# sexagesimal

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## sexagesimal

[¦sek·sə¦jez·ə·məl]
(mathematics)
Pertaining to a multiplicity of 60 distinct alternative states or conditions or, simply, a positional numeration system to radix (or base) 60.
References in periodicals archive ?
In preference to treating the sexagesimal place-value system as the unique Babylonian contribution to world mathematics, Robson insists that we understand it as a tool for temporarily converting numbers to a form allowing them to be used for computation, while results were written using decimal numerals that were never used for calculation.
The last equality is immediate, since division by the base 60 has the effect of moving the sexagesimal point one place to the left.
Unlike the common number system which operates on a base-10, and which is used for other aspects of measurement such as weight, this ancient culture used a sexagesimal system that worked on a base of 60 (see Figure 1).
These frameworks included the alternation and interpenetration of yin and yang; the Five Phases (wuxing) of wood, fire, metal, water, and earth; and the sexagesimal progression of the system of the heavenly stems (tiangan) and earthly branches (dizhi) that mapped out space and time.
Two of his works, written towards the end of his stay in Samarqand, deal with the computation of 2[pi] and the sine of 1[degrees], both fundamental qualities in mathematics, to nine significant sexagesimal fractional digits (equivalent to 16 decimal places).
We get our 60 seconds in a minute and 60 minutes in an hour from the Sumerians' sexagesimal system which counts by 60.
99), which performs fraction and mixed-fraction operations and converts between hexadecimal, binary and sexagesimal.
In connection with Moses' first census, Cassuto has demonstrated that "the numbers given in the Torah are mostly round or symbolic figures" based on the sexagesimal system, supplemented by seven or a multiple of seven.
The metrological tables retain the same order as the metrological lists; however, in the metrological tables each entry is associated with a sexagesimal number.
Like the wind, time and chance distribute this idea of the list up through the ages and across cultures from the first inklings of the idea with the Egyptians and their notion of slope, to the Greeks and their geometry axioms who in Hipparchus and Ptolemy render their lists using Babylonian sexagesimal form, to the Indians who use a hodgepodge of practical calculation tricks to improve their lists, to the Arabs and their algorithms and more lists, and then to the Europeans who render their lists in decimal form.
The division of the hour into 60 minutes and of the minute into 60 seconds comes from the Babylonians who used a sexagesimal (counting in 60s) system for mathematics and astronomy.
By the end of the 3rd millennium there is also evidence for the invention of the sexagesimal place value notational system which allowed for the development of the sophisticated mathematics used by the Babylonian astronomers.

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