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Article #151Cayley's theorem
From: Jean-Pierre Merlet
Date: Thu, 19 Nov 1992 08:23
Date: Thu, 19 Nov 1992 08:23
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979 bytes
I am looking for any reference on the following Cayley's theorem: "a line such that two points C and D on this line are constrained to lie on curves of degree nc, nd and of circularity pc, pd, the curves not lying in parallel planes, generates a ruled surface of degree nc(nd-pd)+nd(nc-pc)" I am especially interested in the exception case where the curves lie in parallel planes.
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arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!danShow Full Headers
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Newsgroups: sci.math.research Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!dan From: merlet@cygnusx1.inria.fr (Jean-Pierre Merlet) Subject: Cayley's theorem Message-ID: <34365@sophia.inria.fr> Originator: dan@symcom.math.uiuc.edu Sender: Daniel Grayson <dan@math.uiuc.edu> X-Submissions-To: sci-math-research@uiuc.edu Organization: INRIA, Sophia-Antipolis (Fr) X-Administrivia-To: sci-math-research-request@uiuc.edu Approved: Daniel Grayson <dan@math.uiuc.edu> Date: Thu, 19 Nov 1992 08:23:24 GMT Keywords: Cayley Lines: 10