continual proportion,
That is, A. B :: B. C :: C. D :: &c.
And dividing (A - B). B :: (B - C). C :: (C - D). D :: &c.
That is, a. B :: b. C :: d. D :: &c.
And alternly a. b. c. &c. :: B. C. D. &c. :: A. B. C. &c.
That is, in continual proportion as A to B, or as m to 1.
- This being done; the Hyperbolick Spaces Fl, Lm, Mn, &c. are equal. As is demonstrated by Gregory San-Vincent; and as such is commonly admitted.
- So that Fl, Lm, Mn, &c. may fitly represent equal Times, in which are dispatched unequal Lengths, represented by FL, LM, MN, &c.
- And because they are in Number infinite (though equal to a finite Magnitude) the Duration is infinite: And consequently the impressed Force, and Motion thence arising, never to be wholly extinguished (without some further Impediment)