Foundations of Geometry
By David Hilbert · Running time 05:26:40 · Mathematics
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About this book
The German mathematician David Hilbert was one of the most influential mathematicians of the 19th/early 20th century. Hilbert's 20 axioms were first proposed by him in 1899 in his book Grundlagen der Geometrie as the foundation for a modern treatment of Euclidean geometry. Hilbert's axiom system is constructed with six primitive notions: the three primitive terms point, line , and plane , and the three primitive relations Betweenness (a ternary relation linking points), Lies on (or Containment, three binary relations between the primitive terms), and Congruence (two binary relations, one linki
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