Moritz Pasch was a German mathematician who worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. He was born in Breslau, Prussia (now Wrocław, Poland) on 8 November 1843 and died in Bad Homburg on 20 September 1930. His axiom about a line entering a triangle, now called Pasch's axiom, filled a gap in the logic of Euclid, and he was a pioneer of rigorous axiomatic geometry that Hilbert later perfected.
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Source Moritz Pasch, Biography (MacTutor History of Mathematics)
Source Moritz Pasch, Biography (MacTutor History of Mathematics)
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Source Pasch's theorem (Wikipedia)
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Source Moritz Pasch, Biography (MacTutor History of Mathematics)SummaryQuote, Summary
Moritz Pasch was a German mathematician who worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before.
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1. Moritz Pasch, Biography (MacTutor History of Mathematics)
SummaryQuote, Summary
Moritz Pasch was a German mathematician who worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before.
Pasch's theorem (Wikipedia)
Proofs Credited: Pasch's Theorem, LeadQuote, Proofs Credited: Pasch's Theorem, Lead
In geometry, Pasch's theorem, stated in 1882 by the German mathematician Moritz Pasch, is a result in plane geometry which cannot be derived from Euclid's postulates.
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