martin@csd4.csd.uwm.edu (Martin A Miller) (11/22/89)
Help!
I am looking for an algorithm to map distance and angle calculations
into a 3D coordinate system..the picture is as follows:
A = (x1,y1,z1)
* .
| .
/ \ | . d1
| | .
| | <---- d4 ---> .
d3 |.......*........... * B = (x3,y3,z3)
| | X .
| | .
\ / | . d2
| .
* .
C = (x2,y2,z2)
What I need to find are the coordinates (x,y,z) of an arbitrary
point X on the bisector (BD) defined by an expression involving the
distances between points A,B,C (or angles between the points).
In a geometric sense, this is trivial, but I need to be able to
map the geometrical calculation into a point which exists in my
coordinate system (as do the points A,B, & C).
I have explored this question in computational geometry texts,
(eg., Computational Geometry : An Introduction, Preparata/Shamos,
etc..) but have been unable to resolve it. If anyone can provide
names of texts, papers, algorithms, or another newsgroup to
post this on, please let me know.
Thanks -mm
Email: Internet: martin@csd4.csd.uwm.edu
Smail: Martin Miller
Social Science Research Facility
University of Wisconsin - Milwaukee
P.O. Box 413
Milwaukee, WI 53201
Phone: (414) 229-5314
Disclaimer: I'm a programmer, not a mathematician..