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:
“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)
“Before the birth of the New Woman the country was not an intellectual desert, as she is apt to suppose. There were teachers of the highest grade, and libraries, and countless circles in our towns and villages of scholarly, leisurely folk, who loved books, and music, and Nature, and lived much apart with them. The mad craze for money, which clutches at our souls to-day as la grippe does at our bodies, was hardly known then.”
—Rebecca Harding Davis (1831–1910)
“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)