Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 260
from the equation of the cissoicl, we have,OG OG Draw AK, GW = GA iGH .-. GH^ = 2 OG^ Xow, let c be the edge of any given cube, and let c^ berequired such that c/ = 2 c^. To this end, take c^ so that OG : GH :: c : qor OG:GH::c^:q^ But GH = 2 0Gl Hence, q is the edge of a cube whose volume is… … Fig. 136. * Invented by Nicomedes, a Greek geometer of the second centuryB.C., for the purpose of duplicating the cube. It is, however, moreeasily applicable to the trisection of a given angle, which was also afamous problem of the ancients. 244 ANALYTICAL GEOMETRY and OX a iixed line. A straiglit…
Geometry, Analytic
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