Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 215
It has already been discussed on page 67. 198 ANALYTIC GEOMETRY [Cii. 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 CJV on each side of the centre, and at thepoints 31 and N erect MK and NL perpendicular to the… … WL = VON NA = V(2 a - x)x. From the similarity of the tri-angles OMP and ONL, OM.ON..MP:NL, 2 a — x: : y : V( 2a — x)x. or X: ,3 Fig. 101. Hence y^ = ^ 2 a — 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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