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Pascal's triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format (x + y)n. The formation also demonstrates many other mathematical properties, such as listing the entire set of the natural numbers in the first diagonal rows. This phenomenon is named after Blaise Pascal in the western world, however was studied in detail before his time in many Asian countries.
It is also called the Halayudha's triangle, in honor of the Sanskrit prosody scholar who described it. (See: Alexander Zawaira and Gavin Hitchcock (2008), A Primer for Mathematics Competitions, Oxford University Press, ISBN 978-0-19-156170-2, page 237)
It is alternately referred to as "Khayyam's triangle" after the Persian Omar Khayyám. Each number is the sum of the two directly above it. This animation shows this relation in the construction of the first five rows, however the pattern applies for an infinite range.
This version has the 1 cells already filled in, and includes actual animation to better demonstrate the construction.
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{{Information |Description=Pascal's triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format (x + y)<sup>n</sup>. The
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Fayl Faylin tarixcesi Fayl kecidleri Faylin qlobal istifadesiDaha yuksek versiyasi yoxdur PascalTriangleAnimated2 gif 8206 260 240 piksel fayl hecmi 27 KB MIME novu image gif ilmelenib 84 cercive 12 s Bu fayl Vikimedia Commons dadirve diger layihelerde istifade edile biler Faylin tesvir sehifesine get Xulase IzahPascalTriangleAnimated2 gif Pascal s triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format x y n The formation also demonstrates many other mathematical properties such as listing the entire set of the natural numbers in the first diagonal rows This phenomenon is named after Blaise Pascal in the western world however was studied in detail before his time in many Asian countries It is also called the Halayudha s triangle in honor of the Sanskrit prosody scholar who described it See Alexander Zawaira and Gavin Hitchcock 2008 A Primer for Mathematics Competitions Oxford University Press ISBN nbsp 978 0 19 156170 2 page 237 It is alternately referred to as Khayyam s triangle after the Persian Omar Khayyam Each number is the sum of the two directly above it This animation shows this relation in the construction of the first five rows however the pattern applies for an infinite range This version has the 1 cells already filled in and includes actual animation to better demonstrate the construction Tarix 18 aprel 2008 Menbe Oz isi Muellif Hersfold on the English Wikipedia Diger versiyalar Lisenziya Public domain Public domain false false Men bu eserin muellif huquqlarinin sahibi kimi eseri ictimai mulkiyyete verirem Bu icaze butun dunyada quvvededir In some countries this may not be legally possible if so Bunun qanunla mumkun olmadigi hallarda Istenilen sexse istenilen meqsed ucun qanunlar terefinden qadagan edilmeyince hec bir sert qoymadan bu isden istifade haqqini bagislayiram CaptionsazerbaycancaAdd a one line explanation of what this file representsItems portrayed in this filetesvir edircopyright status nbsp ingiliscopyrighted dedicated to the public domain by copyright holder nbsp ingiliscopyrighted nbsp ingilislisenziyareleased into the public domain by the copyright holder nbsp ingilisyaranma tarixi18 aprel 2008source of file nbsp ingilisoriginal creation by uploader nbsp ingilisMIME type nbsp ingilisimage gif Faylin tarixcesi Faylin evvelki versiyasini gormek ucun gun tarix bolmesindeki tarixlere klikleyin Tarix VaxtKicik sekilOlculerIstifadeciSerh indiki18 59 21 may 2023260 240 27 KB PhreneticcReduced file weight with FileOptimizer in lossless compression mode 19 45 2 may 2012260 240 28 KB Dratini0Optimized and fixed with Gimp because it did not work for me in LibreOffice and Gimp I might have made a mistake 20 49 18 aprel 2008260 240 41 KB Hersfold Information Description Pascal 039 s triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format x y lt sup gt n lt sup gt The Fayl kecidleri Bu sekile olan kecidler Tusi Paskal ucbucagi Faylin qlobal istifadesi Bu fayl asagidaki vikilerde istifade olunur als wikipedia org layihesinde istifadesi Pascalsches Dreieck ar wikipedia org layihesinde istifadesi مثلث باسكال بوابة رياضيات صورة مختارة أرشيف بوابة رياضيات صورة مختارة 3 arz wikipedia org layihesinde istifadesi باسكال be wikipedia org layihesinde istifadesi Gistoryya teoryi imavernascej bn wikipedia org layihesinde istifadesi প য সক ল র ত র ভ জ bs wikipedia org layihesinde istifadesi Blaise Pascal Pascalov trougao ca wikipedia org layihesinde istifadesi Triangle de Tartaglia ckb wikipedia org layihesinde istifadesi سێگۆشەی پاسکاڵ cs wikipedia org layihesinde istifadesi Pascaluv trojuhelnik cv wikipedia org layihesinde istifadesi Paskal Blez da wikipedia org layihesinde istifadesi Blaise Pascal Pascals trekant de wikipedia org layihesinde istifadesi Blaise Pascal Pascalsches Dreieck Benutzer Das Volk Spielzeugladen Wikipedia Auskunft Archiv 2012 Woche 42 de wikibooks org 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Archive Nov 2012 eo wikipedia org layihesinde istifadesi Triangulo de Pascal es wikipedia org layihesinde istifadesi Blaise Pascal Triangulo de Pascal Usuario Envilchez Taller et wikipedia org layihesinde istifadesi Tuumamagnetresonantsspektroskoopia eu wikipedia org layihesinde istifadesi Pascalen hirukia fa wikipedia org layihesinde istifadesi بلز پاسکال fi wikipedia org layihesinde istifadesi Pascalin kolmio fr wikiversity org layihesinde istifadesi Sommation Formule du binome Bu faylin qlobal istifadesine baxin Menbe https az wikipedia org wiki Fayl PascalTriangleAnimated2 gif, wikipedia, oxu, kitab, kitabxana, axtar, tap, hersey,
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