Foundations of Geometry
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- Publication date
- 2021-12-20
- Topics
- librivox, audiobooks, geometry, axioms, nonfiction, mathematics, Euclid, Hilbert,
LibriVox recording of Foundations of Geometry by David Hilbert. (Translated by Edgar Jerome Townsend.)
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M4B Audiobook (148MB)
Read in English by Jim Wrenholt.
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 linking line segments and one linking angles.)
The original monograph in German was based on Hilbert's own lectures and was organized by himself for a memorial address given in 1899. This was quickly followed by a French translation with changes made by Hilbert; an authorized English translation was made by E.J. Townsend in 1902. This translation - from which this audiobook has been read - already incorporated the changes made in the French translation and so is considered to be a translation of the 2nd edition.
For more free audio books or to become a volunteer reader, visit librivox.org.
M4B Audiobook (148MB)
- Addeddate
- 2021-12-21 01:36:03
- Identifier
- foundations_of_geometry_2112_librivox
- Identifier-storj
- jvgvykk34cfeieyaadwpaft3cbyq/archive.org/foundations_of_geometry_2112_librivox
- Ocr
- tesseract 5.0.0-1-g862e: language not currently OCRable
- Ocr_autonomous
- true
- Ocr_module_version
- 0.0.14
- Ppi
- 600
- Run time
- 05:26:40
- Year
- 2021
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Reviews
Reviewer:
Greensboro Police in Catawba County
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May 12, 2022
Subject: '"Congruence... Congruence..." "Um, he's sick."'
Subject: '"Congruence... Congruence..." "Um, he's sick."'
The narrator makes Ben Stein sound like David Lee Roth aw
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34 - Proof of the two propositions concerning Pascal's theorem. Non-pascalian geometry download
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36 - Analytic representation of the co-ordinates of points which can be so constructed download
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37 - Geometrical constructions by means of a straight-edge and a transferer of segments download
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40 - Conclusion download
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41 - Appendix download
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34 - Proof of the two propositions concerning Pascal's theorem. Non-pascalian geometry download
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36 - Analytic representation of the co-ordinates of points which can be so constructed download
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37 - Geometrical constructions by means of a straight-edge and a transferer of segments download
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41 - Appendix download
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2.7M
34 - Proof of the two propositions concerning Pascal's theorem. Non-pascalian geometry download
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36 - Analytic representation of the co-ordinates of points which can be so constructed download
5.3M
37 - Geometrical constructions by means of a straight-edge and a transferer of segments download
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40 - Conclusion download
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41 - Appendix download
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