Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
geom3d[polar] - find the polar of a given point with respect to a given sphere
Calling Sequence
polar(p, A, s)
Parameters
p
-
the name of the polar
A
point
s
sphere
Description
The polar of a point A with respect to a sphere is defined to be the locus of all points conjugate to A.
For a detailed description of the polar of p, use the routine detail.
The command with(geom3d,polar) allows the use of the abbreviated form of this command.
Examples
Write down the equations of the polars of the points (1,2,-1), (3,5,-2) and (0,1/2,-1/2) with respect to the sphere x^2+y^2+z^2- 3*x+y+z-5=0 and show that they form a pencil of planes.
The answers show that three planes p1, p2, and p3 form a pencil of planes.
See Also
geom3d[pole]
Download Help Document
