Pohlke's Theorem

The principal theorem of axonometry, first published without proof by Pohlke in 1860. It states that three segments of arbitrary length a^'x^', a^'y^', and a^'z^' which are drawn in a plane from a point a^' under arbitrary angles form a parallel projection of three equal segments ax, ay, and az from the origin of three perpendicular coordinate axes. However, only one of the segments or one of the angles may vanish.

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Schwarz, H. A. J. reine angew. Math. 63, 309-314, 1864.Steinhaus, H. Mathematical Snapshots, 3rd ed. New York: Dover, pp. 170-171, 1999.

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Pohlke's Theorem

Cite this as:

Weisstein, Eric W. "Pohlke's Theorem." From MathWorld--A Wolfram Web Resource.

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