RE: How easy is it to solve geometry problems in Mathematica?
- To: mathgroup at smc.vnet.net
- Subject: [mg9597] RE: [mg9574] How easy is it to solve geometry problems in Mathematica?
- From: jmthomas <jmthomas at cybercable.tm.fr>
- Date: Thu, 13 Nov 1997 23:24:08 -0500
- Sender: owner-wri-mathgroup at wolfram.com
Computational geometry IS a big machine! If you need to find a line tangent to Curve1 which is an ellipse and Curve2 which is another ellipse, you can write a standard solution in let's say an hour. If you need to write a function taking any two curves as arguments, you are expecting too much. Start with an easy two dim problem: intersection of two lines: define your objects: a line is either a linear relation ax+by+c==0, or a pair of points p1={x1,y1} and p2={x2,y2}, or a point and a vector. When your procedure is written, and checked, you will have elements to your questions. ----------------------------------------------- Jean-Marie THOMAS Conseil et Audit en Ingnierie de Calcul jmthomas at cybercable.tm.fr www.cybercable.tm.fr/~jmthomas -----Original Message----- From: Maggie Eusebio Schock [SMTP:cjs19 at cornell.edu] To: mathgroup at smc.vnet.net Sent: Thursday, November 13, 1997 7:41 AM To: mathgroup at smc.vnet.net Subject: [mg9574] How easy is it to solve geometry problems in Mathematica? I would like to solve 2D geometry problems of this nature: Find a line tangent to two curves (curves such as ellipse, circle, circular arc, elliptical arc or splines) Find the intersection point between to curves. Is it fairly easy to solve these in Mathematica? I am considering purchasing Mathematica and would like to have your inputs. Thanks in advance.