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A proof of Pohlke’s theorem with an analytic determination of the reference trihedron. (English) Zbl 1415.51032
The author offers a linear algebra proof of Pohlke’s theorem (Given three arbitrary segments \(OP_1\), \(OP_2\), \(OP_3\) in a plane, not contained in a line, there is a cube, such that the parallel projection of three of its edges \(OQ_1\), \(OQ_2\), \(QQ_3\) is \(OP_1\), \(OP_2\), \(OP_3\)) and provides “explicit formulae for the reference trihedrons (Pohlke matrices) and the corresponding directions of projection.”

MSC:
51N10 Affine analytic geometry
51N05 Descriptive geometry
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References:
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