Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 216
d line OX. Draw the line APthrough A cutting OX at B, and on this line lay off aconstant distance BP(=b) both ways from B. Thelocus of P is called the conchoid of Nicomedes. To find its rectangular equation, take the fixed line Ch. XV, §104] HIGHER PLANE CURVES 199 OX as the X-axis, and OA as the… … The fixed point ^1 is called the pole, and the fixed line OX the directrix of the conchoid. If a < b, the curve has the form shown in Fig. 102. If a — 5, there is no loop, but the curve has a cusp at A. If a > 5, the lower branch of the curve cuts the F-axis in a single point above A.…
Geometry, Analytic
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