The Pascal's triangle and its geometric interpretations
Date of Publication
1992
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Applied Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper gives a relationship between geometry and Pascal's Triangle. It present three geometric interpretations of Pascal's Triangle. These are fully explained with illustrations provided for easier understanding.The researchers are able to make the following generalizations:1. Given n points in real (n-1)- space, the entry in row n and diagonal m of the Pascal's Triangle gives the number of (m -1) spaces determined by n points taken m at a time.2. Given n points in the plane forming the vertices of a convex polygon, the entry in row n and diagonal m of the Pascal's Triangle gives the number of m-gons determined by those points and the segments joining them.3. In the real plane, if n points are given, the entry in the diagonal m and row n of the Pascal's Triangle gives the number of algebraic polynomial functions in one variable of m - 1 degree which are determined by the point n taken m at a time.
Abstract Format
html
Language
English
Format
Accession Number
TU05733
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
61 leaves
Keywords
Pascal's triangle; Geometry--Problems, exercises, etc.
Recommended Citation
Semeon, P., & Balintec, G. (1992). The Pascal's triangle and its geometric interpretations. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/15980
