Converse
The converse of Thales' theorem is also valid; it states that a right triangle's hypotenuse is a diameter of its circumcircle.
Combining Thales' theorem with its converse we get that:
- The center of a triangle's circumcircle lies on one of the triangle's sides if and only if the triangle is a right triangle.
Read more about this topic: Thales' 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)
“It is said that desire is a product of the will, but the converse is in fact true: will is a product of desire.”
—Denis Diderot (1713–1784)
“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)