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 328
e ; therefore the rectangle DC x C E is equal to the rectangleG C x CP, and therefore the rectangle G C x C P is equal to thesquare of the radius. Hence the point G is independent of the pointD, and a perpendicular from any point of the locus will meet C Pproduced at the same point G. Hence to… … 310 APPENDIX. The nearer the given point P is to the centre, the more remotewill be the locus G D, and when P coincides with the centre, C Gwill become infinite, so that in this case the locus may be considereda right line at an infinite distance. There will be no difficulty in establishing the…
Geometry
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