A Full Axiomatic Development of High School Geometry
This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that forms the standard content of high school geometry. It begins with a set of points, a measure of distance between pairs of points and ten simple axioms. From there the notions of le...
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| Main Authors: | , |
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| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Edición: | 1st ed. 2023. |
| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/978-3-031-23525-2 |
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Table of Contents:
- Foundational Principles
- Neutral Geometry
- Similar Figures
- Area Measure
- Angle Measure
- Trigonometry
- Circle Measure
- Consistency and Models
- Appendix A: Axioms
- Appendix B: MCL #9
- Appendix C: Font Guide
- Appendix D: Theorem Index
- Appendix E: Notation Index
- Bibliography
- Index. .