Axiomatic geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Reading, Mass.
Addison-Wesley
1971
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| Series: | Addison-Wesley series in mathematics education.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII,184 S.m.Abb. |
Staff View
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Record in the Search Index
| _version_ | 1804119878762758144 |
|---|---|
| adam_text | Contents
Chapter 0 Preliminaries
0.1 Sets, functions, relations 1
0.2 Cardinality 6
0.3 Groups, fields, vector spaces 9
Part I LINEAR GEOMETRY. AFFIIME AND PROJECTIVE PLANES
Chapter 1 An Elementary Geometry
1.1 Introduction 17
1.2 Linear spaces 22
1.3 Isomorphisms. Collineations 28
Chapter 2 Projective and Affine Planes
2.1 Projective planes 35
2.2 Basic properties of a projective plane 41
2.3 Affine planes 46
2.4 Projective spaces 53
Chapter 3 Collineations of Affine and Projective Planes
3.1 Collineations of affine planes 60
3.2 The affine plane over a field 68
3.3 Collineations of projective planes 77
3.4 Collineations and the Theorem of Desargues 82
vii
Chapter 4 Some Algebraic Implications of Geometry
4.1 Coordinatizing the affine plane 92
4.2 More algebra of the affine plane 98
Part II EUCLIDEAN GEOMETRY FROM THE SYNTHETIC VIEWPOINT
Chapter 5 Introduction. The Axioms of Order
5.1 A history of Euclidean geometry 109
5.2 New approaches to an old subject 114
5.3 The axioms of order 119
5.4 Some properties of lines 126
Chapter 6 Properties of the Plane. Congruence
6.1 Triangles and planes 134
6.2 Some topology of the plane 139
6.3 Angles. More topology of the plane 144
6.4 Congruence of pairs of points 150
6.5 Congruence of angles 154
Chapter 7 Circles. Perpendicular and Parallel Lines. Length
7.1 Circles 160
7.2 Perpendicular lines 166
7.3 Parallel lines 170
7.4 Distance and length 176
viii Contents
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| indexdate | 2024-07-09T16:33:12Z |
| institution | BVB |
| language | English |
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| publishDate | 1971 |
| publishDateSearch | 1971 |
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| publisher | Addison-Wesley |
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| series2 | Addison-Wesley series in mathematics education. |
| spelling | Gemignani, Michael C. Verfasser aut Axiomatic geometry Michael C. Gemignani Reading, Mass. Addison-Wesley 1971 VIII,184 S.m.Abb. txt rdacontent n rdamedia nc rdacarrier Addison-Wesley series in mathematics education. Geometrie (DE-588)4020236-7 gnd rswk-swf Axiomatik (DE-588)4004038-0 gnd rswk-swf Geometrie (DE-588)4020236-7 s Axiomatik (DE-588)4004038-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003554590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gemignani, Michael C. Axiomatic geometry Geometrie (DE-588)4020236-7 gnd Axiomatik (DE-588)4004038-0 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4004038-0 |
| title | Axiomatic geometry |
| title_auth | Axiomatic geometry |
| title_exact_search | Axiomatic geometry |
| title_full | Axiomatic geometry Michael C. Gemignani |
| title_fullStr | Axiomatic geometry Michael C. Gemignani |
| title_full_unstemmed | Axiomatic geometry Michael C. Gemignani |
| title_short | Axiomatic geometry |
| title_sort | axiomatic geometry |
| topic | Geometrie (DE-588)4020236-7 gnd Axiomatik (DE-588)4004038-0 gnd |
| topic_facet | Geometrie Axiomatik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003554590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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