The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)
Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 323
heangle A E C under the given lines, and is therefore given in position,and therefore the point G where it intersects P G is given. Hencethe centre G and the radius G P of the required circle are given, andtherefore the circle itself is given. To solve the problem, draw E P, and also E G bisecting… … APPENDIX T. 305 This circle will touch the right lines. The demonstration described.is obvious. It is evident, that in each of the preceding cases there may be twocircles drawn, which will solve the problem. This circumstance arisesfrom the line P P meeting the circle B P in two points. The…
Geometry
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