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Alexander von Humboldt: „On the Systems of Numerical Signs used by different Nations, and on the Origin of the Expression of Value by Position in the Indian Numbers“, in: ders., Sämtliche Schriften digital, herausgegeben von Oliver Lubrich und Thomas Nehrlich, Universität Bern 2021. URL: <https://humboldt.unibe.ch/text/1829-Ueber_die_bei-3-neu> [abgerufen am 06.12.2024].
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| Titel | On the Systems of Numerical Signs used by different Nations, and on the Origin of the Expression of Value by Position in the Indian Numbers | ||||
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| Jahr | 1830 | ||||
| Ort | Edinburgh | ||||
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Nachweis in: The Edinburgh Journal of Natural and Geographical Science 2 (August 1830), S. 388–389.
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| Sprache | Englisch | ||||
| Typografischer Befund | Antiqua; Auszeichnung: Kursivierung. | ||||
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Über die bei verschiedenen Völkern üblichen Systeme von Zahlzeichen und über den Ursprung des Stellenwerthes in den indischen Zahlen (Berlin, 1829, Deutsch) |
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On the Systems of Numerical Signs used by different Nations, and on the Origin of the Expression of Value by Position in the Indian Numbers (London, 1830, Englisch) |
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On the Systems of Numerical Signs used by different Nations, and on the Origin of the Expression of Value by Position in the Indian Numbers (Edinburgh, 1830, Englisch) |
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Des systèmes de chiffres En usage chez différents peuples, et de l’origine de la valeur de position des chiffres indiens. Mémoire lu à l’Académie des Sciences de Berlin, le 2 mars 1829 (Paris, 1851, Französisch) |
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De los sistemas de cifras usados por diferentes pueblos, y del origen del valor de posicion de las cifras indias. = Memoria leida en la Academia de Ciencias de Berlin el 2 de marzo de 1829, traducida del aleman por Woepcke (Madrid, 1853, Spanisch) |
|388|
—QuarterlyJourn. of Science, June 1830.
In this learned and interesting essay, which was read in a class session ofthe Royal Academy of Sciences in Berlin, we find the following addi-tional information on the numerical signs of the Muyscas, to which wehave alluded in a notice on the Asiatic origin of the tribes inhabitingthe uplands of Bogota:—
“In the Chibcha language of the Muyscas, (who, like the inhabitants
ofJapan and of Thibet, had an ecclesiastical and a laical chief; and
whosemethod of intercalating the 37th month, like the inhabitants of
NorthIndia, has been published and explained by me,) 11, 12, 13, are
calledfoot one (quihieha ata,) foot two (quihieha bosa,) foot three
(quihiehamica,) from quihieha or quhieha (foot,) and the first three
unities, ata,bozha or bosa, and mica. The arithmetical signification of foot is ten,because the foot begins to be taken
into account, when both hands arepassed through. To express twenty, the
Muyscas use in their arithme-tical lauguage the expression foot ten, or the small house (gueta,)
perhapsbecause they used, in counting, grains of maize, and such a heap
of|389|maize reminded them of the barn, where
maize was laid up. By meansof the expression small
house (or barn,) and twenty (both feet and hands)they formed the
expressions for 30, 40, 80, by joining them together, as,twenty plus ten;
twice twenty; four times twenty. Quite similar arethe Celtic expressions
which have passed into the languages of Romanorigin, as, quatre vingt,
and quinze vingt, or those more rarely met with,as six vingt, sept vingt,
huit vingt. Deux vingt and trois vingt are notused in French; but in the
Gaelic or Celtic dialect of West Britany,through which I passed a few
years ago, twenty is called ugent, fortydaou-ugent, or two twenty; sixty tri-ugent,
or three twenty. It is evensaid deh ha nao ugent,
or ten over nine twenty = 190.”
On the Systems of Numerical Signs used by different Nations,and on the Origin of the Expression of Value by Position in theIndian Numbers. By Alexander von Humboldt.