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:
“For winter’s rains and ruins are over,
And all the seasons of snows and sins;
The days dividing lover and lover,
The light that loses, the night that wins;
And time remembered is grief forgotten,
And frosts are slain and flowers begotten,
And in green underwood and cover
Blossom by blossom the spring begins.”
—A.C. (Algernon Charles)
“A circle swoop, and a quick parabola under the bridge arches
Where light pushes through;
A sudden turning upon itself of a thing in the air.
A dip to the water.”
—D.H. (David Herbert)
“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)