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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 91

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 91
of BD; and because fromthe point B without the circleACD two straight lines BCA, BDare drawn to the circumference,one of which cuts, and the othermeets the circle, and that the rect-angle AB, BC contained by thewhole of the cutting line, and thepart of it without the circle isequal to the square of… … B D BOOK IV. THE ELEMENTS OF EUCLID. 89 in the alternate segment of the circle; to each of these add theangle CD A: therefore the whole angle BDA is equal to the twoangles CD A, DAC; but the exterior angle BCD is equal (32. 1.)to the angles CDA, DAC: therefore also BDA is equal to BCD;but BDA is…

Mathematics, Greek · Geometry · Trigonometry

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