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)
“Sense is a line, the mind is a circle. Sense is like a line which is the flux of a point running out from itself, but intellect like a circle that keeps within itself.”
—Ralph J. Cudworth (1617–1688)
“Adults understandably assume that the level of verbal proficiency a five-year-old displays represents his level of proficiency in all areas of functioning—if he talks like an adult, he must think and feel like one. However, five-year-olds,... belie the promise of adult-like behavior with their child-like, impulsive actions.”
—Dorothy H. Cohen (20th century)