Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 261
A. If c > «, both portions of the curve lie above A.If c = 0, the conchoid becomes a circle.To find the polar equation of the curve, let A be the pole, AY theinitial line, and P or P^ [p, 6).Then, /a = AP = AQ -]- QP - OA sec e -t- QP..-. p = c sec 6 -^ais t.ie equation required. 198. To trisect… … HIGHER PLANE CURVES 245 Draw LD _L to OX. Then AD cuts off a third of the givenangle BAG. Proof: Bisect DF in E. Then LE = ED = J OC = AL..-. Z LAE = Z LEA = 2 Z LDE = 2 Z DAC..-. ZDAC = JZBAC. 199. The lemniscate. — This curve is the locus of the footof a perpendicular from the center of a…
Geometry, Analytic
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