Topics in elementary geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Dutch |
| Published: |
New York, NY
Springer
2008
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Angekündigt u.d.T.: Bottema, Oene: Selected topics in elementary geometry |
| Physical Description: | XII, 142 S. graph. Darst. |
| ISBN: | 9780387781303 9780387781310 |
Staff View
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Record in the Search Index
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Contents
Foreword VII
Preface to the Second Edition IX
1 The Pythagorean Theorem 1
2 Ceva's Theorem 7
3 Perpendicular Bisectors; Concurrence 13
4 The Nine-Point Circle and Euler Line 19
5 The Taylor Circle 23
6 Coordinate Systems with Respect to a Triangle 25
7 The Area of a Triangle as a Function of the Barycentric
Coordinates of Its Vertices 29
8 The Distances from a Point to the Vertices of a Triangle. 33
9 The Simson Line 39
10 Morley's Triangle 43
11 Inequalities in a Triangle 47
12 The Mixed Area of Two Parallel Polygons 51
13 The Isoperimetric Inequality 57
14 Poncelet Polygons 65
XII Contents
15 A Closure Problem for Triangles 73
16 A Class of Special Triangles 77
17 Two Unusual Conditions for a Triangle 81
18 A Counterpart for the Euler Line 83
19 Menelaus's Theorem; Cross-Ratios and Reciprocation 85
20 The Theorems of Desargues, Pappus, and Pascal 91
21 Inversion 99
22 The Theorems of Ptolemy and Casey 103
23 Pedal Triangles; Brocard Points 107
24 Isogonal Conjugation; the Symmedian Point Ill
25 Isotomic Conjugation 117
26 Triangles with Two Equal Angle Bisectors 119
27 The Inscribed Triangle with the Smallest Perimeter; the
Fermat Point 123
Appendix: Remarks and Hints 127
Bibliography 133
Index 139 |
| adam_txt |
Contents
Foreword VII
Preface to the Second Edition IX
1 The Pythagorean Theorem 1
2 Ceva's Theorem 7
3 Perpendicular Bisectors; Concurrence 13
4 The Nine-Point Circle and Euler Line 19
5 The Taylor Circle 23
6 Coordinate Systems with Respect to a Triangle 25
7 The Area of a Triangle as a Function of the Barycentric
Coordinates of Its Vertices 29
8 The Distances from a Point to the Vertices of a Triangle. 33
9 The Simson Line 39
10 Morley's Triangle 43
11 Inequalities in a Triangle 47
12 The Mixed Area of Two Parallel Polygons 51
13 The Isoperimetric Inequality 57
14 Poncelet Polygons 65
XII Contents
15 A Closure Problem for Triangles 73
16 A Class of Special Triangles 77
17 Two Unusual Conditions for a Triangle 81
18 A Counterpart for the Euler Line 83
19 Menelaus's Theorem; Cross-Ratios and Reciprocation 85
20 The Theorems of Desargues, Pappus, and Pascal 91
21 Inversion 99
22 The Theorems of Ptolemy and Casey 103
23 Pedal Triangles; Brocard Points 107
24 Isogonal Conjugation; the Symmedian Point Ill
25 Isotomic Conjugation 117
26 Triangles with Two Equal Angle Bisectors 119
27 The Inscribed Triangle with the Smallest Perimeter; the
Fermat Point 123
Appendix: Remarks and Hints 127
Bibliography 133
Index 139 |
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| index_date | 2024-07-02T21:39:32Z |
| indexdate | 2024-07-20T09:47:19Z |
| institution | BVB |
| isbn | 9780387781303 9780387781310 |
| language | English Dutch |
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| spelling | Bottema, Oene Verfasser aut Hoofdstukken uit de elementaire meetkunde Topics in elementary geometry O. Bottema Selected topics in elementary geometry 2. ed. New York, NY Springer 2008 XII, 142 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Angekündigt u.d.T.: Bottema, Oene: Selected topics in elementary geometry Geometry, Plane Elementargeometrie (DE-588)4137488-5 gnd rswk-swf Elementargeometrie (DE-588)4137488-5 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3061984&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016667868&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bottema, Oene Topics in elementary geometry Geometry, Plane Elementargeometrie (DE-588)4137488-5 gnd |
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| title | Topics in elementary geometry |
| title_alt | Hoofdstukken uit de elementaire meetkunde Selected topics in elementary geometry |
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| title_exact_search | Topics in elementary geometry |
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| title_full | Topics in elementary geometry O. Bottema |
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| title_short | Topics in elementary geometry |
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