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 52
E. AAnd because EC is equal toCA, the square of EC is equalto the square of CA; thereforethe squares of EC, CA are dou-ble of the square of CA: but the square of EA is equal (47. 1,) tothe squares of EC, CA; therefore the square of EA is double of thesquare of AC: again, because GF is equal to FE,… … 50 THii ELEMENTS OF EUCLID. BOOK 11 EG is double of the square of EF: and EF is equal to CD5wherefore the square of EG is double of the square of CD: butit was demonstrated, that the square of EA is double of thesquare of AC; therefore the squares of AE, EG are double ofthe squares of AC, CD: and…
Mathematics, Greek · Geometry · Trigonometry
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