Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 215
. It has already been discussed on page 67. 198 ANALYTIC GEOMETRY [Ch. XV, § 103 103. The cissoid. — The cissoid may be defined asfollows : on any diameter OA of a circle, lay off equal dis-tances CM and CN on each side of the centre, and at thepoints M and N erect MK and NL perpendicular to the… … NL = VON- NA = V(2 a - x)x. From the similarity of the tri-angles OMP and ONL, OM: ON:: MP: NL, or x: : 2 a — x : : y : V(2 a — x): Fig. 101. Hence y1 = - za — x which is the rectangular equation of the cissoid. It isevidently symmetrical with respect to the X-axis, andhas the line x = 2a as an…
Geometry, Analytic
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