geom3d[inversion] - find the inversion of a point, plane, or sphere with respect to a given sphere.
|
Calling Sequence
|
|
inversion(Q, P, s)
|
|
Parameters
|
|
Q
|
-
|
the name of the object to be created
|
P
|
-
|
point, line, or sphere
|
s
|
-
|
sphere
|
|
|
|
|
Description
|
|
•
|
Sphere is called the sphere of inversion, point O the center of inversion, r the radius of inversion, and the power of inversion.
|
•
|
For a detailed description of Q the object created, use the routine detail (i.e., detail(Q))
|
•
|
The command with(geom3d,inversion) allows the use of the abbreviated form of this command.
|
|
|
Examples
|
|
>
|
|
Define the sphere s with center (0,0,0), radius 1
>
|
|
| (1) |
Define a plane passing through A, B, C
>
|
|
| (2) |
Find the inversion of the plane with respect to the sphere s
>
|
|
| (3) |
Sine the plane p does not pass through the center of inversion, its inversion is a sphere through the center of inversion.
Checking:
>
|
|
Warning, assume that the name of the axes are _x, _y and _z
| |
| (4) |
>
|
|
| (5) |
Plotting:
>
|
|
|
|
Download Help Document
Was this information helpful?