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:
“A curtain of wax dividing them from the bride flight,
The upflight of the murderess into a heaven that loves her.”
—Sylvia Plath (1932–1963)
“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)
“Helping children at a level of genuine intellectual inquiry takes imagination on the part of the adult. Even more, it takes the courage to become a resource in unfamiliar areas of knowledge and in ones for which one has no taste. But parents, no less than teachers, must respect a child’s mind and not exploit it for their own vanity or ambition, or to soothe their own anxiety.”
—Dorothy H. Cohen (20th century)