Japanese temple geometry problems: San Gaku
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Winnipeg, Canada
Charles Babbage Research Centre
1989
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 206 S. Ill., graph. Darst., Kt. |
| ISBN: | 0919611214 |
Internformat
MARC
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| 245 | 1 | 0 | |a Japanese temple geometry problems |b San Gaku |c H. Fukagawa and D. Pedoe |
| 264 | 1 | |a Winnipeg, Canada |b Charles Babbage Research Centre |c 1989 | |
| 300 | |a XVI, 206 S. |b Ill., graph. Darst., Kt. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 648 | 7 | |a Geschichte 1603-1867 |2 gnd |9 rswk-swf | |
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| 650 | 4 | |a Géométrie - Japon - Problèmes et exercices | |
| 650 | 4 | |a Geschichte | |
| 650 | 4 | |a Geometry |z Japan |v Problems, exercises, etc | |
| 650 | 4 | |a Geometry |z Japan |x History | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Preface p. xi
Notation p. xv
PARTI
Japanese Temple Geometry Problems p. 1
Chapter I. CIRCLES
1.1 Two Circles: Example 1.1. Problems 1.1.1 1.1.4 p. 3
1.2 Three Circles: Example 1.2. Problems 1.2.1 1.2.8 p. 4
1.3 Four Circles: Example 1.3. Problems 1.3.1 1.3.5 p. 6
1.4 Five Circles: Example 1.4. Problems 1.4.1 1.4.7 p. 7
1.5 Many Circles: Example 1.5. Problems 1.5.1 1.5.11 p. 10
1.6 Segments of a Circle:
Example 1.6. Problems 1.6.1 1.6.6 p. 14
1.7 The Descartes Circle Theorem:
Example 1.7. Problems 1.7.1 1.7.5 p. 16
1.8 Problems Soluble By Inversion:
Example 1.8. Problems 1.8.1 1.8.18 p. 17
Chapter 2. CIRCLES AND TRIANGLES
2.1 Circles and Equilateral Triangles:
Example 2.1. Problems 2.1.1 2.1.11 p. 23
2.2 One or Two Circles and Triangles:
Example 2.2. Problems 2.2.1 2.2.8 p. 26
2.3 Three Circles and Triangles:
Example 2.3. Problems 2.3.1 2.3.7 p. 28
2.4 Four Circles and Triangles:
Example 2.4(1),(2). Problems 2.4.1 2.4.7 p. 30
2.5 Five Circles and Triangles:
Example 2.5. Problems 2.5.1 2.5.6 p. 33
2.6 Many Circles and Triangles:
Example 2.6. Problems 2.6.1 2.6.4 p. 35
Chapter 3. CIRCLES AND POLYGONS
3.1 One or Two Circles and Squares:
Example 3.1. Problems 3.1.1 3.1.7 p. 37
3.2 Three Circles and Squares:
Example 3.2. Problems 3.2.1 3.2.5 p. 39
3.3 Many Circles and Squares (Casey s Theorem):
Example 3.3. Problems 3.3.1 3.3.4 p. 41
3.4 Circles and Rectangles:
Example 3.4. Problems 3.4.1 3.4.5 p. 42
3.5 Circles and Quadrilaterals:
Example 3.5(1),(2). Problems 3.5.1 3.5.5 p. 43
Chapter 4. POLYGONS
4.1 Triangles: Example4.1. Problems 4.1.1 4.1.5 p. 46
4.2 Quadrilaterals: Example 4.2. Problems 4.2.1 4.2.5 p. 47
4.3 Pentagons: Example 4.3. Problems 4.3.1 4.3.2 p. 49
Chapter 5. ELLIPSES (AND ONE HYPERBOLA)
5.1 Ellipses: Example 5.1. Problems 5.1.1 5.1.3 p. 50
5.2 The One Hyperbola:
Example 5.2. p. 51
Chapter 6. ELLIPSES AND CIRCLES
6.1 Ellipses and One Circle:
Example 6.1. Problems 6.1.1 6.1.8 p. 52
6.2 Ellipses and Two Circles:
Example 6.2. Problems 6.2.1 6.2.5 p. 54
6.3 Ellipses and Three Circles:
Example 6.3. Problems 6.3.1 ^.3.9 p. 56
6.4 Ellipses and Many Circles:
Example 6.4. Problems 6.4.1 6.4.7 p. 59
Chapter 7. ELLIPSES AND POLYGONS
7.1 Ellipses and Triangles:
Example 7.1. Problem 7.1.1 p. 62
7.2 Ellipses and Quadrilaterals:
Example 7.2. Problems 7.2.1 7.2.8 p. 62
Chapter 8. ELLIPSES, CIRCLES AND QUADRILATERALS
8.1 Ellipses, Circles and Rectangles:
Example 8.1. Problems 8.1.1 8.1.7 p. 65
8.2 Ellipses, Circles and Rhombuses:
Example 8.2. Problems 8.2.1 8.2.2 p. 68
Chapter 9. SPHERES
9.1 Spheres: Example 9.1. Problems 9.1.1 9.1.11 p. 69
9.2 Spheres and Ellipsoids:
Example 9.2. Problems 9.2.1 9.2.4 p. 72
9.3 Spheres, Pyramids and Prisms:
Example 9.3. Problems 9.3.1 9.3.10 p. 74
CONTENTS
PART II
Solutions to Selected Problems and Answers p. 77
Bibliography p. 167
Photographs: Tablet containing Problem 1.5.3 p. 173
Tablet containing a Problem similar to
Problem 3.3.4 p. 174
The Isaniwa Jinjya shrine, which contains 22
mathematical tablets, the earliest dated 1803,
the latest dated 1937. This is in the Ehime
prefecture. p. 175
The Kaizu Tenman shrine of Siga prefecture.
The large tablet under the roof on the right of
the photo dates from 1875, and contains 23
problems. p. 176
Woodblock printed solution to Example 6.2 p. 177
Woodblock printed solution to Example 9.1 p. 179
Maps: Japan, with names of prefectures p. 187
Numbers of tablets in each prefecture p. 188
Appendix: One hundred problems on a square of side a,
each involving at least one circle of radius
a /16. These are not temple geometry
problems, but appear in [52], p. 170. p. 189
|
| adam_txt |
CONTENTS
Preface p. xi
Notation p. xv
PARTI
Japanese Temple Geometry Problems p. 1
Chapter I. CIRCLES
1.1 Two Circles: Example 1.1. Problems 1.1.1 1.1.4 p. 3
1.2 Three Circles: Example 1.2. Problems 1.2.1 1.2.8 p. 4
1.3 Four Circles: Example 1.3. Problems 1.3.1 1.3.5 p. 6
1.4 Five Circles: Example 1.4. Problems 1.4.1 1.4.7 p. 7
1.5 Many Circles: Example 1.5. Problems 1.5.1 1.5.11 p. 10
1.6 Segments of a Circle:
Example 1.6. Problems 1.6.1 1.6.6 p. 14
1.7 The Descartes Circle Theorem:
Example 1.7. Problems 1.7.1 1.7.5 p. 16
1.8 Problems Soluble By Inversion:
Example 1.8. Problems 1.8.1 1.8.18 p. 17
Chapter 2. CIRCLES AND TRIANGLES
2.1 Circles and Equilateral Triangles:
Example 2.1. Problems 2.1.1 2.1.11 p. 23
2.2 One or Two Circles and Triangles:
Example 2.2. Problems 2.2.1 2.2.8 p. 26
2.3 Three Circles and Triangles:
Example 2.3. Problems 2.3.1 2.3.7 p. 28
2.4 Four Circles and Triangles:
Example 2.4(1),(2). Problems 2.4.1 2.4.7 p. 30
2.5 Five Circles and Triangles:
Example 2.5. Problems 2.5.1 2.5.6 p. 33
2.6 Many Circles and Triangles:
Example 2.6. Problems 2.6.1 2.6.4 p. 35
Chapter 3. CIRCLES AND POLYGONS
3.1 One or Two Circles and Squares:
Example 3.1. Problems 3.1.1 3.1.7 p. 37
3.2 Three Circles and Squares:
Example 3.2. Problems 3.2.1 3.2.5 p. 39
3.3 Many Circles and Squares (Casey's Theorem):
Example 3.3. Problems 3.3.1 3.3.4 p. 41
3.4 Circles and Rectangles:
Example 3.4. Problems 3.4.1 3.4.5 p. 42
3.5 Circles and Quadrilaterals:
Example 3.5(1),(2). Problems 3.5.1 3.5.5 p. 43
Chapter 4. POLYGONS
4.1 Triangles: Example4.1. Problems 4.1.1 4.1.5 p. 46
4.2 Quadrilaterals: Example 4.2. Problems 4.2.1 4.2.5 p. 47
4.3 Pentagons: Example 4.3. Problems 4.3.1 4.3.2 p. 49
Chapter 5. ELLIPSES (AND ONE HYPERBOLA)
5.1 Ellipses: Example 5.1. Problems 5.1.1 5.1.3 p. 50
5.2 The One Hyperbola:
Example 5.2. p. 51
Chapter 6. ELLIPSES AND CIRCLES
6.1 Ellipses and One Circle:
Example 6.1. Problems 6.1.1 6.1.8 p. 52
6.2 Ellipses and Two Circles:
Example 6.2. Problems 6.2.1 6.2.5 p. 54
6.3 Ellipses and Three Circles:
Example 6.3. Problems 6.3.1 ^.3.9 p. 56
6.4 Ellipses and Many Circles:
Example 6.4. Problems 6.4.1 6.4.7 p. 59
Chapter 7. ELLIPSES AND POLYGONS
7.1 Ellipses and Triangles:
Example 7.1. Problem 7.1.1 p. 62
7.2 Ellipses and Quadrilaterals:
Example 7.2. Problems 7.2.1 7.2.8 p. 62
Chapter 8. ELLIPSES, CIRCLES AND QUADRILATERALS
8.1 Ellipses, Circles and Rectangles:
Example 8.1. Problems 8.1.1 8.1.7 p. 65
8.2 Ellipses, Circles and Rhombuses:
Example 8.2. Problems 8.2.1 8.2.2 p. 68
Chapter 9. SPHERES
9.1 Spheres: Example 9.1. Problems 9.1.1 9.1.11 p. 69
9.2 Spheres and Ellipsoids:
Example 9.2. Problems 9.2.1 9.2.4 p. 72
9.3 Spheres, Pyramids and Prisms:
Example 9.3. Problems 9.3.1 9.3.10 p. 74
CONTENTS
PART II
Solutions to Selected Problems and Answers p. 77
Bibliography p. 167
Photographs: Tablet containing Problem 1.5.3 p. 173
Tablet containing a Problem similar to
Problem 3.3.4 p. 174
The Isaniwa Jinjya shrine, which contains 22
mathematical tablets, the earliest dated 1803,
the latest dated 1937. This is in the Ehime
prefecture. p. 175
The Kaizu Tenman shrine of Siga prefecture.
The large tablet under the roof on the right of
the photo dates from 1875, and contains 23
problems. p. 176
Woodblock printed solution to Example 6.2 p. 177
Woodblock printed solution to Example 9.1 p. 179
Maps: Japan, with names of prefectures p. 187
Numbers of tablets in each prefecture p. 188
Appendix: One hundred problems on a square of side a,
each involving at least one circle of radius
a /16. These are not temple geometry
problems, but appear in [52], p. 170. p. 189 |
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| spelling | Fukagawa, Hidetosi Verfasser aut Japanese temple geometry problems San Gaku H. Fukagawa and D. Pedoe Winnipeg, Canada Charles Babbage Research Centre 1989 XVI, 206 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Geschichte 1603-1867 gnd rswk-swf Géométrie - Japon - Histoire Géométrie - Japon - Problèmes et exercices Geschichte Geometry Japan Problems, exercises, etc Geometry Japan History Euklidische Geometrie (DE-588)4137555-5 gnd rswk-swf Gemälde (DE-588)4122164-3 gnd rswk-swf Japan (DE-588)4028495-5 gnd rswk-swf Japan (DE-588)4028495-5 g Euklidische Geometrie (DE-588)4137555-5 s Gemälde (DE-588)4122164-3 s Geschichte 1603-1867 z DE-604 Pedoe, Daniel Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015628826&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fukagawa, Hidetosi Pedoe, Daniel Japanese temple geometry problems San Gaku Géométrie - Japon - Histoire Géométrie - Japon - Problèmes et exercices Geschichte Geometry Japan Problems, exercises, etc Geometry Japan History Euklidische Geometrie (DE-588)4137555-5 gnd Gemälde (DE-588)4122164-3 gnd |
| subject_GND | (DE-588)4137555-5 (DE-588)4122164-3 (DE-588)4028495-5 |
| title | Japanese temple geometry problems San Gaku |
| title_auth | Japanese temple geometry problems San Gaku |
| title_exact_search | Japanese temple geometry problems San Gaku |
| title_exact_search_txtP | Japanese temple geometry problems San Gaku |
| title_full | Japanese temple geometry problems San Gaku H. Fukagawa and D. Pedoe |
| title_fullStr | Japanese temple geometry problems San Gaku H. Fukagawa and D. Pedoe |
| title_full_unstemmed | Japanese temple geometry problems San Gaku H. Fukagawa and D. Pedoe |
| title_short | Japanese temple geometry problems |
| title_sort | japanese temple geometry problems san gaku |
| title_sub | San Gaku |
| topic | Géométrie - Japon - Histoire Géométrie - Japon - Problèmes et exercices Geschichte Geometry Japan Problems, exercises, etc Geometry Japan History Euklidische Geometrie (DE-588)4137555-5 gnd Gemälde (DE-588)4122164-3 gnd |
| topic_facet | Géométrie - Japon - Histoire Géométrie - Japon - Problèmes et exercices Geschichte Geometry Japan Problems, exercises, etc Geometry Japan History Euklidische Geometrie Gemälde Japan |
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