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:
“Were you to converse with a king, you ought to be as easy and unembarrassed as with your own valet-de chambre; but yet every look, word, and action should imply the utmost respect.... You must wait till you are spoken to; you must receive, not give, the subject of conversation, and you must even take care that the given subject of such conversation do not lead you into any impropriety.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“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)
“Whilst we converse with what is above us, we do not grow old, but grow young.”
—Ralph Waldo Emerson (1803–1882)