The Ciphers of the Monks: A Forgotten Number-notation of the Middle AgesThis is the first comprehensive study of an ingenious number-notation from the Middle Ages that was devised by monks and mainly used in monasteries. A simple notation for representing any number up to 99 by a single cipher, somehow related to an ancient Greek shorthand, first appeared in early-13th-century England, brought from Athens by an English monk. A second, more useful version, due to Cistercian monks, is first attested in the late 13th century in what is today the border country between Belgium and France: with this any number up to 9999 can be represented by a single cipher. The ciphers were used in scriptoria - for the foliation of manuscripts, for writing year-numbers, preparing indexes and concordances, numbering sermons and the like, and outside the scriptoria - for marking the scales on an astronomical instrument, writing year-numbers in astronomical tables, and for incising volumes on wine-barrels. Related notations were used in medieval and Renaissance shorthands and coded scripts. This richly-illustrated book surveys the medieval manuscripts and Renaissance books in which the ciphers occur, and takes a close look at an intriguing astrolabe from 14th-century Picardy marked with ciphers. With Indices. "Mit Kings luzider Beschreibung und Bewertung der einzelnen Funde und ihrer Beziehungen wird zugleich die Forschungsgeschichte - die bis dato durch Widerspruechlichkeit und Diskontinuit t gepr gt ist - umfassend aufgearbeitet." Zeitschrift fuer Germanistik. |
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Содержание
Acknowledgements | 20 |
II | 28 |
The English ciphers | 49 |
On the Greek origin of the Basingstoke ciphers | 57 |
The ciphers as letters of the alphabet the late12thcentury English | 66 |
Ciphers similar to the Basingstoke ciphers in medieval Arabic | 72 |
The Basingstoke ciphers at the hands of the Cistercians | 82 |
The demise of the Basingstoke ciphers | 89 |
106 | 352 |
F Aspects of medieval astronomy | 355 |
H On medieval European astronomical instruments | 364 |
J The quatrefoil on medieval astrolabe retes | 380 |
108 | 382 |
K Astronomical instrumentation in Northern France in the 14th century | 391 |
The textual tradition | 396 |
Jean Fusoris and his workshop | 397 |
27 | 130 |
The astrolabe of Berselius | 131 |
32 | 143 |
49 | 149 |
The French vertical ciphers in manuscript sources | 152 |
Ciphers in astronomical and astrological tables | 160 |
51 | 161 |
Vertical ciphers used as letters of the alphabet | 171 |
56 | 173 |
63 | 189 |
66 | 221 |
95 | 232 |
100 | 237 |
The ciphers falling between the cracks of modern scholarship | 262 |
102 | 270 |
Appendix A General bibliographical notes | 275 |
B The survival of the Roman numerals in medieval Europe | 281 |
103 | 290 |
D The introduction of the HinduArabic numerals in Europe | 309 |
E Sundry numeral notations and symbols in medieval and later sources | 318 |
Three astronomical instruments related to the Picard astrolabe with ciphers | 398 |
L The Picard astrolabe with monastic ciphers | 406 |
The stars on the rete | 408 |
The names of the zodiacal signs and the months | 410 |
The plates and the latitudes they serve | 411 |
The calendrical scale | 416 |
The alidade radial rule and nut and bolt | 419 |
The Virgin of Berselius | 420 |
112 | 426 |
N Nonhistorical reflections on the ciphers | 427 |
On the morphology and aesthetics of the ciphers | 428 |
Ciphers to bases other than 10 | 429 |
Arithmetic with ciphers | 432 |
Manuscripts cited | 435 |
Astronomical instruments cited | 438 |
Bibliography and bibliographical abbreviations | 442 |
Indexes | 502 |
505 | |
Часто встречающиеся слова и выражения
14th-century addition Agrippa alphabet already appear appendages Appendix Arabic astrolabe astronomical attested basic Basingstoke bear Berselius Bischoff Bruges Catalogue century chiffres ciphers Cistercian collection contains copied corresponding courtesy dated dealing detailed discussed document early English especially Europe European example Exhibition fact figures forms four France French German Greek hand Hindu-Arabic horizontal idem illustrated inscriptions interest Islamic Italy John King known late Latin latitudes least letters Library listed literature London magical manuscript marks mathematics medieval mentioned Middle Ages monastic Museum names notation origin Oxford Paris Photo Picard plates position presented printed probably published quatrefoil recently reference represent rete Roman numerals scale Science script shorthand shows signs sources standard symbols tables tion treatise Type various vertical ciphers write written Zahlzeichen
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