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 335
H,and the angle KCL equal to the angle MBC; therefore the ratioof D to H, that is, of BK to KL, is the same with the ratio of BCto CL: and because the figures D, A are similar, and that theratio of D to A, or H, is the same with the ratio of BC to CL;by the 58th dat. the ratio of the homologous… … Euclids data. 333 the figure ilself can be described by the 18th prop, book 6, which,by the construction, is similar to D; and because D is to A, as(2 cor. 20. 6.) BC to CL, that is, as the figure BK to KL; and thatD is equal to BK, therefore A (14. 5.) is equal to KL, that is, to H. PROP. LXI. 57.…
Mathematics, Greek · Geometry · Trigonometry
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