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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
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.… … .*. if be added to both, + butand .*. + + which is abfurd. (B. 1. def. 15.), = —— ; but— (B. 1. pr. 20.), BOOK III. PROP. XIII. THEOR. ot Fig. 2. But if the points of contact be the extremitiesof the right line joining the centres, this ftraight line mullbe bifedled in two different points for the…

Geometry

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