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The medieval counting table revisited: a brief introduction and description of its use during the early modern period. (English) Zbl 1314.01008

The author summarizes the history of the medieval counting table, used until around 1610 by English upper classes, and remaining in use until the early 18th century by lower classes. Building her own replica and performing sample calculations mostly according to instructions in Robert Recorde’s The grounde of artes, she demonstrates that the four basic arithmetical operations could be performed easily with a practitioner’s manual tacit knowledge built through experience. A method for division is presented, demonstrating that even this challenging task could be completed by those with little formal education.

MSC:

01A40 History of mathematics in the 15th and 16th centuries, Renaissance
01A35 History of mathematics in Late Antiquity and medieval Europe

Biographic References:

Recorde, Robert
Full Text: DOI

References:

[1] Anonymous, An introduction for to lerne to recken with pen or with counters (1539)
[2] Moliere, Le malade imaginaire (1673)
[3] Recorde Robert, The grounde of artes (1543)
[4] Tunstall Cuthbert, De arte supputandi libri quattuor (1522)
[5] Barnard Francis, The casting counter and the counting board (1916)
[6] DOI: 10.1080/17498430902820861 · Zbl 1182.01001 · doi:10.1080/17498430902820861
[7] DOI: 10.1016/0304-4181(77)90038-0 · doi:10.1016/0304-4181(77)90038-0
[8] DOI: 10.1017/S0007087400015375 · Zbl 0358.01003 · doi:10.1017/S0007087400015375
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[10] Polanyi M, The tacit dimension (1967)
[11] Sanford Vera, The European mathematical awakening: a journey through the history of mathematics from 1000 to 1800 (2013)
[12] DOI: 10.1016/0039-3681(94)00036-9 · doi:10.1016/0039-3681(94)00036-9
[13] Sugden K, The Accouting Historians Journal 8 pp 1– (1981)
[14] Thomas Keith, Transactions of the Royal Historical Society 37 pp 103– (1987)
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