Mohr–Mascheroni theorem

In mathematics, the Mohr–Mascheroni theorem states that any geometric construction that can be performed by a compass and straightedge can be performed by a compass alone. The result was originally published by Georg Mohr in 1672,^[1] but his proof languished in obscurity until 1928.^[2][3] The theorem was independently discovered by Lorenzo Mascheroni in 1797.^[4]

See also

• Poncelet–Steiner theorem
• Napoleon's problem

Notes

1. ^ Georg Mohr, Euclides Danicus (Amsterdam: Jacob van Velsen, 1672).
2. ^ Hjelmslev, J. (1928) "Om et af den danske matematiker Georg Mohr udgivet skrift Euclides Danicus, udkommet i Amsterdam i 1672" [Of a memoir Euclides Danicus published by the Danish mathematician Georg Mohr in 1672 in Amsterdam], Matematisk Tidsskrift B , pages 1-7.
3. ^ Schogt, J. H. (1938) "Om Georg Mohr's Euclides Danicus," Matematisk Tidsskrift A , pages 34-36.
4. ^ Lorenzo Mascheroni, La Geometria del Compasso (Pavia: Pietro Galeazzi, 1797).

External links

• Construction with the Compass Only
• A short elementary proof of the Mohr-Mascheroni Theorem

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