Euclid's Elements of Geometry: From the Latin Translation of Commandine, to Which Is Added, a Treatise of the Nature and Arithmetic of Logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry; With a Preface, Shewing the Usefulness

Excerpt from Euclid's Elements of Geometry: From the Latin Translation of Commandine, to Which Is Added, a Treatise of the Nature and Arithmetic of Logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry; With a Preface, Shewing the Usefulness and Excellency of This Work

In the fifth Book, they have wholly re jetted Euclid's Demon/irations, and have given a Definition of Proportion dlfih'reflt from Euclid's, and which comprehends hut one qf the two Species of Proportion, taking in only contmenjurahle Quantities. Which great Fault, no Logician or Geometrtcian would ever have pardoned, had not tho/e Authors done laudahle Things in their other Mathematical Writings. Indeed, this Fault of theirs is common to all Modern Writers of Elements, who all fplit on the jizme' Rock; and to fhew their Skill, hlame Eu-z. Did, for what, on the contrary, he ought to he commended I mean, the Definition of proportional Quantities, wherein he jhews an ea/y Property of thofi Qgtantities, taking in hath commeryurahle and incommen/urahle ones, and from which all the other Proper tier of P roporti anals do eafily follow.

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