Table of Contents
Advertisement
Inverse
The Inverse tool constructs an inverse point with respect to a circle and a point, according to the
equation OM ¦ O M' = r
where:
M and M' are points that lie on a ray with endpoint O.
O
M
M'
*
As the selected point approaches the center point, the inverse point approaches a point at infinity.
If M is defined to be on a line passing through the circle, the locus of M' constructs a circle that
passes through the center of the circle.
If the original point lies in the interior of the circle, the inverse point is constructed in the exterior,
and vice versa. The inverse point lies on a ray with the center point as the endpoint.
Creating an inverse point
1.
Select Inverse from the Transform toolbox.
2.
Create or select a point as the original point.
3.
Select a circle.
Modifying an inverse point
Move an inverse point by dragging the point or modifying
the circle that defines it. You cannot manipulate an
inverse point directly because it is a dependent point.
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
²
=
center of circle.
=
selected point.
=
inverse point.
=
radius of selected circle.
Select a point.
Select a circle.
This circle
An inverse point is created.
Chapter 8: Using the Transform Toolbox
This point
8-7
Advertisement
Table of Contents
