The Liber mahameleth : A 12th-century mathematical treatise

Front Matter....Pages i-xciii
Incipit liber mahameleth....Pages 1-7
Capitulum de hiis que debent preponi practice arimethice....Pages 8-27
⟨Capitulum de multiplicatione⟩....Pages 28-65
Capitulum de divisione....Pages 66-83
De capitulo multiplicandi in fractionibus....Pages 84-130
Capitulum de agregatione fractionum cum fractionibus....Pages 131-151
Capitulum de minuendo....Pages 152-169
Capitulum de divisione fractionum inter se, sive cum integris sive non....Pages 170-193
Capitulum de inventione radicum, et de multiplicatione et divisione et diminutione et agregatione inter se, et de aliis huiusmodi....Pages 194-220
Incipit pars secunda....Pages 221-223
Capitulum de emendo et vendendo....Pages 224-266
Capitulum de lucris....Pages 267-299
Capitulum de lucro participum....Pages 300-305
Capitulum de divisione secundum portiones....Pages 306-310
Capitulum de massis....Pages 311-315
Capitulum de cortinis....Pages 316-323
Capitulum de linteis....Pages 324-332
Capitulum de molare....Pages 333-344
Capitulum de coquendo musto....Pages 345-355
Capitulum de mutuando....Pages 356-359
Capitulum de conductis....Pages 360-419
Capitulum de varietate mercedis operariorum....Pages 420-429
Capitulum de conducendis vectoribus....Pages 430-447
Capitulum de conducendis incisoribus lapidum....Pages 448-463
Capitulum de impensa olei lampadarum....Pages 464-474
Capitulum de impensa animalium....Pages 475-486
Capitulum de expensa hominum in pane....Pages 487-494
Capitulum de cambio morabitinorum....Pages 495-534
Capitulum de cisternis....Pages 535-542
Capitulum de scalis....Pages 543-566
Item de alio....Pages 567-568
Capitulum de nuntiis....Pages 569-572
Capitulum de alio....Pages 573-577
Translation....Pages 579-579
Beginning of the Book (on) mahameleth....Pages 581-587
Chapter (A–II) on the Premisses necessary for practical arithmetic....Pages 588-604
〈Chapter (A–III) on Multiplication〉....Pages 605-638
Chapter (A–IV) on Division....Pages 639-654
Chapter (A–V) on the Multiplication of fractions....Pages 655-693
Chapter (A–VI) on the Addition of fractions to fractions....Pages 694-710
Chapter (A–VII) on Subtracting....Pages 711-725
Chapter (A–VIII) on the Division of fractions, with or without integers....Pages 726-747
Chapter (A–IX) on the Determination of roots, and on their multiplication, division, subtraction, addition, and other related subjects....Pages 748-775
Beginning of the Second part....Pages 777-779
Chapter (B–I) on Buying and selling....Pages 780-816
Chapter (B–II) on Profits....Pages 817-842
Chapter (B-III) on Profit in partnership....Pages 843-847
Chapter (B–IV) on Division according to portions....Pages 848-851
Chapter (B–V) on Masses....Pages 852-855
Chapter (B–VI) on Drapery....Pages 856-862
Chapter (B–VII) on Linens....Pages 863-870
Chapter (B–VIII) on Grinding....Pages 871-881
Chapter (B–IX) on Boiling must....Pages 882-891
Chapter (B–X) on Borrowing....Pages 892-894
Chapter (B–XI) on Hiring....Pages 895-942
Chapter (B-XII) on the Diversity of workers’ wages....Pages 943-951
Chapter (B-XIII) on Hiring carriers....Pages 952-966
Chapter (B-XIV) on Hiring stone-cutters....Pages 967-978
Chapter (B-XV) on the Consumption of oil by lamps....Pages 979-987
Chapter (B-XVI) on the Consumption by animals....Pages 988-998
Chapter (B-XVII) on the Consumption of bread by men....Pages 999-1005
Chapter (B-XVIII) on the Exchange of morabitini....Pages 1006-1038
Chapter (B–XIX) on Cisterns....Pages 1039-1045
Chapter (B–XX) on Ladders....Pages 1046-1065
Again, (B–XXI) on Another topic....Pages 1066-1067
Chapter (B–XXII) on Messengers....Pages 1068-1070
Chapter (B–XXIII) on Another topic....Pages 1071-1074
Glossary....Pages 1075-1135
Mathematical Commentary....Pages 1137-1137
Book A....Pages 1139-1143
Chapter A–II: Premisses....Pages 1144-1158
Chapter A–III: Multiplication of integers....Pages 1159-1180
Chapter A–IV: Division of integers....Pages 1181-1196
Chapter A–V: Multiplication of fractions....Pages 1197-1233
Chapter A–VI: Addition of fractions....Pages 1234-1254
Chapter A–VII: Subtraction of fractions....Pages 1255-1274
Chapter A–VIII: Division of fractions....Pages 1275-1302
Chapter A–IX: Roots....Pages 1303-1342
Book B....Pages 1343-1344
Chapter B–I: Buying and selling....Pages 1345-1394
Chapter B–II: Profit....Pages 1395-1425
Chapter B–III: Profit in partnership....Pages 1426-1433
Chapter B–IV: Sharing out according to prescribed parts....Pages 1434-1441
Chapter B–V: Masses....Pages 1442-1447
Chapter B–VI: Drapery....Pages 1448-1456
Chapter B–VII: Linen cloths....Pages 1457-1465
Chapter B–VIII: Grinding....Pages 1466-1475
Chapter B–IX: Boiling must....Pages 1476-1491
Chapter B–X: Borrowing....Pages 1492-1494
Chapter B–XI: Hiring workers....Pages 1495-1550
Chapter B–XII: Wages in arithmetical progression....Pages 1551-1562
Chapter B–XIII: Hiring a carrier....Pages 1563-1577
Chapter B-XIV: Hiring stone-cutters....Pages 1578-1591
Chapter B–XV: Consumption of lamp-oil....Pages 1592-1602
Chapter B–XVI: Consumption by animals....Pages 1603-1617
Chapter B–XVII: Consumption of bread....Pages 1618-1628
Chapter B–XVIII: Exchanging moneys....Pages 1629-1662
Chapter B–XIX: Cisterns....Pages 1663-1669
Chapter B–XX: Ladders....Pages 1670-1697
Chapter B–XXI: Bundles....Pages 1698-1699
Chapter B–XXII: Messengers....Pages 1700-1703
Chapter B–XXIII: Mutual lending....Pages 1704-1714
Back Matter....Pages 1715-1734