Affine Plane (incidence Geometry) - Affine Spaces

Affine Spaces

Affine spaces can be defined in an analogous manner to the construction of affine planes from projective planes. It is also possible to provide a system of axioms for the higher dimensional affine spaces which does not refer to the corresponding projective space.

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Famous quotes containing the word spaces:

    When I consider the short duration of my life, swallowed up in the eternity before and after, the little space which I fill and even can see, engulfed in the infinite immensity of spaces of which I am ignorant and which know me not, I am frightened and am astonished at being here rather than there. For there is no reason why here rather than there, why now rather than then.
    Blaise Pascal (1623–1662)