General Polygons
If two geometric figures possess a homothetic center, they are similar to one another; in other words, they must have the same angles at corresponding points and differ only in their relative scaling. The homothetic center and the two figures need not lie in the same plane; they can be related by a projection from the homothetic center.
Homothetic centers may be external or internal. If the center is internal, the two geometric figures are scaled mirror images of one another; in technical language, they have opposite chirality. A clockwise angle in one figure would correspond to a counterclockwise angle in the other. Conversely, if the center is external, the two figures are directly similar to one another; their angles have the same sense.
Read more about this topic: Homothetic Center
Famous quotes containing the word general:
“If men would avoid that general language and general manner in which they strive to hide all that is peculiar and would say only what was uppermost in their own minds after their own individual manner, every man would be interesting.”
—Ralph Waldo Emerson (1803–1882)