The trisection problem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
National Council of Teachers of Math.
1971
|
| Schriftenreihe: | Classics in mathematics education.
Vol. 3. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 68 S. Abb., Tab. |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804119902285463552 |
|---|---|
| adam_text | CONTENTS
Foreword v
About the Author ix
Chapter 1: THE PROBLEM 5
The Famous Three, 5 * A Classical Game, 6 • Trisec-
tion, 7 • Statement of the Problem, 7 • Constructibility,
9 • The Impossible, 13 • The Possible, 14 • Other
Criteria, 16 • Regular Polygons, 18
Chapter 2: SOLUTIONS BY MEANS OF CURVES 19
The Quadratrix, 19 • The Conchoid, 20 • The Hyper¬
bola, 22 • The Limacon, 23 • The Parabola, 25 •
The Cubic Parabola, 28 • The Cycloid of Ceva, 29 •
Remarks, 30
Chapter 3: MECHANICAL TRISECTORS 31
The Graduated Ruler, 31 • The Compasses of Hermes, 33
• A Three Bar Apparatus, 34 • Ceva s Pantograph, 35
• Amadori s Instrument, 36 • The Capenter s Square,
36 • The Tomahawk, 37 • Laisant s Compasses, 38
• Laisant s Mechanism, 38 • Kempe s Trisector, 39 *
A Linkage, 41 * Sylvester s Isoklinostat, 42 • A Line
Motion Trisector, 42 • Draughting Triangles, 43 • The
Cone Trisector, 44 • Remarks, 45
Chapter 4: APPROXIMATIONS 47
An Unending Construction, 47 • Approximation of von
Cusa and Snellius, 48 • Diirer s Approximation, 51 •
Karajordanoff s Approximation, 52 • Kopf-Perron Approxi¬
mation, 54 • Approximation of D Ocagne, 55 • Com¬
parison of Methods, 55
vii
viii Contents
Chapter 5: DON QUIXOTES 57
The Case of J. C. W , 58 • The Case of J. W , 60
• The Case of J. J. C ,60 • The Case of J. J. G ,
62 • The Case of L. J. R. H , 64 • Miscellaneous
Cases, 65
Bibliography 67
|
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| id | DE-604.BV005717412 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:33:34Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003571335 |
| oclc_num | 274080 |
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| owner_facet | DE-703 DE-355 DE-BY-UBR DE-83 |
| physical | XII, 68 S. Abb., Tab. |
| psigel | TUB-nvmb |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | National Council of Teachers of Math. |
| record_format | marc |
| series | Classics in mathematics education. |
| series2 | Classics in mathematics education. |
| spelling | Yates, Robert C. Verfasser aut The trisection problem New York National Council of Teachers of Math. 1971 XII, 68 S. Abb., Tab. txt rdacontent n rdamedia nc rdacarrier Classics in mathematics education. Vol. 3. Matematica larpcal Trisection of angle Dreiteilung des Winkels (DE-588)4189965-9 gnd rswk-swf Dreiteilung des Winkels (DE-588)4189965-9 s DE-604 Classics in mathematics education. Vol. 3. (DE-604)BV001890670 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003571335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yates, Robert C. The trisection problem Classics in mathematics education. Matematica larpcal Trisection of angle Dreiteilung des Winkels (DE-588)4189965-9 gnd |
| subject_GND | (DE-588)4189965-9 |
| title | The trisection problem |
| title_auth | The trisection problem |
| title_exact_search | The trisection problem |
| title_full | The trisection problem |
| title_fullStr | The trisection problem |
| title_full_unstemmed | The trisection problem |
| title_short | The trisection problem |
| title_sort | the trisection problem |
| topic | Matematica larpcal Trisection of angle Dreiteilung des Winkels (DE-588)4189965-9 gnd |
| topic_facet | Matematica Trisection of angle Dreiteilung des Winkels |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003571335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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