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 135
FE: therefore the triangle ABG is equi-angular to the triangle DEF; wherefore, (4. 6.) as AB is to BG,so is DE to EF; but as DE to EF, so, by hypothesis, is AB to BG;therefore as AB to BG, so is AB to BG (11. 5.); and because ABhas the same ratio to each of the lines BG, BG; BG is equal (9. 5.)to… … BOOK VI. ir^/if^. THE ELEMENTS OF EUCLID. 133
Mathematics, Greek · Geometry · Trigonometry
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