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:
“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)
“There are some circles in America where it seems to be more socially acceptable to carry a hand-gun than a packet of cigarettes.”
—Katharine Whitehorn (b. 1926)
“And why do you cry, my dear, why do you cry?
It is all in the whirling circles of time.
If millions are born millions must die,”
—Robinson Jeffers (1887–1962)