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

# Pohlke's Theorem

## See also

Axonometry## Explore with Wolfram|Alpha

## References

Schwarz, H. A.*J. reine angew. Math.*

**63**, 309-314, 1864.Steinhaus, H.

*Mathematical Snapshots, 3rd ed.*New York: Dover, pp. 170-171, 1999.

## Referenced on Wolfram|Alpha

Pohlke's Theorem## Cite this as:

Weisstein, Eric W. "Pohlke's Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PohlkesTheorem.html