Exotomic
A point is said to be exotomic to a curve or surface if it lies outside of the curve or surface. In other words, the point does not intersect the curve or surface.
Endotomic
A point is said to be endotomic to a curve or surface if it lies inside of the curve or surface. In other words, the point intersects the curve or surface.
The terms exotomic and endotomic can also be used to describe the relationship between two curves or surfaces. Two curves or surfaces are said to be exotomic if they do not intersect, and they are said to be endotomic if they do intersect.
Here are some examples of exotomic and endotomic points and curves:
* The point (1, 2) is exotomic to the circle with center (0, 0) and radius 1.
* The point (0, 0) is endotomic to the circle with center (0, 0) and radius 1.
* The lines y = x and y = -x are exotomic.
* The lines y = x and y = x + 1 are endotomic.
The concepts of exotomic and endotomic points and curves are important in many areas of geometry, including differential geometry, topology, and algebraic geometry.
