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A right-triangle with inscribed circle.
GrantHubbardGrantHubbard

A right-triangle with inscribed circle.

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A right-angled triangle has an inscribed circle. If the radius is 1, diameter is 2, triangle has side lengths of 3,4,5 and area of 6. Geometry is generating the integers! For the 3,4,5 triangle case, the radius can be found algebraically or by construction. For the general case a rule can be proven algebraically in several ways. The problem is far more fascinating than the solution!
How to Find a Fourier Series: Easy Steps
GrantHubbardGrantHubbard

How to Find a Fourier Series: Easy Steps

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Clear, step-by-step instructions for finding the Fourier Series of basic functions Definitions and graphs included Instructions included for integration Examples included Part of a wider set of lecture notes