Euclidean plane and its relatives; a minimalist introduction
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2013
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909676056084480 |
|---|---|
| author | Petrunin, Anton |
| author_facet | Petrunin, Anton |
| contents | The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist.
List of topics:
Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Similar triangles / Parallel lines / Triangle geometry.
Inversive geometry: Inscribed angles / Inversion.
Non-Euclidean geometry: Neutral plane / Hyperbolic plane / Geometry of h-plane.
Additional topics: Affine geometry / Projective geometry / Spherical insights / Projective model / Complex coordinates / Geometric constructions / Area. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1302_1630 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Euclidean plane and its relatives; a minimalist introduction Petrunin, Anton History and Overview Metric Geometry 51-01, 51M10, 51M05 The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist. List of topics: Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Similar triangles / Parallel lines / Triangle geometry. Inversive geometry: Inscribed angles / Inversion. Non-Euclidean geometry: Neutral plane / Hyperbolic plane / Geometry of h-plane. Additional topics: Affine geometry / Projective geometry / Spherical insights / Projective model / Complex coordinates / Geometric constructions / Area. |
| title | Euclidean plane and its relatives; a minimalist introduction |
| topic | History and Overview Metric Geometry 51-01, 51M10, 51M05 |
| url | https://arxiv.org/abs/1302.1630 |