# The Foundations of Geometry

By David Hilbert.

"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. (Summary by Project Gutenberg, written by machine.)

- Language: English
- Translator: E. J. Townsend
- Subjects: Geometry -- Foundations

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## Audiobooks of it

- [Foundations of Geometry](https://invisiblenetwork.ai/books/librivox/14839) by David Hilbert (5 h 27 min, English)

From Project Gutenberg. Public domain in the United States.