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:
“What is a wife and what is a harlot? What is a church and what
Is a theatre? are they two and not one? can they exist separate?
Are not religion and politics the same thing? Brotherhood is religion,
O demonstrations of reason dividing families in cruelty and pride!”
—William Blake (1757–1827)
“It is a good lesson—though it may often be a hard one—for a man who has dreamed of literary fame, and of making for himself a rank among the world’s dignitaries by such means, to step aside out of the narrow circle in which his claims are recognized, and to find how utterly devoid of all significance, beyond that circle, is all that he achieves, and all he aims at.”
—Nathaniel Hawthorne (1804–1864)
“The ambiguous, gray areas of authority and responsibility between parents and teachers exacerbate the distrust between them. The distrust is further complicated by the fact that it is rarely articulated, but usually remains smoldering and silent.”
—Sara Lawrence Lightfoot (20th century)