Pascal

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Pascals Triangle

• Bethany Espinosa
• CSCI 1300-1 830
• Computer 18

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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 (1623
  - 1662)

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All About Pascals 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/Combinatori
  cs
• Also contains Fibonacci sequence, triangular,
  polygonal, square numbers

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How to Construct It

• Pascals 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

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Want to Learn More?

• Patterns In Pascal's Triangle
• Pascal's Triangle From Top To Bottom - the
  binomial coefficient website
• All You Ever Wanted to Know About Pascal's
  Triangle and more
• A.W.F. Edwards Pascals Arithmetic Triangle The
  Story of a Mathematical Idea
• Dale Seymours Visual Patterns in Pascals
  Triangle

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Bibliography

• Pascals Triangle. 1994. Drexel University 4
  Apr 2005lthttp//mathforum.org/dr.math/faq/faq.pasc
  al.triangle.htmlgt.
• Weisstein, Eric W. Pascals Triangle. 1999.
  Math World 4 Apr 2005lthttp//mathworld.wolfram.com
  /PascalsTriangle.htmlgt.

• OConner, J.J. and Robertson, E.F. Blaise
  Pascal. December 1996. School of Mathematics and
  Statistics University of St. Andrews, Scotland 4
  Apr 2005 lthttp//www-groups.dcs.st-and.ac.uk/hist
  ory/Mathematicians/Pascal.htmlgt.