In Euclidean geometry, the Mohr-Mascheroni theorem states that any geometric construction that can be performed with a compass and straightedge can also be performed using a compass alone, with no straightedge. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Statement FormCharacterization Theorem 1 Connections
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Source Mohr-Mascheroni theorem (Wikipedia)
Principal Result Of
Source Georg Mohr (MacTutor)
Source Lorenzo Mascheroni (MacTutor)
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1. Mohr-Mascheroni theorem (Wikipedia)
Lead section
In Euclidean geometry, 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.
- In Branch: Geometry, Lead sentence
View the Source2. Mohr-Mascheroni theorem (Wikipedia)
Lorenzo Mascheroni (MacTutor)
Principal Result Of: Lorenzo Mascheroni, Biography, Geometria del compassoQuote, Principal Result Of: Lorenzo Mascheroni, Biography, Geometria del compasso
In this work Mascheroni proved that all Euclidean constructions can be made with compasses alone, so a straight edge in not needed.
Georg Mohr (MacTutor)
Principal Result Of: Georg Mohr, Biography, MascheroniQuote, Principal Result Of: Georg Mohr, Biography, Mascheroni
did not prove this until 125 years after Mohr's book was published
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