Point Picking

In finding the average area A^__R of a triangle chosen from a closed, bounded, convex region R of the plane, then A^__(T(R))=A^__R, for T any nonsingular affine transformation of the plane.

See also

18-Point Problem, Ball Line Picking, Ball Triangle Picking, Cube Line Picking, Cube Point Picking, Cube Tetrahedron Picking, Cube Triangle Picking, Discrepancy Theorem, Disk Line Picking, Disk Point Picking, Disk Triangle Picking, Happy End Problem, Line Line Picking, Line Segment Picking, Line Point Picking, Planar Distance, Simplex Simplex Picking, Sphere Line Picking, Sphere Point Picking, Sphere Tetrahedron Picking, Sylvester's Four-Point Problem, Tetrahedron Picking, Triangle Picking, Triangle Point Picking

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Pfiefer, R. E. "The Historical Development of J. J. Sylvester's Four Point Problem." Math. Mag. 62, 309-317, 1989.

Referenced on Wolfram|Alpha

Point Picking

Cite this as:

Weisstein, Eric W. "Point Picking." From MathWorld--A Wolfram Web Resource.

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