The Flat Projective Plane
In the projective plane P2, a point x is represented by the homogeneous coordinate (x1, x2, x3). If we think of (x1, x2, x3) as a point in real space R3 with the third value of the homogeneous coordinate as a value in the z direction, then P2 can be visualized as R3.
Read more about this topic: Real Projective Plane
Famous quotes containing the words flat and/or plane:
“It would astonish if not amuse, the older citizens of your County who twelve years ago knew me a stranger, friendless, uneducated, penniless boy, working on a flat boat—at ten dollars per month to learn that I have been put down here as the candidate of pride, wealth, and aristocratic family distinction.”
—Abraham Lincoln (1809–1865)
“In time the scouring of wind and rain will wear down the ranges and plane off the region until it has the drab monotony of the older deserts. In the meantime—a two-million-year meantime—travelers may enjoy the cruel beauties of a desert in its youth,....”
—For the State of California, U.S. public relief program (1935-1943)