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 351
A,that is, as FH to FE. Letthe given ratio of the rect-angle BA, AC to the square of BC be the same with the ratio ofthe straight line EF to FL; therefore, ex asqiialij the ratio of therectangle AD, BC to the square of BC, that is, the ratio of thestraight line AD to BC, is the same with the ratio… … EUCLID S DATA. 349 lo FL, must not be greater than the ratio of MN to BC: let it beS05 and, by the 77th clat. find a triangle OPQ which has one ofits angles POQ equal to the given angle BAG, and the ratio ofthe perpendicular OR, drawn from that angle to the base PQ thesame with the ratio of HF to…
Mathematics, Greek · Geometry · Trigonometry
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