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- W644991617 abstract "0. The Question of Parallels. 1. Five Examples. 2. Some Logic. 3. Practice Proofs. 4. Set Terminology and Sets of Real Numbers. 5. An Axiom System for Plane Geometry: First Steps. 6. Betweenness, Segments and Rays. 7. Three Axioms for the Line. 8. The Real Ray Axiom and Its Consequences. 9. Antipodes and Opposite Rays. 10. Separation. 11. Pencils and Angles. 12. The Crossbar Theorem. 13. Side-Angle-Side. 14. Perpendiculars. 15. The Exterior Angle Inequality and Triangle Inequality. 16. Further Results on Triangles. 17. Parallels and the Diameter of the Plane. 18. Angle Sums of Triangles. 19. Parallels and Angle Sums. 20. Concurrence. 21. Circles. 22. Similarity. Appendix I. Definitions and Assumptions from Book I of Euclid's Elements. Appendix II. The Side-Angle-Side Axiom in the Hyperbolic Plane. Bibliography. Index." @default.
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- W644991617 date "1999-03-01" @default.
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- W644991617 title "Foundations of Plane Geometry" @default.
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