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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
##### Keywords:
Pohlke’s theorem; oblique axonometry
Full Text:
##### References:
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