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1
Greek Science of the Hellenistic Era: A Sourcebook
... myriads of fourth-order numbers be called a monad of fifth-order numbers [from
10" to 1040], and let the process continue in this way until the labels reach myriad
-myriad times a myriad myriads [the myriad-myriadth order: io800000000].
Georgia L. Irby-Massie, Paul T. Keyser, 2013
2
Mathematics in Civilization
The Period = PU,H = [ ( 10s) 1(»8] 108 which Archimedes calls "a myriad-
myriadth unit of the myriad-myriadth order of the myriad-myriadth period" (see
Heath's Greek Mathematics [40]). Archimedes did not use symbolic notation for
these large ...
H. L. Resnikoff, Raymond O'Neil Wells, 1973
3
A History of Greek Mathematics
The last number is described by Archimedes as a ' myriad-myriad units of the
myriad-myriadth order of the myriad-myriadth period (at pvpLaKto-Irvaa'rds'
neptédov pvplakto'pvpioo-réiu lipid/163V piipwu nvaides') '. This system was,
however, ...
4
The Greek World After Alexander 323–30 BC
Hampered not in the slightest by the lack of a modern numerical notation, he
devises a system for expressing this number economically in words: 'a myriad
myriad units of numbers of the myriad myriadth order91 of the myriad myriadth
period' ...
5
The Nothing that Is : A Natural History of Zero: A Natural ...
... the process continue up to a myriad-myriad units of the myriad-myriadth order
of the myriad-myriadth period (at uvoiaxionajQioaTac, jteoioSov |At>Qicoua|xi)
QioaT<»v aoi6|itbv |ii)Qiag u*)Qi&6ag) - or in our notation, up to io8°.M°.°°w°°»-°°
° .
Robert Kaplan Instructor in Mathematics Harvard University (Emeritus), 1999
6
A Manual of Greek Mathematics
Further periods are developed in this way up to the 105th period, the 105th order
of which ends with the number P'°' or (10'-'°')'°', which is described by Archimedes
as 'a myriad-myriad units of the myriad-myriadth order of the myriad-myriadth ...
Sir Thomas Little Heath, 1931
7
Eureka Man: The Life and Legacy of Archimedes
Archimedes terms this number a “myriad-myriads of the unit of the myriad-
myriadth order.” At this point, King Gelon's head must have been spinning. Yet, in
characteristic fashion, Archimedes plows ahead. He defines his last-named
number ...
8
East Asian Science, Technology, and Medicine
He continues through numbers of the fourth (1024 to 1052) and fifth orders (I032
to 10*') to the myriad-myriadth order of numbers, ending with a myriad myriads
taken a myriad-myriad times (uupiaKionupiooTciv apiBuciv Hupias nupiaSas) or I
...
Scott MacEachern Bowdoin College Brunswick, Maine Myriad myriadth Mike
Holderness is right to say that in ... notation, he had to express this as "a myriad
myriad units of numbers of the myriad myriadth order of the myriad myriadth
period".
10
The Penguin Dictionary of Curious and Interesting Numbers
He continues on his gigantic construction until he reaches 'a myriadmyriad units
of the myriad-myriadth order of the myriad-myriadth period'. The highest number
in his notation would now be expressed as 10 80,000,000,000,000,000 . He next
...
