäll Prism 2013 [27]
"Mannequin"
Katy Perry One of the Boys 2008 [7]
"Mind Maze"
Katy Perry
Ali Payami
Corin Roddick & Megan James
Sarah Hudson Witness 2017 [38]
"Miss You More"
Katy Perry
Ali Payami
Corin Roddick & Megan James
Sarah Hudson Witness 2017 [38]
"My Own Monster"
Katy Perry Katy Hudson 2001 [2]
"Naturally"
Katy Perry
Scott Faircloff Katy Hudson 2001 [2]
"Not Like the Movies"
Katy Perry
Greg Wells Teenage Dream 2010 [11]
"One of the Boys"
Katy Perry One of the Boys 2008 [7]
"Part of Me"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee Teenage Dream: The Complete Confection 2012 [19]
"Peacock"
Katy Perry
Ester Dean
Mikkel Storleer Eriksen & Tor Erik Hermansen Teenage Dream 2010 [11]
"Pearl"
Katy Perry
Greg Wells Teenage Dream 2010 [11]
"Pendulum"
Katy Perry
Jeff Bhasker
Sarah Hudson Witness 2017 [38]
"Piercing"
Katy Perry
Brian White
Tommy Collier Katy Hudson 2001 [2]
"Power"
Katy Perry
Jack Garratt Witness 2017 [38]
"Rise"
Katy Perry
Max Martin
Savan Kotecha
Ali Payami Non-album single 2016 [46]
"Roar"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee
Henry Walter Prism 2013 [27]
"Roulette"
Katy Perry
Max Martin
Ali Payami
Shellback
Ferras Witness 2017 [38]
"Save as Draft"
Katy Perry
Elof Loelv
Noonie Bao
DJ Mustard
Max Martin
Twice As Nice Witness 2017 [38]
"Search Me"
Katy Perry
Scott Faircloff Katy Hudson 2001 [2]
"Self Inflicted"
Katy Perry
Anne Preven
Scott Cutler One of the Boys 2008 [7]
"Simple"
Katy Perry
Glen Ballard sisterhood !The Sisterhood of the Traveling Pants 2005 [47]
"Spiritual"
Katy Perry
John Mayer
Greg Kurstin Prism 2013 [27]
"Spit"
Katy Perry Katy Hudson 2001 [2]
"Starstrukk"
(3OH!3 featuring Katy Perry)
Nathaniel Motte & Sean Foreman Want 2009 [48]
"Swish Swish"
(featuring Nicki Minaj)
Katy Perry
Adam Dyment
Sarah Hudson
Brittany Hazzard Witness 2017 [38]
"Teenage Dream"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee
Benjamin Levin Teenage Dream 2010 [11]
"One !The One That Got Away"
Katy Perry
Lukasz Gottwald
Max Martin Teenage Dream 2010 [11]
"Thinking of You"
Katy Perry One of the Boys 2008 [7]
"This Is How We Do"
Katy Perry
Max Martin
Klas Åhlund Prism 2013 [27]
"This Moment"
Katy Perry
Benjamin Levin
Mikkel Storleer Eriksen & Tor Erik Hermansen Prism 2013 [27]
"Trust in Me"
Katy Perry
Mark Dickson Katy Hudson 2001 [2]
"Tsunami"
Katy Perry
Mike Will Made It
Scooly
Sarah Hudson
Mia Moretti Witness 2017 [38]
"Ur So Gay"
Katy Perry
Greg Wells Ur So Gay (EP)
One of the Boys 2007 [45][7]
"Unconditionally"
Katy Perry
Lukasz Gottwald
Max Martin
Henry Walter Prism 2013 [27]
"Use Your Love"*
John Spinks
Katy Perry Ur So Gay (EP) 2007 [45]
"Waking Up in Vegas"
Katy Perry
Andreas Carlsson
Desmond Child One of the Boys 2008 [7]
"Walking on Air"
Katy Perry
Max Martin
Klas Åhlund
Adam Baptiste
Camela Leierth Prism 2013 [27]
"When There's Nothing Left"
Katy Perry Katy Hudson 2001 [2]
"White Christmas"
Irving Berlin Winter Songs 2008 [49]
"Who Am I Living For?"
Katy Perry
Christopher "Tricky" Stewart
Monte Neuble
Brian Telestai Teenage Dream 2010 [11]
"Who You Love"
(John Mayer featuring Katy Perry)
John Mayer
Katy Perry Paradise Valley 2013 [32]
"Wide Awake"
Katy Perry
Lukasz Gottwald
Max Martin
Bonnie McKee
Henry Walter Teenage Dream: The Complete Confection 2012 [19]
"Witness"
Katy Perry
Max Martin
Savan Kotecha
Ali Payami Witness 2017 [38]
References[edit]
^ Jump up to: a b c d "Katy Perry – Biography". Billboard. Archived from the original on March 5, 2016.
^ Jump up to: a b c d e f g h i j k Katy Hudson (Media notes). Katy Perry. Red Hill Records. 2001.
Jump up ^ "Correction to the interview with Chris Anokute". HitQuarters. January 21, 2011. Archived from the original on July 13, 2014. Retrieved January 21, 2011.
Jump up ^ "iTunes – Music – One of the Boys by Katy Perry". iTunes Store. June 17, 2008. Archived from the original on February 4, 2016. Retrieved January 20, 2016.
^ Jump up to: a b Merritt, Stephanie (September 14, 2008). "Pop review: Katy Perry, One of the Boys". The Guardian. Archived from the original on August 10, 2014. Retrieved January 30, 2016.
^ Jump up to: a b Montgomery, Jason (August 16, 2009). "Katy Perry Explains Her Link To Kelly Clarkson's New Album". MTV News. Archived from the original on October 30, 2013. Retrieved January 30, 2016.
^ Jump up to: a b c d e f g h i j k l m n o One of the Boys (liner notes). Katy Perry. Capitol Records. 2008.
^ Jump up to: a b Ennever, Lizzie. "BBC – Music – Review of Katy Perry – One of the Boys". BBC. Archived from the original on January 26, 2016. Retrieved January 30, 2016.
^ Jump up to: a b c MTV Unplugged (Compact Disc). Katy Perry. Capitol Records. 2009.
Jump up ^ "iTunes – Music – Teenage Dream by Katy Perry". iTunes Store. August 24, 2010. Archived from the original on February 4, 2016. Retrieved February 4, 2016.
^ Jump up to: a b c d e f g h i j k l m n o Teenage Dream (liner notes). Katy Perry. Capitol Records. 2010.
Jump up ^ Sheffield, Rob (August 23, 2010). "Teenage Dream by Katy Perry". Rolling Stone. Archived from the original on August 26, 2010. Retrieved August 23, 2010.
Jump up ^ Garcia, Melissa (August 29, 2010). "Music In Review: Katy Perry - Teenage Dream". OC Reloaded. OC Reloaded. Retrieved October 1, 2012.
Jump up ^ Montgomery, James (October 1, 2010). "Travie McCoy Finally Addresses Katy Perry's 'Circle The Drain'". MTV News. Archived from the original on December 8, 2013. Retrieved February 4, 2016.
^ Jump up to: a b Wood, Mikael. "Katy Perry, 'Teenage Dream' (Capitol)". Spin. Archived from the original on September 24, 2015. Retrieved February 4, 2016.
Jump up ^ Richards, Chris (August 24, 2010). "Album review of 'Teenage Dream' by Katy Perry". The Washington Post. Archived from the original on January 31, 2016. Retrieved February 4, 2016.
Jump up ^ Paskin, Willa (August 3, 2010). "Katy Perry's 'Peacock' and the Dying Art of the Double Entendre". New York. Archived from the original on January 24, 2012. Retrieved February 4, 2016.
Jump up ^ "iTunes – Music – Teenage Dream: The Complete Confection by Katy Perry". iTunes Store. March 23, 2012. Archived from the original on December 29, 2015. Retrieved February 4, 2016.
^ Jump up to: a b c d Teenage Dream: The Complete Confection (liner notes). Katy Perry. Capitol Records. 2012.
Jump up ^ Rubenstein, Jenna Hally (March 30, 2012). "Watch Katy Perry's 'Dressin' Up' Lyric Video!". MTV News. Archived from the original on December 27, 2013. Retrieved February 4, 2016.
Jump up ^ Maerz, Melissa (March 23, 2012). "Teenage Dream: The Complete Confection". Entertainment Weekly. Archived from the original on October 29, 2013. Retrieved February 4, 2016.
Jump up ^ "iTunes – Music –Prism by Katy Perry". iTunes Store. October 23, 2013. Archived from the original on February 4, 2016. Retrieved February 4, 2016.
Jump up ^ Dolan, Jon (October 17, 2013). "Katy Perry 'Prism' Review". Rolling Stone. Archived from the original on April 9, 2016. Retrieved February 4, 2016.
^ Jump up to: a b Lipshutz, Jason (September 6, 2013). "Katy Perry's 'Prism' Album Preview: 10 Things You Need To Know". Billboard. Archived from the original on March 4, 2016. Retrieved February 4, 2016.
Jump up ^ Sieczkowski, Cavan (February 4, 2016). "Christian Singers Sue Katy Perry Over 'Dark Horse'". The Huffington Post. Arianna Huffington. Archived from the original on July 3, 2014. Retrieved July 3, 2014.
Jump up ^ Lipshutz, Jason (September 6, 2013). "Katy Perry's 'Prism' Album Preview: 10 Things You Need To Know". Billboard. Archived from the original on March 4, 2016. Retrieved February 4, 2016.
^ Jump up to: a b c d e f g h i j k l m n o p q r s t u Prism (liner notes). Katy Perry. Capitol Records. 2013.
^ Jump up to: a b Smith, Da'Shan (May 16, 2017). "Everything We Know About Katy Perry's 'Witness' Album (So Far)". Billboard. Archived from the original on May 17, 2017. Retrieved May 20, 2017.
Jump up ^ Diehl, Matt (August 13, 2013). "Singles Lady: Bonnie McKee is looking out for number one". Billboard. Prometheus Global Media. Archived from the original on October 5, 2013. Retrieved December 9, 2013.
Jump up ^ Brandle, Lars (February 10, 2017). "Katy Perry Unleashes New Song 'Chained to the Rhythm': Listen". Billboard. Archived from the original on February 10, 2017. Retrieved February 10, 2017.
^ Jump up to: a b Shock Value II (liner notes). Timbaland. Blackground Records, Mosley Music Group. 2009.
^ Jump up to: a b Paradise Valley (liner notes). John Mayer. Columbia Records, Sony Music Entertainment. 2013.
^ Jump up to: a b "Top 5 Katy Perry Covers". Live 105. August 23, 2010. Archived from the original on February 2, 2017. Retrieved January 20, 2017.
Jump up ^ Nester, Daniel. "Josie Reconsidered: Notes on The Outfield's "Your Love" by Daniel Nester". Coldfront. Retrieved 30 August 2017.
Jump up ^ Cite error: The named reference https://genius.com/Katy-perry-act-my-age-lyrics was invoked but never defined (see the help page).
^ Jump up to: a b "One of the Boys (Australia Tour Edition) by Katy Perry on Apple Music". Archived from the original on 2015-10-03.
^ Jump up to: a b "Australian Tour EP by Katy Perry on Apple Music". Archived from the original on 2015-10-03.
^ Jump up to: a b c d e f g h i j k l m n Perry, Katy (June 9, 2017). "Witness". iTunes Store. Archived from the original on May 19, 2017. Retrieved May 20, 2017.
Jump up ^ "Kirk Hammett, Katy Perry to feature in a song". The Indian Express. May 7, 2014. Archived from the original on February 2, 2017. Retrieved January 20, 2017.
Jump up ^ https://genius.com/Katy-perry-dance-with-the-devil-lyrics
Jump up ^ "World Premiere: H&M holiday featuring Katy Perry". H&M. November 23, 2015. Archived from the original on November 24, 2015. Retrieved November 23, 2015.
Jump up ^ Falcone, Dana Rose. "'Everyday Is a Holiday' in Katy Perry's new Christmas song". Entertainment Weekly. Archived from the original on November 27, 2015. Retrieved January 29, 2015.
Jump up ^ Cite error: The named reference https://www.youtube.com/watch?v=ozv4q2ov3Mk was invoked but never defined (see the help page).
Jump up ^ "Ferras". AllMusic. Archived from the original on March 4, 2016. Retrieved January 30, 2016.
^ Jump up to: a b c "Ur So Gay - EP by Katy Perry on Apple Music". iTunes. Retrieved 29 August 2017.
Jump up ^ Kaufman, Gil (July 15, 2016). "Watch Katy Perry's Inspirational 'Rise' Rio Olympics Video". Billboard. Archived from the original on July 17, 2016. Retrieved July 15, 2016.
Jump up ^ The Sisterhood of the Traveling Pants Soundtrack (liner notes). Various Artists. Columbia Records. 2005.
Jump up ^ Want (liner notes). 3OH!3. Atlantic Records, Photo Finish Records. 2009.
Jump up ^ "Winter Songs by Various Artists on Apple Music". iTunes. Retrieved 5 December 2017.
[hide]
v
t
e
Katy Perry
Discography
Videography
Awards and nominations
Songs
Studio albums
Katy Hudson
One of the Boys
Teenage Dream
Prism
Witness
Other releases
MTV Unplugged
Teenage Dream: The Complete Confection
Singles
"I Kissed a Girl"
"Hot n Cold"
"Thinking of You"
"Waking Up in Vegas"
"California Gurls"
"Teenage Dream"
"Firework"
"E.T."
"Last Friday Night (T.G.I.F.)"
"The One That Got Away"
"Part of Me"
"Wide Awake"
"Hummingbird Heartbeat"
"Roar"
"Unconditionally"
"Dark Horse"
"Birthday"
"This Is How We Do"
"Rise"
"Chained to the Rhythm"
"Bon Appétit"
"Swish Swish"
"Hey Hey Hey"
Other songs
"Ur So Gay"
"Not Like the Movies"
"Circle the Drain"
"Peacock"
"Dressin' Up
"Walking on Air"
"By the Grace of God"
"Every Day Is a Holiday"
"Save as Draft"
Collaborations
"Starstrukk"
"If We Ever Meet Again"
"Who You Love"
"Feels"
Concert tours
Hello Katy Tour
California Dreams Tour
Prismatic World Tour
Witness: The Tour
Fragrances
Purr
Meow!
Killer Queen
Mad Potion
Related articles
Katy Perry: Part of Me
Unsub Records
Russell Brand (ex-husband)
Frank Perry (uncle)
The Matrix
Super Bowl XLIX halftime show
Katy Perry Live: Witness World Wide
Book
Portal
Retrieved from "https://en.wikipedia.org/w/index.php?title=List_of_songs_recorded_by_Katy_Perry&oldid=837908751"
Categories:
Katy Perry songs
Lists of songs by American recording artists
Hidden categories:
Pages with reference errors
Pages with broken reference names
Featured lists
Navigation menu
Personal tools
Not logged in
Talk
Contributions
Create account
Log in
Namespaces
Article
Talk
Variants
Views
Read
Edit
View history
More
Search
Navigation
Main page
Contents
Featured content
Current events
Random article
Donate to Wikipedia
Wikipedia store
Interaction
Help
About Wikipedia
Community portal
Recent changes
Contact page
Tools
What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Wikidata item
Cite this page
Print/export
Create a book
Download as PDF
Printable version
Languages
Čeština
فارسی
Հայերեն
Türkçe
Tiếng Việt
Edit links
This page was last edited on 23 April 2018, at 19:12.
Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.
Privacy policy
About Wikipedia
Disclaimers
Contact Wikipedia
Developers
Cookie statement
Mobile view
Enable previews

values: mw-page-base noprint

values: mw-head-base noprint

values: This is a featured list. Click here for more information.

attrs: class id

values: firstHeading firstHeading en

values: siteSub noprint

values: jump-to-nav mw-jump

values: A female holding a microphone singing while facing forward

values:
/wiki/Studio_albums
mw-redirect
Studio albums

value: sup

values:
/wiki/Red_Hill_Records
mw-redirect
Red Hill Records

values:
/wiki/Island_Def_Jam_Records
mw-redirect
Island Def Jam Records

values:
/wiki/Stargate_(production_team)
mw-redirect
Stargate (production team)

values:
/wiki/Haman_(biblical_figure)
mw-redirect
Haman (biblical figure)

values:
/wiki/Drug_addiction
mw-redirect
Drug addiction

values:
/wiki/Trap_music_(hip_hop)
mw-redirect
Trap music (hip hop)

values: A picture of a man singing and holding a microphone

values: A picture of a man wearing a black vest top

values: A woman appears wearing a black lace dress, singing into a microphone. One hand rests on the microphone.

values: Indicates songs written solely by Katy Perry

values:
col
headerSort
0
columnheader button
Sort ascending

attrs: scope data-sort-type class tabindex role title

values:
col
text
headerSort
0
columnheader button
Sort ascending

values:
/wiki/Busbee_(songwriter)
mw-redirect
Busbee (songwriter)

values: background: #ececec; color: #2C2C2C; vertical-align: middle; font-size: smaller; text-align: center;

values: The Sisterhood of the Traveling Pants (film)

values:
/wiki/EarDrummers_Entertainment
mw-redirect
EarDrummers Entertainment

values: wikitable sortable plainrowheaders jquery-tablesorter

values:
/wiki/Sony_Music_Entertainment
mw-redirect
Sony Music Entertainment

values: Help:Cite errors/Cite error references no text

values: -moz-column-width: 30em; -webkit-column-width: 30em; column-width: 30em; list-style-type: decimal;

values:
Katy_Perry
fn
font-size:114%;margin:0 4em

values: List of awards and nominations received by Katy Perry

values:
navbox-abovebelow
2
background: #EEEEEE;

values:
row
navbox-group
width:1%;background: #EEEEEE;

attrs: alt src title width height srcset data-file-width data-file-height

values: nowraplinks vcard hlist collapsible autocollapse navbox-inner

values: Category:Lists of songs by American recording artists

values: Category:Pages with broken reference names

values: Discussion about edits from this IP address [ctrl-alt-n]

values: A list of edits made from this IP address [ctrl-alt-y]

values: You are encouraged to create an account and log in; however, it is not mandatory

values: You're encouraged to log in; however, it's not mandatory. [ctrl-alt-o]

values: Discussion about the content page [ctrl-alt-t]

values: p-namespaces navigation vectorTabs p-namespaces-label

values:
p-variants
navigation
vectorMenu emptyPortlet
p-variants-label

values: Past revisions of this page [ctrl-alt-h]

values: p-views navigation vectorTabs p-views-label

values:
p-cactions
navigation
vectorMenu emptyPortlet
p-cactions-label

values:
mw-wiki-logo
/wiki/Main_Page
Visit the main page

values:
/wiki/Main_Page
Visit the main page [ctrl-alt-z]
z

values: Featured content – the best of Wikipedia

values: Find background information on current events

values:
/wiki/Special:Random
Load a random article [ctrl-alt-x]
x

values: portal navigation p-navigation p-navigation-label

values: Guidance on how to use and edit Wikipedia

values: About the project, what you can do, where to find things

values: A list of recent changes in the wiki [ctrl-alt-r]

values: portal navigation p-interaction p-interaction-label

values: List of all English Wikipedia pages containing links to this page [ctrl-alt-j]

values: Recent changes in pages linked from this page [ctrl-alt-k]

values:
/wiki/Wikipedia:File_Upload_Wizard
Upload files [ctrl-alt-u]
u

values: A list of all special pages [ctrl-alt-q]

values: Permanent link to this revision of the page

values: Link to connected data repository item [ctrl-alt-g]

values: Printable version of this page [ctrl-alt-p]

values: فهرست ترانه‌های ضبط‌شده توسط کیتی پری – Persian

values: Քեթի Փերրիի ձայնագրած երգերի ցանկ – Armenian

values: interlanguage-link interwiki-tr badge-Q17506997 badge-featuredlist

values: Danh sách bài hát thu âm bởi Katy Perry – Vietnamese

values: /static/images/wikimedia-button-1.5x.png 1.5x, /static/images/wikimedia-button-2x.png 2x

values: /static/images/poweredby_mediawiki_132x47.png 1.5x, /static/images/poweredby_mediawiki_176x62.png 2x

values:
suggestions
display: none; font-size: 13px;

values: mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject page-List_of_songs_recorded_by_Katy_Perry rootpage-List_of_songs_recorded_by_Katy_Perry skin-vector action-view