Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 214
ence [(.r - ^)2 + /] [(x- + ^j^ + /-] = ^»S or (^2 + ?/2 ^ ^.2j2 _ 4 ^2^.2^ ^^4 is the equation of the Cassinian ovaL The intercepts of the curve on the axes are ± Vc- ± m^and ± Vm^ — c^. Hence if c < m^ the curve cuts each axisin two real points and has the form sliown in Fig. 99.While if… … goes through the origin. In this case the equation re-duces to 2;2 + ^2 _ 2 c\x^ - ?/2), or in polar coordinates, p2 = 2 c2 cos 2 (9. This special form of the Cassinian oval is called thelemniscate. It has already been discussed on page 67. 198 ANALYTIC GEOMETRY [Cii. XV, § 103 103. The cissoid. —…
Geometry, Analytic
Internet Archive · Boston Library Consortium · Public Domain Mark 1.0. Free to use for anything.
