Probleme der Euklidinterpretation und ihre Bedeutung für die Entwicklung der Mathematik

Folkerts, Menso

doi:10.1111/j.1600-0498.1980.tb00230.x

Cited by 4 publications

(4 citation statements)

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“…Folkerts [11] has shown that nearly all printed gauging manuals of the 16th century were written by teachers of arithmetic, some of whom were also wine gaugers. From this he deduces that prior to the time of Kepler's work, the practice of gauging fell within the domain of the so-called reckoning masters.…”

Section: Were Wine Gaugers Also Arithmetic Teachers?mentioning

confidence: 99%

“…2c) was used during the 16th century. The change rod, judging from Folkerts's bibliography [11], seems to have originated in southern Germany. The first known Dutch manual which explained the construction of the change rod was a book by Willem Raets, edited by Michiel Coignet.…”

Section: Measuring Practice In the 16th Centurymentioning

confidence: 99%

“…As Folkerts [11] has noted, most of the 16th-century gauging manuals originated in Germany, Austria, and the Low Countries. (While some French manuals are known, none has come to light in the British Isles, Italy, or Spain, in spite of the fact that cities in these countries undoubtedly employed wine gaugers.)…”

Section: Introductionmentioning

confidence: 96%

“…In the following section, we describe briefly the mathematical background of the gauging technique, referring the interested reader to [11] for further details. The third section deals with the relationship between the gaugers and the excise office as well as with complaints about the gaugers and with the results of recruiting examinations.…”

Section: Introductionmentioning

confidence: 99%

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Wine gauging in late 16th- and early 17th-century antwerp

Meskens¹

1994

Historia Mathematica

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Renaissance European cities imposed an excise on wine and beer. Wine gaugers were employed to measure the contents of barrels. Antwerp was no exception. It organized competitions to appoint new gaugers. Results of two such competitions are given and show that the results for full barrels were satisfactory. It is also shown that the gaugers' remuneration was not very high, since, most probably, they regarded gauging as a source of extra income. Despite the fact that competitions were held, doubts about the competence of gaugers remained. Some gaugers, Michiel Coignet among them, tried to improve measuring practices. In a second section it is demonstrated, using three approximations for barrels and using infinitesimal calculus, that the gaugers' formula for calculating the volume of a barrel yielded results which were presumably within the measuring errors. This is not the case for their formula for partly filled barrels. © 1994 Academic Press, Inc.In de Renaissance hieven de steden een accijns op wijn en bier. Om de inhoud van de wijnvaten te meten werden wijnroeiers in dienst genomen. Antwerpen was hierop geen uitzondering. Het organiseerde wedstrijden om nieuwe wijnroeiers aan te werven. De resultaten van twee zulke wedstrijden worden besproken en tonen aan dat de metingen voor voile vaten bevredigend waren. Er wordt aangetoond dat het loon van de roeiers laag was zodat ze het waarschijnlijk als bijverdienste beschouwden. Ondanks het feit dat er wedstrijden georganiseerd werden, bleef er twijfel over hun competentie bestaan. Sommige wijnroeiers, zoals Michiel Coignet, probeerden de roeimethoden te verbeteren. In een tweede deel zal aangetoond worden, door gebruik te maken van drie benaderingen, dat de meetresultaten meestal binnen de meetfout lagen. Dit was niet het geval voor gedeeltelijk gevulde tonnen. © 1994 Academic Press, Inc.

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Section: Were Wine Gaugers Also Arithmetic Teachers?mentioning

confidence: 99%

Section: Measuring Practice In the 16th Centurymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations