Home > Iowa Academy of Science > Proceedings of the Iowa Academy of Science > Volume 63 (1956) > Annual Issue

#### Article Title

#### Document Type

Research

#### Abstract

In almost all books on College Algebra, the Pascal Triangle is placed in such a position as to show the binomial coefficients in a horizontal line. This position is appropriate when the only use of the triangle is to help students remember these coefficients; but Pascal had a wider purpose in mind. Pascal's Construction. Pascal first sets up a lattice-work consisting of equal squares, assigning to each square a definite positive integer which he determines as follows. 1. The number in each square of the 1st (top) row, and also in each square of the 1st (left-hand) column is to be unity. 2. To each other square is assigned an integer determined by the recurrence relation which he states thus: "The number in any other square is equal to the sum of the two numbers immediately to the left, and immediately above it."

#### Publication Date

1956

#### Journal Title

Proceedings of the Iowa Academy of Science

#### Volume

63

#### Issue

1

#### First Page

534

#### Last Page

537

#### Copyright

©1956 Iowa Academy of Science, Inc.

#### Language

en

#### File Format

application/pdf

#### Recommended Citation

McClenon, R. B.
(1956)
"Pascal's Arithmetical Triangle,"
*Proceedings of the Iowa Academy of Science, 63(1),* 534-537.

Available at:
https://scholarworks.uni.edu/pias/vol63/iss1/54