Photos of Interactive Mathematics Miscellany and Puzzles
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Dual Maxwell theorem. Let ABC be a triangle, and L be a line on the plane. Let L meets BC, CA, AB at A1, B1, C1. Let A'B'C' a triangle on the plane such that B'C', C'A', A'B' are parallel to AA1, BB1, CC1. Then show that three lines through A', B'. C' and parallel to BC,CA,AB meets B'C', C'A', A'B' respectively at three collinear points. |
