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 372
D, so is GB to BD: and the ratio of GB to BD is given:therefore the ratio of the excess of BA, AG to AD is given. And because the angle GBG is equal to the alternate angleDEB, and the angle BGG equal to BDE; the triangle BGG isequiangular to BDE: therefore as GG to GB, so is BD to DE;and… … 370 Euclids data. £ PROP. XCIX. 95. If from a given point in the diameter of a circlegiven in position, or in the diameter produced, astraight hne be drawn to any point in the circumfe-rence, and from that point a straight hne be drawn atright angles to the first, and from the point in whichthis…
Mathematics, Greek · Geometry · Trigonometry
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