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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 70

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 70
raw FBG perpendicular toDE; and because FGC is a right angle, GCF is (17. 1.) an acuteangle; and to the greater angle the greatest (19. 1.) side is oppo-site; therefore FC is greater than FGbut FC is equal to FB; therefore FB isgreater than FG, the less than the great-er, which is impossible;… … 68 THE ELEMENTS OF EUCLID. BOOK III. PROP. XIX. THEOR. If a straight line touch a circle, and from the pointof contact a straight line be drawn at right angles tothe touching line, the centre of the circle shall be inthat line. if possible; and join CF: be-A Let the straight line DE touch the…

Mathematics, Greek · Geometry · Trigonometry

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