Application
The Moulton plane is an affine plane in which Desargues' theorem does not hold. The associated projective plane is consequently non-desarguesian as well. This means that there are projective planes not isomorphic to for any (skew) field F. Here is the projective plane determined by a 3-dimensional vector space.
Read more about this topic: Moulton Plane
Famous quotes containing the word application:
“Five oclock tea is a phrase our rude forefathers, even of the last generation, would scarcely have understood, so completely is it a thing of to-day; and yet, so rapid is the March of the Mind, it has already risen into a national institution, and rivals, in its universal application to all ranks and ages, and as a specific for all the ills that flesh is heir to, the glorious Magna Charta.”
—Lewis Carroll [Charles Lutwidge Dodgson] (18321898)
“My business is stanching blood and feeding fainting men; my post the open field between the bullet and the hospital. I sometimes discuss the application of a compress or a wisp of hay under a broken limb, but not the bearing and merits of a political movement. I make gruelnot speeches; I write letters home for wounded soldiers, not political addresses.”
—Clara Barton (18211912)
“There are very few things impossible in themselves; and we do not want means to conquer difficulties so much as application and resolution in the use of means.”
—François, Duc De La Rochefoucauld (16131680)