Pi: A Source Book pp 112-128 | Cite as

# On the Use of the Discovered Factors to Sum Infinite Series

Chapter

## Abstract

If , then these factors, whether they be finite or infinite in number, must produce the expression , when they are actually multiplied. It follows then that the coefficient *A* is equal to the sum . The coefficient *B* is equal to the sum of the products taken two at a time. Hence . Also the coefficient *C* is equal to the sum of products taken three at a time, namely . We also have *D* as the sum of products taken four at a time, and *E* is the sum of products taken five at a time, etc. All of this is clear from ordinary algebra.

## Keywords

Ordinary Algebra Real Exponential Equal Exponent
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## Copyright information

© Springer Science+Business Media New York 1997