Moulton Plane - Application

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:

    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 (1613–1680)

    I think that a young state, like a young virgin, should modestly stay at home, and wait the application of suitors for an alliance with her; and not run about offering her amity to all the world; and hazarding their refusal.... Our virgin is a jolly one; and tho at present not very rich, will in time be a great fortune, and where she has a favorable predisposition, it seems to me well worth cultivating.
    Benjamin Franklin (1706–1790)

    The application requisite to the duties of the office I hold [governor of Virginia] is so excessive, and the execution of them after all so imperfect, that I have determined to retire from it at the close of the present campaign.
    Thomas Jefferson (1743–1826)