Verfügbarkeit: Menelaus' Spherics

Menelaus' Spherics: early translation and al-Māhānī/al-Harawī's version

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Rashed, Roshdi 1936- (VerfasserIn), Papadopoulos, Athanase 1957- (VerfasserIn)
Format:	Buch
Sprache:	Arabic English
Veröffentlicht:	Berlin ; Boston De Gruyter [2017]
Schriftenreihe:	Scientia Graeco-Arabica Band 21
Schlagworte:	Menelaus > Alexandrinus > ca. 1.-2. Jh. > Sphaerica Textgeschichte Übersetzung Sphärische Geometrie Arabisch Arabic mathematics Greek geometry History of non-Euclidean geometry. Spherics Menelaus Geometrie antike Mathematik Spherics; Greek geometry; Arabic mathematics; History of non-Euclidean geometry. Quelle
Online-Zugang:	Inhaltsverzeichnis http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110568233&searchTitles=true Inhaltsverzeichnis
Beschreibung:	XIV, 873 Seiten Illustrationen 25 cm
ISBN:	9783110568233 3110568233

Internformat

MARC


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Datensatz im Suchindex

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adam_text	TABLE OF CONTENTS FOREWORD........................................................................................................................ V INTRODUCTION ....................................................................................................... XI P A R T I CHAPTER 1 : MENELAUS AND HIS WRITINGS ................................................ 3 1. MENELAUS: GEOMETER AND ASTRONOMER ................................................................ 3 2. MENELAUS* WRITINGS ............................................................................................ 10 3. MENELAUS* SPHERICS ........................................................................................... 14 CHAPTER 2: THE REDACTION OF TH E^P^E^C ^B Y A L-M AE H AE N L A N D A L H A ^ W L ...................................................................................................... 23 1. PROPOSITIONS 1 TO 4 0 ........................................................................................... 26 PROPOSITION 1 ..................................................................................................... 27 PROPOSITIONS 2 AND 3 .......................................................................................... 29 PROPOSITION 4 ..................................................................................................... 29 PROPOSITIONS 5 TO 1 0 ........................................................................................... 30 PROPOSITION 11 ................................................................................................... 33 PROPOSITIONS 12 AND 13 ...................................................................................... 36 PROPOSITION 14 ................................................................................................... 36 PROPOSITION 24 ................................................................................................... 38 PROPOSITION 37 ................................................................................................... 41 2. PROPOSITIONS 41 TO 61 ......................................................................................... 48 PROPOSITION 41 ................................................................................................... 48 PROPOSITIONS 42, 43 AND 4 4 ............................................................................... 50 PROPOSITIONS 50 TO 5 4 ......................................................................................... 52 PROPOSITIONS 55 TO 6 1 ......................................................................................... 54 3. PROPOSITIONS 62 TO 91 ......................................................................................... 55 PROPOSITION 67 (111.2)......................................................................................... 56 PROPOSITIONS 69 AND 70 (111.3 AND 111.4)............................................................ 58 PROPOSITIONS 71 (111.5) ....................................................................................... 60 PROPOSITION 82 (111.15 GERARD).......................................................................... 67 OF THE S P H E R IC SILB N W D . ................................................................................. 73 IN IBN H U D SENCYCLOPEDIA .................................................................................91 PROPOSITION 1.20 H ARAW L- IBN HUD, PROPOSITION 5 .............................................. 91 PROPOSITION 1.21 H ARAW L- IBN HUD, PROPOSITION 5 (SEQUEL) ............................... 95 PROPOSITION 1.22 H ARAW L- IBN HUD, PROPOSITION 5 (SEQUEL) ............................... 98 PROPOSITION 1.23 H ARAW L-IBN HUD, PROPOSITION 6 .............................................. 101 TABLE OF CONTENTS VIII PROPOSITION 111.2 - IBN HAD, PROPOSITION 11 ......................................................... 104 PROPOSITION 111.3 (HARAWL 69, IBN IRAQ 111.3) - IBN HUD, PROPOSITION 12 ........... 107 PROPOSITION 111.4 (HARAWL 70) - IBN HUD, PROPOSITION 1 3 .................................... 110 PROPOSITION 111.6 (HARAWL 72) - IBN HUD, PROPOSITION 1 4 .................................... 113 PROPOSITION 63 HARAW.!- IBN HUD, PROPOSITION 15 .............................................. 115 PROPOSITION 111.15 (HARAWL 89) - IBN HUD, PROPOSITION 2 0 .................................. 117 PART II MATHEMATICAL COMMENTARY CHAPTER 2^ THE PROPOSITIONS ............................................................... 139 1. CONSTI * ICTION OF ANGLES (I): PROPOSITION 1 .......................................................... 141 2. GEOMETTY O FA SPHERICAL TRIANGLE: PROPOSITIONS 2, 3, 5-7, 10-12, 24-26 .......... 145 3. COMPARISON OF TWO WANGLES (I) - CONGMENCE: PROPOSITIONS 4 AND 13-19 .... 167 4. COMPARISON OF TWO TRIANGLES (II) - INEQUALITIES: PROPOSITIONS 8, 9 AND 20-23. 191 5. DIVIDING A TRIANGLE (I) - SIDE BISECTORS: PROPOSITIONS 27-29 ........................... 204 6. DIVIDING A TRIANGLE (II) - EQUAL ANGLE DIVISION: PROPOSITIONS 30-35, 38 AND 39 ........................................................................... 213 7. DIVIDING A FRIANGLE (III): PROPOSITIONS 36, 37 AND 40 ....................................... 232 8. CONSTRUCTION OFANGLES (II): PROPOSITIONS 41-44 ................................................ 244 9. MONOTONICITY (!):PROPOSITIONS 45-61 ............................................................... 250 10. THREE LEMMAS BY AL-H ARAWL............................................................................. 275 11. MONOTONICITY (II): PROPOSITIONS 62, 64 AND 65 ............................................... 281 12. A LEMMA (PROPOSITION 6 3 )................................................................................ 291 13. THE SECTOR FIGURE: PROPOSITION 66 ..................................................................... 292 14. APPLICATIONS OF THE SECTOR FIGURE: PROPOSITIONS 67-70 AND 72-80 ................ 308 15. PROPOSITION 71 ................................................................................................... 337 16. IBN IRAEQS LEMMAS FOR PROPOSITION 71 ............................................................ 357 17. A LEMMA BY NASLR AL-DLN AL-TUSI .................................................................... 369 18. MONOTONICITY (III): THE LAST PROPOSITIONS: 81-91 ........................................... 371 PART III TEXTS AND TRANSLATIONS CHAPTER 1: THE SPHERICS: A FRAGMENT OF AN ANCIENT TRANSLATION................................................................................. 399 !.INTRODUCTION .....................................:.................................................................. 399 2. THE FRAGMENT, ITS CRITICAL EDITION AND UANSLATION .............................................. 399 3. THE STRUCTARE OF THE FRAGMENT ............................................................................ 404 TEXT AND TRANSLATION : MENELAUS * TREATISE ON THE SPHERICS........................ 407 TABLE OF CONTENTS 485 485 490 AND A L-H A R A W L............................................................................... !.INTRODUCTION ................................................................................. 2. THE MANUSCRIPTS ........................................................................... TEXT AND TRANSLATION: THE TREATISE OFMENELAUS ON THE SPHERICAL FIGURES 499 POSTFACE: SPHERICAL GEOMETRY: A FEW MARKERS .............................. 779 L WHAT IS SPHERICAL GEOM ETTY?.............................................................................. 779 2. ANGLE SUM IN TRIANGLES AND QUADRILATERALS......................................................... 785 3. TRIGONOMETRY ...................................................................................................... 788 4. A PRIOR TREATISE ON THE 5 * * ** * THEODOSIUS ................................................... 792 5. IBN IRAQ AND AL-SSLROENL ON THE SPHERICAL SINE RULE AND POLARITY ....................... 795 6. IBN AL-HA}RTHAMS ASTRONOMY.............................................................................. 802 7. A THIRTEENTH-CENTURY TREATISE ON SPHERICAL GEOMETRY BY NASLR AL-DLN AL-TUSI. 804 8. THE EIGHTEENTH-CENTURY REVIVAL OF SPHERICAL GEOMETRY: LEONHARD EULER ........ 812 9. SPHERICAL GEOMETTY AFTER E U LE R.......................................................................... 823 BIBLIOGRAPHY ......................................................................................................... 827 ARABIC-ENGLISH GLOSSARY............................................................................... 839 INDEXES INDEX OF NAM ES....................................................................................................... 865 INDEX OF WORKS ....................................................................................................... 868 INDEX OF MANUSCRIPTS ............................................................................................. 874
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series	Scientia Graeco-Arabica
series2	Scientia Graeco-Arabica
spelling	Rashed, Roshdi 1936- Verfasser (DE-588)120250446 aut Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version by Roshdi Rashed and Athanase Papadopoulos Berlin ; Boston De Gruyter [2017] © 2017 XIV, 873 Seiten Illustrationen 25 cm txt rdacontent n rdamedia nc rdacarrier Scientia Graeco-Arabica Band 21 Menelaus Alexandrinus ca. 1.-2. Jh. Sphaerica (DE-588)4742277-4 gnd rswk-swf Textgeschichte (DE-588)4117192-5 gnd rswk-swf Übersetzung (DE-588)4061418-9 gnd rswk-swf Sphärische Geometrie (DE-588)4182228-6 gnd rswk-swf Arabisch (DE-588)4241223-7 gnd rswk-swf Arabic mathematics Greek geometry History of non-Euclidean geometry. Spherics Menelaus Geometrie antike Mathematik Spherics; Greek geometry; Arabic mathematics; History of non-Euclidean geometry. (DE-588)4135952-5 Quelle gnd-content Mathematici (DE-2581)TH000001890 gbd Mathematik der Antike (DE-2581)TH000007621 gbd Menelaus math. (DE-2581)TH000001954 gbd Menelaus Alexandrinus ca. 1.-2. Jh. Sphaerica (DE-588)4742277-4 u Übersetzung (DE-588)4061418-9 s Arabisch (DE-588)4241223-7 s Textgeschichte (DE-588)4117192-5 s DE-604 Sphärische Geometrie (DE-588)4182228-6 s Papadopoulos, Athanase 1957- Verfasser (DE-588)112427995 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe 978-3-11-057142-4 Scientia Graeco-Arabica Band 21 (DE-604)BV035089036 21 B:DE-101 application/pdf http://d-nb.info/1137844612/04 Inhaltsverzeichnis X:MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110568233&searchTitles=true DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030373892&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rashed, Roshdi 1936- Papadopoulos, Athanase 1957- Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version Scientia Graeco-Arabica Menelaus Alexandrinus ca. 1.-2. Jh. Sphaerica (DE-588)4742277-4 gnd Textgeschichte (DE-588)4117192-5 gnd Übersetzung (DE-588)4061418-9 gnd Sphärische Geometrie (DE-588)4182228-6 gnd Arabisch (DE-588)4241223-7 gnd
subject_GND	(DE-588)4742277-4 (DE-588)4117192-5 (DE-588)4061418-9 (DE-588)4182228-6 (DE-588)4241223-7 (DE-588)4135952-5
title	Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version
title_auth	Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version
title_exact_search	Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version
title_full	Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version by Roshdi Rashed and Athanase Papadopoulos
title_fullStr	Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version by Roshdi Rashed and Athanase Papadopoulos
title_full_unstemmed	Menelaus' Spherics early translation and al-Māhānī/al-Harawī's version by Roshdi Rashed and Athanase Papadopoulos
title_short	Menelaus' Spherics
title_sort	menelaus spherics early translation and al mahani al harawi s version
title_sub	early translation and al-Māhānī/al-Harawī's version
topic	Menelaus Alexandrinus ca. 1.-2. Jh. Sphaerica (DE-588)4742277-4 gnd Textgeschichte (DE-588)4117192-5 gnd Übersetzung (DE-588)4061418-9 gnd Sphärische Geometrie (DE-588)4182228-6 gnd Arabisch (DE-588)4241223-7 gnd
topic_facet	Menelaus Alexandrinus ca. 1.-2. Jh. Sphaerica Textgeschichte Übersetzung Sphärische Geometrie Arabisch Quelle
url	http://d-nb.info/1137844612/04 http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110568233&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030373892&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035089036
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