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 81
, AE, D EC are equal (3. 3.) to one another:and because the straight line BD,is cutinto two equal parts in the point F, andinto two unequal in the point E, therectangle BE, ED together with thesquare of EF, is equal (5. 2.) to the .square of FB; that is, to the square ofFA; but the squares of AE,… … Sec Note. BOOK III. THE ELEMENTS OF EUCLID. 79 BE, ED is equal to the remaining square of AE; that is, to therectangle AE, EC. Nex-t, let BD, which passes through the centre, cut the otherAC, which does not pass through the centre, in E, but not at rightangles: then, as before, if BD be bisected in…
Mathematics, Greek · Geometry · Trigonometry
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