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Analytic geometry for colleges, universities, and technical schools (1892)

Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 214

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 214
om the curve, its co-ordinates stillsatisfy the equation. 154. To trisect an angle by the aid of the conchoid. Let PCX be the angle which we wish to trisect. Prom Cwith any radius as CD describe the semi-circle DAH. Fromthe point A draw AB 1 to CX and make OB = CD. WithA as a pole and OB as a… … Fig. 64. For join H and C; then from the nature of the conchoidHK = HC = OB.. From the figure PCX = CAK + CKA;but CAK = CHA = 2 CKA; hence PCX = 2 CKA + CKA. Therefore CKA = ^ PCX. We might have used the superior branch for the same pur-pose. 155. The Limacon.Y

Geometry, Analytic

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