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The first six books of the Elements of Euclid, in which coloured diagrams and symbols are used instead of letters .. (1847)

Euclid, Byrne, Oliver · London, W. Pickering · leaf 134

An illustration from The first six books of the Elements of Euclid, in which coloured diagrams and symbols are used instead of letters .., 1847, leaf 134 — (B. 3. pr. 18.) = 1 1, a right angle; but ^^ = I 1 (hyp.), and ,\ = a part equal to the whole, which is abfurd. Therefore the arTumed point is not the centre; and inthe fame manner it can be demonftrated, that no otherpoint without m^mm^m is the centre. Q. E. D. 102 BOOK III. PROP. XX. THEOR.… … HE angle at the centre of a circle, is doublethe angle at the circumference, when theyhave the fame part of the circumference fortheir bafe. FIGURE I.Let the centre of the circle be on ■ ..... a fide of Becaufe k = \ But

Geometry

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