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:
“When a man and a woman have an overwhelming passion for each other, it seems to me, in spite of such obstacles dividing them as parents or husband, that they belong to each other in the name of Nature, and are lovers by Divine right, in spite of human convention or the laws.”
—Sébastien-Roch Nicolas De Chamfort (1741–1794)
“It was my heaven’s extremest sphere,
The pale which held that lovely deer;
My joy, my grief, my hope, my love,
Did all within this circle move!”
—Edmund Waller (1606–1687)
“If a walker is indeed an individualist there is nowhere he can’t go at dawn and not many places he can’t go at noon. But just as it demeans life to live alongside a great river you can no longer swim in or drink from, to be crowded into safer areas and hours takes much of the gloss off walking—one sport you shouldn’t have to reserve a time and a court for.”
—Edward Hoagland (b. 1932)