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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 72

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 72
the segment BAED be not greater than a semicircle, letBAD, BED be angles in it; these also ~ are equal to one another: draw AF tothe centre, and produce it to C, and joinCE: therefore the segment BADC isgreater than a semicircle; and the an-gles in it, BAC, BEC are equal, by thefirst case; for the… … PROP. XXII. THEOR. The opposite angles of any quadrilateral figuredescribed in a circle, are together equal to two right angles. * See Note.

Mathematics, Greek · Geometry · Trigonometry

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