The axioms of descriptive geometry, by A.N. Whitehead.
CONTENTS. PAGE CHAPTER I. Sect. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. FORMULATIONS OF THE AXIOMS. The Introduction of Order Undefined Ideas Peano's Axioms Definition of a Plane Axioms of a Plane Axioms of Three Dimensions Various Definitions Veblen's Axioms Dedekind's Axiom The Euclidean Axiom 1 2 3 4 4 5 6 7 9 10 CHAPTER II. Sect. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. THE ASSOCIATED PROJECTIVE SPACE. Convex Regions.. Convex Regions as Descriptive Spaces Existence Theorems. Further Existence Theorems Advantages of Ideal Points. A Lemma... Desargues' Perspective Theorems Trihedrons Theorem on Sheaves of Planes Theorem on Coplanarity of Lines 12 13 14 14 15 15 16 17 18 19 CHAPTER III. IDEAL POINTS. Sect. 21. 22. 23. 24. Definitions of Ideal Elements A Property of Ideal Points. A Property of Ideal Lines. Ideal Points and Lines 22 23 23 26
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About this Item
- Title
- The axioms of descriptive geometry, by A.N. Whitehead.
- Author
- Whitehead, Alfred North, 1861-1947.
- Canvas
- Page viewer.nopagenum
- Publication
- Cambridge,: University press,
- 1907.
- Subject terms
- Geometry, Descriptive
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https://name.umdl.umich.edu/abn2643.0001.001
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"The axioms of descriptive geometry, by A.N. Whitehead." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abn2643.0001.001. University of Michigan Library Digital Collections. Accessed June 18, 2025.