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:
“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)
“Think of the wonderful circles in which our whole being moves and from which we cannot escape no matter how we try. The circler circles in these circles....”
—E.T.A.W. (Ernst Theodor Amadeus Wilhelm)
“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)