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 146
have the sides about the equal angles of each of them and of Cproportionals. Wherefore the rectilineal figures A and B areequiangular (1. Ax. 1.), and have their sides about the equal an-gles proportionals (11. 5.). Therefore A is similar (l. def. 6.) toB. Q. E. D. PROP. XXII. THEOR. If four… … 144 THE ELEMENTS OF EUCLID. BOOK VI. proportionals, those straight Unes shall be proportion-als. Let the four straight lines AB, CD, EF, GH be proportionals,viz. AB to CD, as EF to GH, and upon AB, CD let the similarrectilineal figures KAB, LCD be similarly described; and uponEF. GH the similar…
Mathematics, Greek · Geometry · Trigonometry
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