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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 78

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 78
the less segment ADC falls within the right angleCAF. And this is all that is meant, when in the Greek text,and the translations from it, the angle of the greater segment issaid to be greater, and the angle of the less segment is said to beless, than a right angle. Cor. From this it is manifest,… … 76 THE ELEMENTS OF EUCLID. BOOK III. PROP. XXXII. THEOR. If a straight line touch a circle, and from the pointof contact a straight line be drawn cutting the circle,the angles made by this line with the line touching thecircle, shall be equal to the angles which are in the al-ternate segments of…

Mathematics, Greek · Geometry · Trigonometry

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