Geometry for college students:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I
American Math. Soc.
2001
|
| Series: | Pure and applied undergraduate texts
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Originally published: Pacific Grove, CA : Brooks/Cole Pub. Co., 2001. - Includes bibliographical references and index |
| Physical Description: | XII, 222 S. graph. Darst. |
| ISBN: | 9780821847947 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804145332178649088 |
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| adam_text | Titel: Geometry for college students
Autor: Isaacs, Irving Martin
Jahr: 2009
Contents
CHAPTER 1
The Basics 1
1A Introduction and Apology 1
IB Congruent Triangles 5
1C Angles and Parallel Lines 11
ID Parallelograms 14
IE Area 18
IF Circles and Arcs 23
1G Polygons in Circles 34
1H Similarity 39
CHAPTER 2
Triangles 50
2A The Circumcircle 50
2B TheCentroid 56
2C The Euler Line, Orthocenter, and Nine-Point Circle 60
2D Computations 67
2E Thelncircle 73
2F Exscribed Circles 80
2G Morley s Theorem 82
2H Optimization in Triangles 85
CHAPTER 3
Circles and Lines 94
3A Simson Lines 94
3B The Butterfly Theorem 105
3C Cross Ratios 107
3D The Radical Axis 119
xi
xn CONTENTS
CHAPTER 4
Ceva s Theorem and Its Relatives 125
4 A Ceva s Theorem 125
4B Interior and Exterior Cevians 131
4C Ceva s Theorem and Angles 136
4D Menelaus Theorem 146
CHAPTER 5
Vector Methods of Proof 156
5A Vectors 156
5B Vectors and Geometry 158
5C Dot Products 163
5D Checkerboards 166
5E A Bit of Trigonometry 170
5F Linear Operators 172
CHAPTER 6
Geometric Constructions 182
6A Rules of the Game 182
6B Reconstructing Triangles 187
6C Tangents 191
6D Three Hard Problems 196
6E Constructible Numbers 203
6F Changing the Rules 208
Some Further Reading 216
Index 218
|
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| id | DE-604.BV026719316 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:17:46Z |
| institution | BVB |
| isbn | 9780821847947 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022260331 |
| oclc_num | 729903257 |
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| owner | DE-188 DE-91G DE-BY-TUM |
| owner_facet | DE-188 DE-91G DE-BY-TUM |
| physical | XII, 222 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Pure and applied undergraduate texts |
| series2 | Pure and applied undergraduate texts |
| spelling | Isaacs, Irving Martin Verfasser aut Geometry for college students I. Martin Isaacs Providence, R.I American Math. Soc. 2001 XII, 222 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied undergraduate texts 8 Originally published: Pacific Grove, CA : Brooks/Cole Pub. Co., 2001. - Includes bibliographical references and index Geometry / Textbooks Elementargeometrie (DE-588)4137488-5 gnd rswk-swf Elementargeometrie (DE-588)4137488-5 s DE-604 Pure and applied undergraduate texts 8 (DE-604)BV035489189 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022260331&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Isaacs, Irving Martin Geometry for college students Pure and applied undergraduate texts Geometry / Textbooks Elementargeometrie (DE-588)4137488-5 gnd |
| subject_GND | (DE-588)4137488-5 |
| title | Geometry for college students |
| title_auth | Geometry for college students |
| title_exact_search | Geometry for college students |
| title_full | Geometry for college students I. Martin Isaacs |
| title_fullStr | Geometry for college students I. Martin Isaacs |
| title_full_unstemmed | Geometry for college students I. Martin Isaacs |
| title_short | Geometry for college students |
| title_sort | geometry for college students |
| topic | Geometry / Textbooks Elementargeometrie (DE-588)4137488-5 gnd |
| topic_facet | Geometry / Textbooks Elementargeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022260331&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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