Ibn al-Haytham's "Completion of the conics"
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| Hauptverfasser: | , |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English Arabic |
| Veröffentlicht: |
New York ; Berlin ; Heidelberg ; Tokyo
Springer-Verlag
1985
|
| Schriftenreihe: | Sources in the history of mathematics and physical sciences
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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Datensatz im Suchindex
| DE-19_call_number | 1207/Rz A 9a IbnA 004 |
|---|---|
| DE-19_location | 1207 |
| DE-473_call_number | 40/EN 2840 FT 7136 |
| DE-473_location | 0 |
| DE-BY-UBG_katkey | 1459936 |
| DE-BY-UBG_media_number | 013908444527 |
| DE-BY-UBM_katkey | 2159915 |
| DE-BY-UBM_media_number | 99993249305 |
| _version_ | 1824051600345268224 |
| adam_text | Table of Contents Chapter 1. Introduction 1 Chapter 2. Mathematical Summary 5 Chapter 3. The Conics of Apollonius 30 §3.1 . Introduction §3.2 . Books I-VI §3.3 . Book VII 30 31 37 Chapter 4. Traces of Conics VIII §4.1 §4.2 §4.3 §4.4 . . . . Introduction. Conics I-VII The Collection of Pappus Halley’s Reconstruction Arabic Sources 41 41 43 47 48 Chapter 5. Life and Works of Ibn al-Haytham 52 §5.1 §5.2 §5.3 §5.4 §5.5 52 53 55 57 62 . . . . . Introduction. Sources Life of Ibn al-Haytham Astronomical and Optical Works Mathematical Works Ibn al-Haytham’s Authorship of the Completion Chapter 6. The Completion as a Reconstruction of Conics VIII §6.1 §6.2 §6.3 §6.4 §6.5 . . . . . Introduction : Reconstructions of Lost Greek Works Nature of Ibn al-Haytham’s Reconstruction Basis for the Reconstruction Plausibility of the Reconstruction Preliminary Character of Most of the Extant Text 64 64 65 66 72 73
Table of Contents X Chapter 7. Mathematical Aspects of the Completion §7.1 § 7.2. §7.3 § 7.4. §7.5 §7.6 §7.7 §7.8 . Introduction Greek Influence on Style and Presentation . Some Sources of the Solutions in the Completion Analysis in the Completion . The Role of Constructions . The Diorismoi . The Completion and the Problem of Alhazen . Conclusion 75 75 76 81 85 93 97 105 113 Chapter 8. The Date of the Completion 116 Chapter 9. Interpolations in the Text 120 §9.1 . Criteria §9.2 . The Author(s) of the Interpolations 120 121 Chapter 10. The Influence of the Completion 123 Chapter 11. Conclusion 125 Chapter 12. Manuscript and Editorial Procedures 127 §12.1 . The Manuscript § 12.2. Linguistic Remarks and Editorial Procedures 127 129 Chapter 13. Text and Translation 133 Appendix: Facsimile of One Page and All Geometrical Figures in the Manuscript 300 Chapter 14. Notes to the Translation 311 Appendix: The Diorismos of Propositions 12-13 382 Chapter 15. Indices 391 §15.1 §15.2 Conics §15.3 §15.4 §15.5 391 . Glossary of Technical Terms . Index of References in the Text of the Completion to Propositions in the 402 403 . Index of References to the Conics in the Notes and the Commentary 405 . Index of Names 411 . Bibliography
|
| any_adam_object | 1 |
| author | Hogendijk, Jan P. 1955- Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 |
| author2 | Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 |
| author2_role | |
| author2_variant | a ḥ i a i a aḥiai aḥiaia |
| author_GND | (DE-588)1024679020 (DE-588)118648160 |
| author_facet | Hogendijk, Jan P. 1955- Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 |
| author_role | aut aut |
| author_sort | Hogendijk, Jan P. 1955- |
| author_variant | j p h jp jph a ḥ i a i a aḥiai aḥiaia |
| building | Verbundindex |
| bvnumber | BV000286328 |
| classification_rvk | EN 2840 EN 3050 NU 1500 SG 590 |
| ctrlnum | (OCoLC)643816357 (DE-599)BVBBV000286328 |
| discipline | Außereuropäische Sprachen und Literaturen Geschichte Mathematik Literaturwissenschaft |
| era | Geschichte gnd Geschichte 200 v. Chr. gnd |
| era_facet | Geschichte Geschichte 200 v. Chr. |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content (DE-588)4135952-5 Quelle gnd-content |
| genre_facet | Hochschulschrift Quelle |
| geographic | Griechenland Altertum (DE-588)4093976-5 gnd |
| geographic_facet | Griechenland Altertum |
| id | DE-604.BV000286328 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-14T17:37:57Z |
| institution | BVB |
| isbn | 0387960139 9780387960135 9783540960133 |
| language | English Arabic |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000174081 |
| oclc_num | 643816357 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-473 DE-BY-UBG DE-824 DE-210 DE-19 DE-BY-UBM DE-11 DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-473 DE-BY-UBG DE-824 DE-210 DE-19 DE-BY-UBM DE-11 DE-83 DE-188 |
| physical | x, 417 Seiten Diagramme |
| psigel | HUB-WG055nak200602 |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Sources in the history of mathematics and physical sciences |
| series2 | Sources in the history of mathematics and physical sciences |
| spellingShingle | Hogendijk, Jan P. 1955- Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 Ibn al-Haytham's "Completion of the conics" Sources in the history of mathematics and physical sciences Apollonius Pergaeus v262-v190 Conica 8 (DE-588)4710688-8 gnd Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 al-Maqāla fī tamām Kitāb al-maḫrūṭāṭ (DE-588)7729828-7 gnd Rekonstruktion (DE-588)4136102-7 gnd Theorie (DE-588)4059787-8 gnd Kegelschnitt (DE-588)4125170-2 gnd Raum (DE-588)4048561-4 gnd Geometrie (DE-588)4020236-7 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4710688-8 (DE-588)7729828-7 (DE-588)4136102-7 (DE-588)4059787-8 (DE-588)4125170-2 (DE-588)4048561-4 (DE-588)4020236-7 (DE-588)4037944-9 (DE-588)4093976-5 (DE-588)4113937-9 (DE-588)4135952-5 |
| title | Ibn al-Haytham's "Completion of the conics" |
| title_alt | al-Maqāla fī tamām Kitāb al-maḫrūṭāṭ |
| title_auth | Ibn al-Haytham's "Completion of the conics" |
| title_exact_search | Ibn al-Haytham's "Completion of the conics" |
| title_full | Ibn al-Haytham's "Completion of the conics" J.P. Hogendijk |
| title_fullStr | Ibn al-Haytham's "Completion of the conics" J.P. Hogendijk |
| title_full_unstemmed | Ibn al-Haytham's "Completion of the conics" J.P. Hogendijk |
| title_short | Ibn al-Haytham's "Completion of the conics" |
| title_sort | ibn al haytham s completion of the conics |
| topic | Apollonius Pergaeus v262-v190 Conica 8 (DE-588)4710688-8 gnd Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 al-Maqāla fī tamām Kitāb al-maḫrūṭāṭ (DE-588)7729828-7 gnd Rekonstruktion (DE-588)4136102-7 gnd Theorie (DE-588)4059787-8 gnd Kegelschnitt (DE-588)4125170-2 gnd Raum (DE-588)4048561-4 gnd Geometrie (DE-588)4020236-7 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Apollonius Pergaeus v262-v190 Conica 8 Ibn-al-Haiṯam, al-Ḥasan Ibn-al-Ḥasan 965-1039 al-Maqāla fī tamām Kitāb al-maḫrūṭāṭ Rekonstruktion Theorie Kegelschnitt Raum Geometrie Mathematik Griechenland Altertum Hochschulschrift Quelle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000174081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000898662 |
| work_keys_str_mv | AT hogendijkjanp ibnalhaythamscompletionoftheconics AT ibnalhaitamalhasanibnalhasan ibnalhaythamscompletionoftheconics |