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Definition: Pascal's triangle from The Penguin English Dictionary

a set of numbers arranged in a triangle, each of which is obtained by adding together the numbers above it, and which is used to determine the coefficients of the terms in an expansion made using the binomial theorem [named after Blaise Pascal: see pascal].

Summary Article: Pascal's triangle (in Mathematics)
from Dictionary of Engineering Terms, Butterworth-Heinemann

A convenient summary of the coefficients in the binomial expansion of (a + b)n, where n is an integer as shown in Fig. P.2. Each row relates to a particular value of n, and each coefficient is determined by adding together the two coefficients immediately above it on the previous line.

Pascal's Triangle

Fig. P.2 Pascal's Triangle

Dictionary of Engineering Terms, Butterworth-Heinemann © 2001

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(1876) : a coefficient of a term in the expansion of the binomial (x + y)n according to the binomial theorem

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