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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 122

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 122
touch one ano If it be poffible, let join the centres, and not pafs through a point of contact; then from a point ofcontact draw and to the centres. Becaufe and « and - + (B. 1. pr. 20.), = (B. 1. def. 15.), = (B. i.def.15.), + , a part greater than the whole, which is abfurd. The centres are not… … NE circle can-not touch ano-ther, eitherexternally or internally, in more points than one. FIGURE III. Fig. i. For, if it be poffible, let and f j touch one another internally in two points ;draw .... i. joining their cen-tres, and produce it until it pafsthrough one of the points of contadl (B. 3.…

Geometry

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