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Plane and solid analytic geometry; an elementary textbook (1905)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 216

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 216
a from a fixed line OX. Draw the line APtil rough A cutting OX at B^ and on this line lay off aconstant distance BP(^=h^ l)oth ways from B. Thelocus of P is called the conchoid of Nicomedes. To find its rectangular equation, take the fi,xed line Ch. XV, § 104] HIGHER PLA^E CURVES 199 OX as the… … The fixed point A is called the pole, and the fixed line OX the directrix of the conchoid. If a < 5, the curve has the form shown in Fig. 102. If a = h, there is no loop, but the curVe has a cusp at A. li a> 5, the lower branch of the curve cuts the F-axis in a single point above A.…

Geometry, Analytic

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