Re: WTD: point intersection in space

*To*: mathgroup at smc.vnet.net*Subject*: [mg48390] Re: [mg48363] WTD: point intersection in space*From*: John Browne <jbrowne at swin.edu.au>*Date*: Fri, 28 May 2004 00:50:19 -0400 (EDT)*References*: <200405251118.HAA03719@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Don, One way of approaching intersections is through Grassmann's regressive product. See Chapters 3 and 4 at http://www.ses.swin.edu.au/homes/browne/grassmannalgebra/book/ If you would like any specific formulas generated that you don't find here, please let me know. (However, I will be incommunicado from now until June 16) John On 25/05/2004, at 9:18 PM, Don Taylor wrote: > In n-dimensional euclidian space n (n-1)-dimensional objects > intersect at a unique point. For example, in 2-space 2 1-d > lines intersect in a point, in 3-space 3 2-d planes intersect > in a point. > > I'm trying to find the general pattern that solves for this > in n-space. At the moment I'd settle for seeing very similar > developments for 2-space and 3-space. Maybe from that I could > guess what this would look like for n-space. ____________________________ John Browne School of Engineering and Science Swinburne University of Technology Hawthorn, Victoria, Australia Quantica phone: +613 9431 4007 Quantica fax: +613 9431 0940 jbrowne at swin.edu.au

**References**:**WTD: point intersection in space***From:*dont@agora.rdrop.com (Don Taylor)