The Foundations of Geometry
Hilbert, David, 1862-1943
The Foundations of Geometry - 1 online resource : multiple file formats
Wikipedia page about this book: https://en.wikipedia.org/wiki/Hilbert%27s_axioms Release date is 2005-12-23
Joshua Hutchinson, Roger Frank, David Starner and the Online Distributed Proofreading Team at http://www.pgdp.net. Revised by Richard Tonsing. Joshua Hutchinson, Roger Frank, David Starner and the Online Distributed Proofreading Team at http://www.pgdp.net. Revised by Richard Tonsing.
"The Foundations of Geometry" by David Hilbert is a mathematical treatise published in 1899. Hilbert proposes a rigorous axiom system to rebuild Euclidean geometry from the ground up, using twenty carefully constructed assumptions. Starting with six primitive concepts—points, lines, planes, and their fundamental relationships—he systematically establishes how geometric truths can be derived through pure logic. The work revolutionizes mathematical thinking by demonstrating how geometry can be constructed from basic principles without relying on intuition or visual representation. (This is an automatically generated summary.)
Geometry -- Foundations
QA
The Foundations of Geometry - 1 online resource : multiple file formats
Wikipedia page about this book: https://en.wikipedia.org/wiki/Hilbert%27s_axioms Release date is 2005-12-23
Joshua Hutchinson, Roger Frank, David Starner and the Online Distributed Proofreading Team at http://www.pgdp.net. Revised by Richard Tonsing. Joshua Hutchinson, Roger Frank, David Starner and the Online Distributed Proofreading Team at http://www.pgdp.net. Revised by Richard Tonsing.
"The Foundations of Geometry" by David Hilbert is a mathematical treatise published in 1899. Hilbert proposes a rigorous axiom system to rebuild Euclidean geometry from the ground up, using twenty carefully constructed assumptions. Starting with six primitive concepts—points, lines, planes, and their fundamental relationships—he systematically establishes how geometric truths can be derived through pure logic. The work revolutionizes mathematical thinking by demonstrating how geometry can be constructed from basic principles without relying on intuition or visual representation. (This is an automatically generated summary.)
Geometry -- Foundations
QA