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The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)

Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 137

An illustration from The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected, 1834, leaf 137
be cut off from it: join BC, and draw DE pa-rallel to it: then AE is the part required to becut off. Because ED is parallel to one of the sides ofthe triangle ABC, viz. to BC, as CD is to DA,so is (2. 6.) BE to EA; and, by composition (18.5.) CA is to AD as BA to AE: but CA is a mul-tiple of AD;… … BOOK VI. THE ELEMENTS OF EUCLID. 135

Mathematics, Greek · Geometry · Trigonometry

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