but perpetually approaching to A, in the Nature of Asymptotes.
- The Spaces Fl, Fm, Fn, &c. are therefore as Logarithms (in Arithmetical Progression increasing) answering to the Lines AF, AL, AM, &c. or to FL, LM, MN, &c. in Geometrical Progression decreasing.
- Because FL, LM, MN, &c. are as 1⁄m, 1⁄mm, 1⁄m3, &c. (infinitely) terminated at A; therefore (by ¶ 10) their Aggregate FA or dh, is to DH, (so much Length as would have been dispatched, in the same time, by such impressed Force undiminished) as 1 to m - 1 = n.
- If therefore we take, as 1 to n, so AF to DH; this will represent the Length to be dispatched, in the same time, by such undiminished Force.
- And if such DH be supposed to be divided into equal Parts innumerable (and therefore infinitely small;) these answer to those