Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxt!houxm!whuxl!whuxlm!akgua!gatech!seismo!mcvax!ukc!iau From: iau@ukc.UUCP Newsgroups: net.math Subject: moRe: Conic sections (new problem) Message-ID: <660@eagle.ukc.ac.uk> Date: Fri, 31-Jan-86 07:22:07 EST Article-I.D.: eagle.660 Posted: Fri Jan 31 07:22:07 1986 Date-Received: Sun, 2-Feb-86 01:01:54 EST References: <1165@homxb.UUCP> <557@well.UUCP> <532@well.UUCP> <11591@ucbvax.BERKELEY.EDU> Reply-To: iau@ukc.UUCP (Ian Utting) Organization: U of Kent at Canterbury, Canterbury, UK Lines: 17 Keywords: Xpath: ukc eagle Having seen half a dozen replies to the original posting, all giving information I found in Analytical Geometry textbooks going back 150 years, I thought I'd try a slight change of direction. So: Does anyone know (or know where to find) expressions for the coefficients of the (oft quoted) general second order equation in terms of the radii ($r_{major},r_{minor}$), center ($x_c,y_c$) and rotation ($theta$) of a circle or ellipse (I'm not interested in the other conics). I've found/discovered/guessed the forms with center and radii, but when I try to add rotation, I'm stumped. I'd tell you why I'm interested in this, but given the recent flames about what should (or shouldn't) be in this group, I don't think you'd want to know. Ian Utting iau@ukc.uucp (From the above, you'll have guessed that I'm no mathematician).