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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 65

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 65
if possible, as FCDG, andjoin FA, AG: and because F is the centre of the circle ABC, AFis equal to FC: also becauseG is the centre of the circleADE, AG is equal to GD: ,therefore FA, AG are equal /to FC, DG; wherefore the,whole FG is greater than \FA, AG: but it is also less \(20. 1.); which is… … BOOK III. THE ELEMENTS OF EUCLID. PROP. XIII. THEOR. One circle cannot touch another in more points thanone, whether it touches it on the inside or outside.* For, if it be possible, let the circle EBF touch the circle ABCin more points than one, and first on the inside, in the points B, D;join BD,…

Mathematics, Greek · Geometry · Trigonometry

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