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:
“While you are divided from us by geographical lines, which are imaginary, and by a language which is not the same, you have not come to an alien people or land. In the realm of the heart, in the domain of the mind, there are no geographical lines dividing the nations.”
—Anna Howard Shaw (1847–1919)
“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)