Talk:Cassini oval

Merge
I think this page and the page on the Cassinoide might be merged. Comments? Gene Ward Smith 05:03, 15 May 2006 (UTC)


 * Support. Because there have been no objections, I will merge them after supper. Seahen Neon Merlin  21:35, 3 July 2006 (UTC)


 * Done. (Note that the c of the other article is the b of this article.) Seahen Neon Merlin  02:18, 4 July 2006 (UTC)

1 < b2 < 2?
I'd really like to see some ovals added to the diagram for which 1 < b2 < 2. My suspicion, looking at the curves for 1 and 2, is that these would be peanut-shaped and that the curve is convex iff b2 ≥ 2. Seahen Neon Merlin  21:33, 3 July 2006 (UTC)


 * I was wondering that myself. By playing around a bit with Wolfram Alpha, I seem to have established that b2 = 2a2 is indeed the critical case.  But I'm yet to find a source to back the claim and thereby put it in as anything but OR. -- Smjg (talk) 02:13, 1 February 2011 (UTC)

relation to torus?
is the intersection curve of a torus and a plane a cassini oval? would suggest at least a link to http://en.wikipedia.org/wiki/Toric_section —Preceding unsigned comment added by 128.214.3.55 (talk) 12:15, 22 March 2010 (UTC)

quartic
It might be worth mentioning in the lede that these are quartics. Tkuvho (talk) 17:42, 29 December 2011 (UTC)
 * Done.--RDBury (talk) 19:08, 29 December 2011 (UTC)