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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 326

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 326
F, the angles ABC,DEF are equal, and the sides BA, ACand ED, DF about two of the otherangles proportionals, the triangle ABCis similar (7. 6.) to the triangle DEF.In the same manner, the triangle ABLis similar to DEK. And the trianglesDEF, DEK are given in species; there-fore also the trianeles… … PROP. XLVIII. 45. If a triangle has one angle given, and if both the sidestogether about that angle have a given ratio to the re-maining side; the triangle is given in species. Let the triangle ABC have the angle BAC given, and let thesides BA, AC together about that angle have a given ratio toBC;…

Mathematics, Greek · Geometry · Trigonometry

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