sexagesimal

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sexagesimal
sexagesimal, a. and n. (sɛksəˈdʒɛsɪməl) [ad. med.L. sexāgēsimālis, f. L. sexāgēsimus (see next).] A. adj. Proceeding by sixties; esp. pertaining to, involving, or based upon division into sixty equal parts (as seconds and minutes). sexagesimal arithmetic, a method of computation based on the number ... Oxford English Dictionary
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Sexagesimal
For example the largest sexagesimal digit is "59". Thus, a measurement of time such as 3:23:17 can be interpreted as a whole sexagesimal number (no sexagesimal point), meaning . wikipedia.org
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Canon Sinuum (Bürgi)
The Canon Sinuum was a historic table of sines thought to have given the sines to 8 sexagesimal places between 0 and 90 degrees in steps of 2 arc seconds largest trigonometrical table actually contained in the Fundamentum Astronomiae is a table giving the sines for every minute of the quadrant and to 5 to 7 sexagesimal wikipedia.org
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YBC 7289
One side of the square is labeled with the sexagesimal number 30. The diagonal of the square is labeled with two sexagesimal numbers. The same sexagesimal approximation to , 1;24,51,10, was used much later by Greek mathematician Claudius Ptolemy in his Almagest. wikipedia.org
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Exact arctangent of product of tangents > Calculate $x$, if $$\tan(x)=\tan9\tan69\tan33$$ (Using sexagesimal degrees) Since $\tan3x=\tan(60-x)\tan x \tan(60+x)$: \begin{align*} \tan27&=\tan69\tan9\tan51\\\ \implies\t...
$$ \tan(x)=\tan(9)\tan(69)\tan(33) $$ $$ \tan(x) = \frac{\tan(39)\tan(3)}{\tan(9)} $$ Thus, $$ \tan^2(x) = \tan(3)\tan(33)\tan(39)\tan(69) $$ $$ \tan^2(x) = \tan(3)\tan(3-36)\tan(3-72)\tan(3+36) $$ $$ \tan^2(x)\tan(75) = \tan(3-72)\tan(3-36)\tan(3)\tan(3+36)\tan(3+72) $$ I will now show that , $$ \t...
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60
60 may refer to: 60 (number) one of the years 60 BC, AD 60, 1960, 2060 Neodymium, the 60th element <, the ASCII character with code 60 Base 60 (sexagesimal wikipedia.org
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why the ancient aztecs used the cuneiform system
The Babylonians used a sexagesimal positional numeral system inherited from either the Sumerian or the Akkadian civilizations.
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Degree (angle)
One sixtieth of this, using their standard sexagesimal divisions, was a degree. Eratosthenes used a simpler sexagesimal system dividing a circle into 60 parts. wikipedia.org
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Babilonic notation to decimal notation. Example $1;12 \cdot 15$ I'm currently working in a program that convert numbers in babilonic notation into decimal numbers. The problem I have is that the example and requiremen...
I presume the ";" separates base-60 digits, and the "$\cdot$" is the analog of a decimal point, so $1;12\cdot 15$ stands for $1 \times 60 + 12 + 15/60$, which indeed is $72.25$ in decimal notation. More generally, $$ a_k; a_{k-1}; \ldots ; a_0 \cdot a_{-1} ; a_{-2}; \ldots a_{-m} = \sum_{j=-m}^{k} 6...
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Ancient Mesopotamian units of measurement
Sexagesimal System S used to count slaves, animals, fish, wooden objects, stone objects, containers. Sexagesimal System S' used to count dead animals, certain types of beer Bi-Sexagesimal System B used to count cereal, bread, fish, milk products Bi-Sexagesimal wikipedia.org
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Plimpton 322
Moreover, the three sides all have finite sexagesimal representations. finite sexagesimal representations. wikipedia.org
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Babylonian cuneiform numerals
famous for their astronomical observations (Observations of the sky), as well as their calculations (aided by their invention of the abacus), used a sexagesimal These digits were used to represent larger numbers in the base 60 (sexagesimal) positional system. wikipedia.org
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