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An Exact Geometrical Construction for the Exponential Curve

Published online by Cambridge University Press:  31 October 2008

David Robertson
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Consider the curve y = ae−t/t0 (Fig. 1.)

Mark off along the t – axis a distance OT0 equal to the time constant t0.

Divide OT0 into n equal parts and erect ordinates at each point of division.

M, N, are the mth and (m + 1)th of these, counting from O.

MP, NQ, are the corresponding ordinates; P, Q, the points on the curve; and R the intersection of the chord, produced, with the t – axis.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 16 , May 1914 , pp. 184 - 186
Copyright
Copyright © Edinburgh Mathematical Society 1914