In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides, in such a way as to maximise the number of areas created by the edges and diagonals, has a solution by an inductive method.
Read more about Dividing A Circle Into Areas: Lemma
Famous quotes containing the words dividing, circle and/or areas:
“If you stand right fronting and face to face to a fact, you will see the sun glimmer on both its surfaces, as if it were a cimeter, and feel its sweet edge dividing you through the heart and marrow, and so you will happily conclude your mortal career. Be it life or death, we crave only reality. If we are really dying, let us hear the rattle in our throats and feel cold in the extremities; if we are alive, let us go about our business.”
—Henry David Thoreau (1817–1862)
“Wise child, didst hastily return
And mad’st thy mother’s womb thine urn.
How summed a circle didst thou leave mankind
Of deepest lore, could we the center find!”
—Ben Jonson (1572–1637)
“... two great areas of deafness existed in the South: White Southerners had no ears to hear that which threatened their Dream. And colored Southerners had none to hear that which could reduce their anger.”
—Sarah Patton Boyle, U.S. civil rights activist and author. The Desegregated Heart, part 1, ch. 16 (1962)