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The history ofPascal’s triangleBy ::ST Z NURHAJARURAHMAH
One of the most interestingNumber Patterns is PascalsTriangle (named after Blaise Pascal,a famous French Mathematicianand Philosopher).In mathematics, Pascals triangle isa triangulararray ofthe binomialWhat is thePascaltriangle ???
1623: Born in Clermont-Ferrand.1631: The family moved to Paris.1639: Writing a short treatise onthe "Mystic Hexagram"; Étienneking appointed tax commissionerin the city of Rouen1642: Built a mechanicalcalculator.1647: Out with the "Experiencetouchant Nouvelles le vide“1651: His father died.BlaisePascal’stimeline
1653: Came to the Traité du trianglearithmétique now called Pascalstriangle1654: Facing a deadly accident onthe bridge near Neuilly1655: Pascal traveled to themonastery at Port-Royal1656: First appearance "with theProvincial Letters".1656-57: Published series of letters181659: since he was 18 y.o he gettingsick1661: His sister, Jacqueline died.1662: Died in Paris on August 19.
Finding the shortestpath from a location thathas a lot of ramificationsKnowing the number ofAssociation Part Of Aset of11n of Pascal triangleIn binomial NewtonFibonacci sequenc3Theapplications of Pascaltriangle
Focusing on the history and construction of Pascal’sTriangle, as well as on its patterns and applications inseveral areas of mathematics, I hope to have conveyed toyou some of the most interesting and useful pieces ofinformation known about the triangle. Yet, “we have onlyscratched the surface of the iceberg” (Neff 46). I extendan invitation to you to begin or continue to search for theunknown secrets lying behind the infinite set of numbersin Pascal’s magnificent triangle.CONCLUTIONS
tHe End.Thank you.Blaise Pascal –Le couer a ses raison ne connait point
In mathematics andcomputing,a triangulararray of numbers,polynomials, or thelike, is a doublyindexed sequence inwhich each row is onlyas long as the rows
In Mathematics, binomialcoefficients are afamily ofpositive integers thatoccur as coefficient inthe binomial theorem.