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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 46

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 46
. 1.) the square AC B CDEB, and produce ED to F, andthrough A draw (31. 1.) AF parallel toCD or BE; then the rectangle AE isequal to the rectangles AD, CE; andAE is the rectangle contained by AB,BC, for it is contained by AB, BE, ofwhich BE is equal to BC; and AD iscontained by AC, CB, for CD is… … I 44 THE KLRMENTS OF EUCLID. BOOK II. therefore the rectangle AB, BC, is equal to the rectangle AC, CB,together with the square of BC. If therefore a straight line, Sec.Q. E. D. PROP. IV. THEOR. If a straight line be divided into any two parts, thesquare of the whole line is equal to the squares of…

Mathematics, Greek · Geometry · Trigonometry

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