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nydus/Miscellanea Curiosa, Vol. 1Public
Page 376 of 441
Table of Contents

Miscellanea Curiosa.

(as many) Parts unequal in FA, or hd.

  1. But, what is the Proportion of r to 1, or (which depends on it) of 1 - r to 1, or 1 to m; remains to be inquired by Experiment?
  1. If the Progression be not infinitely continued; but end (suppose) at N, and its least Term be A = MN; then, out of

V / R - 1 = 1m + 1mm + 1m3, &c. is to be subducted

A / R - 1 (as at ¶ 10.) that is

(as by Division will appear) AR + AR2 + AR3 &c. That is (in our present Case) am + amm + am3 &c. And so the Aggregate will be

1-a / m +

1-a / mm +

1-a / mmm &c. =

1-a / n.

And thus as to the Line

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