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Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, is a system of writing numbers using the letters of the Greek alphabet. In modern Greece , they are still used for ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world .
A skeleton key is a 万 能 钥 匙 ("myriad-use key"), [8] the emperor was the "lord of myriad chariots" (萬乘之主), [9] the Great Wall is called 万 里 长 城 ("Myriad-mile Long Wall"), Zhu Xi's statement 月 映 万 川 ("the moon reflects in myriad rivers") had the sense of supporting greater empiricism in Chinese philosophy, [10] and ...
The Ancient Greeks used a system based on the myriad, that is, ten thousand, and their largest named number was a myriad myriad, or one hundred million. In The Sand Reckoner, Archimedes (c. 287–212 BC) devised a system of naming large numbers reaching up to ,
A Greek stadium had a length of 600 Greek feet, and each foot was 16 dactyls long, so there were 9,600 dactyls in a stadium. Archimedes rounded this number up to 10,000 (a myriad) to make calculations easier, again, noting that the resulting number will exceed the actual number of grains of sand.
The following table details the myriad, octad, Ancient Greek Archimedes's notation, Chinese myriad, Chinese long and -yllion names for powers of 10. There is also a Knuth-proposed system notation of numbers, named the -yllion system. [8] In this system, a new word is invented for every 2 n-th power of ten.
So 12:0003,0004;0506,7089 is "twelve byllion, three myriad four myllion, five hundred six myriad seventy hundred eighty-nine." etc. Each new number name is the square of the previous one — therefore, each new name covers twice as many digits. Knuth continues borrowing the traditional names changing "illion" to "yllion" on each one.
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The document is a successful collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions, and covers topics such as Euclidean geometry, geometric algebra, elementary number theory, and the ancient Greek version of algebraic systems.