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 Anglo-American can indeed cut down, and grub up all this waving forest, and make a stump speech, and vote for Buchanan on its ruins, but he cannot converse with the spirit of the tree he fells, he cannot read the poetry and mythology which retire as he advances. He ignorantly erases mythological tablets in order to print his handbills and town-meeting warrants on them.”
—Henry David Thoreau (1817–1862)
“I lately met with an old volume from a London bookshop, containing the Greek Minor Poets, and it was a pleasure to read once more only the words Orpheus, Linus, Musæus,—those faint poetic sounds and echoes of a name, dying away on the ears of us modern men; and those hardly more substantial sounds, Mimnermus, Ibycus, Alcæus, Stesichorus, Menander. They lived not in vain. We can converse with these bodiless fames without reserve or personality.”
—Henry David Thoreau (1817–1862)
“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)