In Nicomachi Arithmeticam:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | French Ancient Greek |
Veröffentlicht: |
Pisa
F. Serra
2014
|
Schriftenreihe: | Mathematica graeca antiqua
3 |
Schlagworte: | |
Online-Zugang: | Rezension Inhaltsverzeichnis |
Beschreibung: | Includes bibliographical references (p. [345]-348) and indexes |
Beschreibung: | 348 S. Ill. 25 cm |
ISBN: | 9788862276160 |
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264 | 1 | |a Pisa |b F. Serra |c 2014 | |
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Datensatz im Suchindex
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adam_text | Titel: In Nicomachi Arithmeticam
Autor: Iamblichus, Chalcidensis
Jahr: 2014
SOMMAIRE
Introduction 11
1. Nie de Jamblique 11
2. La somme pythagoricienne de Jamblique 12
3. L in Nicomachi arithmeticam 13
3.1. Une Introduction ä l arithmetique 14
3.2. Le titre de l in Nicomachi arithmeticam 15
3.3. Plan detaille de l in Nicomachi arithmeticam 15
3.4. Leloge trompeur de Nicomaque 19
3.5. Un temoin precieux 20
3.6. Une oeuvre novatrice 21
4. L arithmetique de la justice et les carres dits «magiques» 23
4.1. Un passage controverse chez Theon de Smyrne 24
4.2. Le temoignage capital de l in Nicomachi arithmeticam 26
4.3. Un temoin archeologique: le carre Sator de Pompei 31
4.4. Carres «magiques» et numeration alphabetique 35
5. Le topos du point et de la ligne reinvente 35
5.1. Fond et forme de l argumentation 36
5.2. Les neologismes de Jamblique 37
5.3. Le raisonnement apagogique de Jamblique 39
5.4. Conclusions et perspectives 40
6. La naissance oubliee du concept de £ero 41
6.1. La gestation grecque du concept de zero 42
6.2. Le concept du «rien» chez Jamblique 44
6.2.1. Le «rien» comme signe d absence d unites 46
6.2.2. Addition et soustraction du «rien» 47
6.2.3. Un nouveau terme avant la Serie des nombres 48
6.2.4. Multiplication du «rien» 49
6.3. L avortement provoque du zero de Jamblique 51
6.4. Conclusions et perspectives 53
7. Pour une nouvelle edition critique 53
7.1. Les editions anterieures 54
7.2. La tradition manuscrite 55
7.3. Un pretendu archetype: le Laurentianus 86,3 (F) 58
7.4. Le Laurentianus 86,29 (L) et ses apographes 60
7.4.1. La BRANCHE du Paris, gr. 2093 60
7.4.2. La BRANCHE DE Y 60
7.5. Les deux Laurentiani: independance de L 62
7.5.1. Deux manuscrits tres differents 62
SOMMAIRE
7.5.2. Endroits OÜ L EST MEILLEUR QUE F
7.5.3. Annotations propres de L
7.6. Stemma codicum
Sigla
TEXTE GREC • TRADUCTION • COMMENTAIRE
IAMBAIXOT XAAKIAEQS THS KOIAHS 2TPIAS liegt Tfjg NlXOfl6.%OV ägidflTjTlxfjs
jamblique de chalcis en ccele-syrie, Sur l arithmetique de Nicomaque
I. De arithmetica
Sur l arithmetique
II. De quantitate per se constante
Sur la quantite en soi
III. De quantitate ad aliquid relata
Sur la quantite relative
IV. De numeris planis et solidis
Sur les plans et les solides
V. De proportionibus
Sur 1 es proportions
62
63
65
66
68
69
76
77
104
105
126
127
170
171
199
Notes complementaires
199
1. Sur l arithmetique (I §1-30)
1.1. Primaute de l arithmetique (I § 1-5) ^
1.2. Eloge de Nicomaque (I § 6-11) ^
1.3 Visee philosophique (I § 12-17)
1.4. Les quatre sciences (I § 18-28)
205
2. Sur la quantite en soi (II § 1-127)
2.1. Le nombre (II § 1-6) 20^
707
2.2. L unite (II S 7-13)
709
2.3. Pair et impair (II § 14-20)
2.4. Le Schema lambdoi de (II § 21-27) 210
2.5. Modes de generation du nombre (II § 28-31) 211
2.6. Le concept du «rien» (II § 32-52) 211
2.7 Le nombre pair: critique d Euclide (II § 53-87) 216
2.8. Le pairement pair (II § 5 5-64) 21 ^
2.9. Le pairement-impair (II § 65-71) 218
2.10. L impairement-pair (II § 72-87) 219
2.11. Le nombre impair (II § 88-109) 221
2.12. Nombres parfaits, deficients et plus-que-parfaits (II § 110-127) 224
3. Sur la quantite relative (III § 1-93) 225
3.1. Egalite et inegalite (III § 3-11) 225
3.2. Le multiple (III § 12-23) 225
3.3. L epimore (III § 24-29) 226
SOMMAIRE 9
3.4. L epimere (III §30-35) 227
3.5. Les relations mixtes (III § 36-71) 229
3.6. Vers 1 introduction musicale (III § 72-93) 231
4. Sur les plans et les solides (IV§ 1-18S) 235
4.1. Le point et la ligne (IV § 4-8) 235
4.2. Les nombres plans (IV § 9-30) 237
4.3. Le Supplement de Thymaridas (IV § 31-57) 239
4.4. Le tableau des polygones (IV § 58-68) 240
4.5. Carres et heteromeques (IV § 69-109) 243
4.6 Etüde du tableau des carres et heteromeques (IV § 110-126) 247
4.7. Eloge de la decade (IV § 127-133) 249
4.8. Autres proprietes du carre (IV § 134-143) 250
4.9. Les nombres lateraux et diagonaux (IV § 144-156) 251
4.10. Les solides (IV § 157-185) 253
5. Sur les proportions (V § 1-124) 258
5.1. La mediete arithmetique (V § 16-29) 259
5.2. La mediete geometrique (V § 30-40) 260
5.3. La mediete harmonique (V § 41-65) 261
5.4. Les medietes 4 ä 6 (V § 66-79) 262
5.5. Les medietes 7 ä 10 (V § 80-92) 262
5.6. La proportion musicale (V § 93-122) 263
INDICES
Index graecitatis 267
1. Nomina 267
2. Mathematica et philosophica 268
Index locorum 335
Index des manuscrits 341
Index des noms 343
Bibliographie 345
|
any_adam_object | 1 |
author | Iamblichus Chalcidensis 250-325 Vinel, Nicolas |
author_GND | (DE-588)118555154 |
author_facet | Iamblichus Chalcidensis 250-325 Vinel, Nicolas |
author_role | aut aut |
author_sort | Iamblichus Chalcidensis 250-325 |
author_variant | i n v nv |
building | Verbundindex |
bvnumber | BV041921913 |
classification_rvk | CD 5635 |
ctrlnum | (gbd)1052436 (ItFiC)2936480 (OCoLC)879593869 (DE-599)BVBBV041921913 |
discipline | Philosophie |
era | Geschichte gnd Geschichte 250-350 gnd |
era_facet | Geschichte Geschichte 250-350 |
format | Book |
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indexdate | 2024-07-10T01:08:23Z |
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isbn | 9788862276160 |
language | French Ancient Greek |
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publishDate | 2014 |
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publishDateSort | 2014 |
publisher | F. Serra |
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series | Mathematica graeca antiqua |
series2 | Mathematica graeca antiqua |
spelling | Iamblichus Chalcidensis 250-325 Verfasser (DE-588)118555154 aut In Nicomachi Arithmeticam introductionem <French & Greek> In Nicomachi Arithmeticam Jamblique ; introduction, texte critique, traduction française et notes de commentaire par Nicolas Vinel Pisa F. Serra 2014 348 S. Ill. 25 cm txt rdacontent n rdamedia nc rdacarrier Mathematica graeca antiqua 3 Includes bibliographical references (p. [345]-348) and indexes Original Ancient Greek text with parallel French translation; introduction and critical matter in French Nicomachus / of Gerasa / Introductio arithmetica Iamblichus / approximately 250-approximately 330 / In Nicomachi Arithmeticam introductionem / Criticism, Textual Iamblichus Chalcidensis 250-325 In Nicomachi arithmeticam introductionem liber (DE-588)4436113-0 gnd rswk-swf Nicomachus Gerasenus ca. 2. Jh. Introductio arithmetica (DE-588)4777355-8 gnd rswk-swf Geschichte gnd rswk-swf Geschichte 250-350 gnd rswk-swf Mathematics, Greek Arithmetic / Early works to 1900 Rezeption (DE-588)4049716-1 gnd rswk-swf Arithmetik (DE-588)4002919-0 gnd rswk-swf (DE-588)4136710-8 Kommentar gnd-content Iamblichus phil. TLG 2023 (DE-2581)TH000001551 gbd Iamblichus Chalcidensis 250-325 In Nicomachi arithmeticam introductionem liber (DE-588)4436113-0 u DE-604 Nicomachus Gerasenus ca. 2. Jh. Introductio arithmetica (DE-588)4777355-8 u Rezeption (DE-588)4049716-1 s Geschichte 250-350 z 1\p DE-604 Arithmetik (DE-588)4002919-0 s Geschichte z 2\p DE-604 Vinel, Nicolas Verfasser aut Mathematica graeca antiqua 3 (DE-604)BV041034329 3 https://www.recensio.net/r/098b8ad95d6e497d969f2ddf55d23253 rezensiert in: Göttinger Forum für Altertumswissenschaft (GFA), 17 (2014), S. 1209-1219 Rezension HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027365421&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Iamblichus Chalcidensis 250-325 Vinel, Nicolas In Nicomachi Arithmeticam Mathematica graeca antiqua Nicomachus / of Gerasa / Introductio arithmetica Iamblichus / approximately 250-approximately 330 / In Nicomachi Arithmeticam introductionem / Criticism, Textual Iamblichus Chalcidensis 250-325 In Nicomachi arithmeticam introductionem liber (DE-588)4436113-0 gnd Nicomachus Gerasenus ca. 2. Jh. Introductio arithmetica (DE-588)4777355-8 gnd Mathematics, Greek Arithmetic / Early works to 1900 Rezeption (DE-588)4049716-1 gnd Arithmetik (DE-588)4002919-0 gnd |
subject_GND | (DE-588)4436113-0 (DE-588)4777355-8 (DE-588)4049716-1 (DE-588)4002919-0 (DE-588)4136710-8 |
title | In Nicomachi Arithmeticam |
title_alt | In Nicomachi Arithmeticam introductionem <French & Greek> |
title_auth | In Nicomachi Arithmeticam |
title_exact_search | In Nicomachi Arithmeticam |
title_full | In Nicomachi Arithmeticam Jamblique ; introduction, texte critique, traduction française et notes de commentaire par Nicolas Vinel |
title_fullStr | In Nicomachi Arithmeticam Jamblique ; introduction, texte critique, traduction française et notes de commentaire par Nicolas Vinel |
title_full_unstemmed | In Nicomachi Arithmeticam Jamblique ; introduction, texte critique, traduction française et notes de commentaire par Nicolas Vinel |
title_short | In Nicomachi Arithmeticam |
title_sort | in nicomachi arithmeticam |
topic | Nicomachus / of Gerasa / Introductio arithmetica Iamblichus / approximately 250-approximately 330 / In Nicomachi Arithmeticam introductionem / Criticism, Textual Iamblichus Chalcidensis 250-325 In Nicomachi arithmeticam introductionem liber (DE-588)4436113-0 gnd Nicomachus Gerasenus ca. 2. Jh. Introductio arithmetica (DE-588)4777355-8 gnd Mathematics, Greek Arithmetic / Early works to 1900 Rezeption (DE-588)4049716-1 gnd Arithmetik (DE-588)4002919-0 gnd |
topic_facet | Nicomachus / of Gerasa / Introductio arithmetica Iamblichus / approximately 250-approximately 330 / In Nicomachi Arithmeticam introductionem / Criticism, Textual Iamblichus Chalcidensis 250-325 In Nicomachi arithmeticam introductionem liber Nicomachus Gerasenus ca. 2. Jh. Introductio arithmetica Mathematics, Greek Arithmetic / Early works to 1900 Rezeption Arithmetik Kommentar |
url | https://www.recensio.net/r/098b8ad95d6e497d969f2ddf55d23253 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027365421&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV041034329 |
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