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XII.
Of late also, the most ingenious Mr. Isaac Newton, to de∣monstrate his Philosophiae Naturalis Principia Mathematica, lib. 1. sect. 1. premises some Lemma's of his method of Rati∣ones primae & ultimae, or evanescent quantities, thereby to a∣void the tediousness of deducing long and perplext apagogical De∣monstrations after the way of the Ancients. For finding that his Demonstrations might be very much contracted by the method of Indivisibles, and knowing at the same time, that that me∣thod was scrupled by some, and thought not very Geometrical, he rather chose to found his Method on the sums and proportions of quantities which he calls Evanescent, which performs the same as the Method of Indivisibles, and may be more safely used, which he inculcates in these very words, and others such like, in Schol. of Lemma. 11. And also answers se∣veral objections which might seem to make against it.