Pascal’s Triangle Bethany Espinosa CSCI 1300-1 8:30 Computer 18.

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Presentation transcript:

Pascal’s Triangle Bethany Espinosa CSCI :30 Computer 18

Blaise Pascal Born June 1623, Died August 1662 French scientist, mathematician, physicist, & religious philosopher Contributed to many theorems and experiments pertaining to conic sections, projective geometry, and atmospheric pressure Complete biography and more: Blaise Pascal ( )Blaise Pascal ( )

All About Pascal’s Triangle Studied by Pascal although it had been described centuries earlier by Chinese mathematician Yanghui. Therefore, known as Yanghui triangle in China. Used mostly in Algebra and Probability/Combinatorics Also contains Fibonacci sequence, triangular, polygonal, & square numbers

How to Construct It Pascal’s formula shows that each subsequent row is obtained by adding the two entries diagonally above it Begin with the number 1, then start a new row using the formula

Want to Learn More? Patterns In Pascal's Triangle Pascal's Triangle From Top To Bottom - the binomial coefficient websitePascal's Triangle From Top To Bottom - the binomial coefficient website All You Ever Wanted to Know About Pascal's Triangle and moreAll You Ever Wanted to Know About Pascal's Triangle and more A.W.F. Edwards’ Pascal’s Arithmetic Triangle: The Story of a Mathematical Idea Dale Seymour’s Visual Patterns in Pascal’s Triangle

Bibliography “Pascal’s Triangle.” Drexel University 4 Apr rg/dr.math/faq/faq.pascal.triangle.html Weisstein, Eric W. “Pascal’s Triangle.” Math World 4 Apr olfram.com/PascalsTriangl e.html O’Conner, J.J. and Robertson, E.F. “Blaise Pascal.” December School of Mathematics and Statistics University of St. Andrews, Scotland 4 Apr groups.dcs.st- and.ac.uk/~history/Mathe maticians/Pascal.html