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:
“Lately in converse with a New York alec
About the new school of the pseudo-phallic ...”
—Robert Frost (1874–1963)
“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)
“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)