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Journal for Geometry and Graphics 22 (2018), No. 2, 195--205
Copyright Heldermann Verlag 2018

A Proof of Pohlke's Theorem with an Analytic Determination of the Reference Trihedron

Renato Manfrin
Dipartimento di Culture del Progetto, UniversitÓ IUAV, Dorsoduro 2196, 30123 Venezia, Italy

By elementary arguments of linear algebra and vector algebra we give here a proof of Pohlke's fundamental theorem on oblique axonometry. We also present explicit formulae for the reference trihedrons (Pohlke matrices) and the corresponding directions of projection.

Keywords: Pohlke's theorem, oblique axonometry.

MSC: 51N10; 51N05

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