Geometry:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Ausgabe: | 2. ed., 4. corr. reprint |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 394 S. graph. Darst. |
| ISBN: | 3540966544 0387966544 |
Internformat
MARC
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| 250 | |a 2. ed., 4. corr. reprint | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
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| 650 | 7 | |a Géométrie euclidienne |2 ram | |
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Datensatz im Suchindex
| _version_ | 1804125941204516864 |
|---|---|
| adam_text | SERGE LANG GENE MURROW GEOMETRY SECOND EDITION WITH 577 ILLUSTRATIONS
SPRINGER CONTENTS INTRODUCTION IX CHAPTER 1 DISTANCE AND ANGLES 1 §1.
LINES 1 §2. DISTANCE 8 §3. ANGLES 13 §4. PROOFS 29 §5. RIGHT ANGLES AND
PERPENDICULARITY 36 §6. THE ANGLES OF A TRIANGLE 46 §7. AN APPLICATION:
ANGLES OF REFLECTION 62 CHAPTER 2 COORDINATES 65 §1. COORDINATE SYSTEMS
65 §2. DISTANCE BETWEEN POINTS ON A LINE 71 §3. EQUATION OF A LINE 73
CHAPTER 3 AREA AND THE PYTHAGORAS THEOREM 81 §1. THE AREA OF A TRIANGLE
81 §2. THE PYTHAGORAS THEOREM 95 CHAPTER 4 THE DISTANCE FORMULA 110 §1.
DISTANCE BETWEEN ARBITRARY POINTS 110 §2. HIGHER DIMENSIONAL SPACE 114
§3. EQUATION OF A CIRCLE 119 VI CONTENTS CHAPTER 5 SOME APPLICATIONS OF
RIGHT TRIANGLES 123 §1. PERPENDICULAR BISECTOR 124 §2. ISOSCELES AND
EQUILATERAL TRIANGLES 136 §3. THEOREMS ABOUT CIRCLES 148 CHAPTER 6
POLYGONS 162 §1. BASIC IDEAS 162 §2. CONVEXITY AND ANGLES 165 §3.
REGULAR POLYGONS 169 CHAPTER 7 CONGRUENT TRIANGLES 177 §1. EUCLID S
TESTS FOR CONGRUENCE 177 §2. SOME APPLICATIONS OF CONGRUENT TRIANGLES
192 §3. SPECIAL TRIANGLES 200 CHAPTER 8 DILATIONS AND SIMILARITIES 210
§1. DEFINITION 210 §2. CHANGE OF AREA UNDER DILATION 218 §3. CHANGE OF
LENGTH UNDER DILATION 232 §4. THE CIRCUMFERENCE OF A CIRCLE 235 §5.
SIMILAR TRIANGLES 245 CHAPTER 9 VOLUMES 261 §1. BOXES AND CYLINDERS 261
§2. CHANGE OF VOLUME UNDER DILATIONS 270 §3. CONES AND PYRAMIDS 274 §4.
THE VOLUME OF THE BALL 281 §5. THE AREA OF THE SPHERE 290 CHAPTER 10
VECTORS AND DOT PRODUCT 295 §1. VECTOR ADDITION 296 §2. THE SCALAR
PRODUCT 301 §3. PERPENDICULARITY 304 §4. PROJECTIONS 309 §5. ORDINARY
EQUATION FOR A LINE 312 §6. THE 3-DIMENSIONAL CASE 316 §7. EQUATION FOR
A PLANE IN 3-SPACE 319 CHAPTER 11 TRANSFORMATIONS 321 §1. INTRODUCTION
321 §2. SYMMETRY AND REFLECTIONS 324 §3. TERMINOLOGY 331 CONTENTS VII
§4. REFLECTION THROUGH A LINE 332 §5. REFLECTION THROUGH A POINT 337 §6.
ROTATIONS 340 §7. TRANSLATIONS 346 §8. TRANSLATIONS AND COORDINATES 348
CHAPTER 12 ISOMETRIES 356 §1. DEFINITIONS AND BASIC PROPERTIES 356 §2.
RELATIONS WITH COORDINATES 363 §3. COMPOSITION OF ISOMETRIES 367 §4.
DEFINITION OF CONGRUENCE 377 §5. PROOFS OF EUCLID S TESTS FOR CONGRUENT
TRIANGLES 381 §6. ISOMETRIES AS COMPOSITIONS OF REFLECTIONS 384 INDEX
391
|
| any_adam_object | 1 |
| author | Lang, Serge 1927-2005 Murrow, Gene |
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| dewey-full | 516 |
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| dewey-ones | 516 - Geometry |
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| dewey-search | 516 |
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| discipline | Mathematik |
| edition | 2. ed., 4. corr. reprint |
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| genre_facet | Lehrbuch |
| id | DE-604.BV011426670 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:09:33Z |
| institution | BVB |
| isbn | 3540966544 0387966544 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007683456 |
| oclc_num | 37913186 |
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| owner_facet | DE-703 DE-20 DE-1050 DE-11 |
| physical | XII, 394 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| spelling | Lang, Serge 1927-2005 Verfasser (DE-588)119305119 aut Geometry Serge Lang ; Gene Murrow 2. ed., 4. corr. reprint New York [u.a.] Springer 1997 XII, 394 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geometrie lc Géométrie euclidienne - Problèmes et exercices ram Géométrie euclidienne ram Geometry Geometrie (DE-588)4020236-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Geometrie (DE-588)4020236-7 s DE-604 Murrow, Gene Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lang, Serge 1927-2005 Murrow, Gene Geometry Geometrie lc Géométrie euclidienne - Problèmes et exercices ram Géométrie euclidienne ram Geometry Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4123623-3 |
| title | Geometry |
| title_auth | Geometry |
| title_exact_search | Geometry |
| title_full | Geometry Serge Lang ; Gene Murrow |
| title_fullStr | Geometry Serge Lang ; Gene Murrow |
| title_full_unstemmed | Geometry Serge Lang ; Gene Murrow |
| title_short | Geometry |
| title_sort | geometry |
| topic | Geometrie lc Géométrie euclidienne - Problèmes et exercices ram Géométrie euclidienne ram Geometry Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Geometrie Géométrie euclidienne - Problèmes et exercices Géométrie euclidienne Geometry Lehrbuch |
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