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 152
let KLbe the homologous side to EG, and LM, to GF: and because EFis equal to C and KM together, EF is greater than KM; thereforethe straight line EG is greater than KL, and GF than LM: makeGX equal to LK, and GO equal to LM, and complete the paral-lelogram XGOP: therefore XO is equal and similar to… … 150 THE ELEMENTS OF EUCLID. BOOK VI. EF is equal to C and KM together, and XO a part of the one isequal to KM a part of the other, the remainder, viz. the gnomonERO, is equal to the remainder C: and because OR is equal (34.I.) to XS, Ijy adding SR to each, the whole OB is equal to thewhole XB: but…
Mathematics, Greek · Geometry · Trigonometry
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