Circles
Circles are geometrically similar to one another and mirror symmetric. Hence, a pair of circles has both types of homothetic centers, internal and external, unless the centers are equal or the radii are equal; these exceptional cases are treated after general position. These two homothetic centers lie on the line joining the centers of the two given circles, which is called the line of centers (Figure 3). Circles with radius zero can also be included (see exceptional cases), and negative radius can also be used, switching external and internal.
Read more about this topic: Homothetic Center
Famous quotes containing the word circles:
“The [Loyal] legion has taken the place of the club—the famous Cincinnati Literary Club—in my affections.... The military circles are interested in the same things with myself, and so we endure, if not enjoy, each other.”
—Rutherford Birchard Hayes (1822–1893)
“By the power elite, we refer to those political, economic, and military circles which as an intricate set of overlapping cliques share decisions having at least national consequences. In so far as national events are decided, the power elite are those who decide them.”
—C. Wright Mills (1916–1962)
“The whole force of the respectable circles to which I belonged, that respectable circle which knew as I did not the value of security won, the slender chance of replacing it if lost or abandoned, was against me ...”
—Ida M. Tarbell (1857–1944)