Converse
The converse also holds: If the sum of the distances from an interior point of a triangle to the sides is independent of the location of the point, the triangle is equilateral.
Read more about this topic: Viviani's Theorem
Famous quotes containing the word converse:
“The eyes of men converse as much as their tongues, with the advantage that the ocular dialect needs no dictionary, but is understood all the world over.”
—Ralph Waldo Emerson (1803–1882)
“The American doctrinaire is the converse of the American demagogue, and, in this way, is scarcely less injurious to the public. The first deals in poetry, the last in cant. He is as much a visionary on one side, as the extreme theoretical democrat is a visionary on the other.”
—James Fenimore Cooper (1789–1851)
“There is a plain distinction to be made betwixt pleasure and happiness. For tho’ there can be no happiness without pleasure—yet the converse of the proposition will not hold true.—We are so made, that from the common gratifications of our appetites, and the impressions of a thousand objects, we snatch the one, like a transient gleam, without being suffered to taste the other.”
—Laurence Sterne (1713–1768)