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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 93

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 93
uble of CFL;therefore the angle KFC is equal tothe angle CFL; and the right angleFCK is equal to the right angle FCL:therefore, in the two triangles FKC,FLC, there are two angles of oneequal to two angles of the other, eachto each, and the side FC, v/hich isadjacent to the equal angles in each,is… … BOOK IV. THE ELEMENTS OF EUCLID. 91 angle FLC: and because KG is equal to CL, KL is double of KC:in the same manner, it may be shown that HK is double of BK:and because BK is equal to KC, as was demonstrated, and thatKL is double of KC, and HK double of BK, HK shall be equal toKL: in like manner,…

Mathematics, Greek · Geometry · Trigonometry

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