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Topic: Greek numbers


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In the News (Thu 31 Dec 09)

  
  Greek Numbers and Arithmetic
By the Alexandrian Age, the Greek Attic system of enumeration was being replaced by the Ionian or alphabetic numerals.
The (Ionian) Greek system of enumeration was a little more sophisticated than the Egyptian though it was non-positional.
First, we note that the number symbols were the same as the letters of the Greek alphabet.
www.math.tamu.edu /~dallen/history/gr_count/gr_count.html   (383 words)

  
 Greek
Ancient Greek was spoken in Greece, on Crete and Cyprus, in parts of the eastern Mediterranean and western and northern Anatolia, on Sicily and in southern Italy, on the northern Black Sea coast, and sporadically along the African coast and the French Riviera.
Modern Greek is the language of about 9,340,000 people in Greece and the Greek islands and about 480,000 on Cyprus; it is also spoken in isolated villages of Turkey, Sicily, and southern Italy, and in many areas throughout the world to which Greeks have immigrated, notably Australia and North America.
The principal changes that distinguish modern Greek are superseding of pitch-accent by stress; further iotacism of vowels; transforming the voiced plosives b and d to the voiced fricatives v and dh; loss of modal particles; and less variable word order because of replacement of pitch-accent by stress.
thor.prohosting.com /~linguist/greek.htm   (2420 words)

  
 The thought that counts
Number seemed somehow to underlie reality: all collections of three objects were united by their 'threeness'.
To the Greeks, the number one corresponded to a point, and two to a line; three points defined a triangle, the simplest plane figure; four points defined a tetrahedron, the simplest space-occupying form.
Each number had a certain significance attached to it; broadly, the Pythagoreans believed that the world was composed of a series of ten pairs of opposite corresponding to oddness or evenness in numbers - limited/unlimited, right/left, male/female, and so on.
members.fortunecity.com /templarser/number3.html   (2749 words)

  
 Greek Numbers - Great UK Deals
Greek number system we examine is their acrophonic system which was use in the first millennium BC.
numbers, such as the number of grains of sand on a beach, and the number of...
Greek alphabetic numerals were favoured by the mathematician and physicist...
www.findspot.com /greek-numbers.htm   (191 words)

  
 Greek For Euclid I
Greek was the international language of the classical world, and a standard Greek, called the koine, 'common', was understood by all educated people, who continued to use their local languages, such as Latin.
Greek is a living language, and has a modern pronunciation that has evolved from older ones.
The letters of the alphabet are used to represent ordinal numbers in Greek, with α = 1, β = 2, and so on, up to θ = 9, including a strange letter for 6, the stigma, which originally represented s + t, but was dropped in the reform of the alphabet.
www.du.edu /~etuttle/classics/nugreek/lesson1.htm   (2358 words)

  
 Dave Leigh - Greek Alphabet
Greek letters are commonly used today not only science and mathematics, but also as the alphabet of choice for several of the world's languages, such as Russian (and of course Greek!).
The Greek alphabet was the basis of the later Roman (via the Etruscan variation) and Runic alphabets (compare them yourself!).
The earliest Greek inscriptions were written right to left, as were the Semitic writings from which this alphabet descended.
www.cratchit.org /dleigh/alpha/greek/greek.htm   (604 words)

  
 BBC NEWS | Science/Nature | Greeks 'borrowed Egyptian numbers'
New research suggests the Greeks borrowed their system known as alphabetic numerals from the Egyptians, and did not develop it themselves as was long believed.
Greek alphabetic numerals were favoured by the mathematician and physicist Archimedes, the scientific philosopher Aristotle and the mathematician Euclid, amongst others.
Greek merchants may have seen the demotic system in use in Egypt and adapted it for their own purposes.
news.bbc.co.uk /2/hi/science/nature/3109806.stm   (404 words)

  
 Greek numbers
Today the number 2 is applied to any collection of two objects and 2 is thought of as an abstract property that all such collections of two objects have in common.
The numbers between 1000 and 9000 were formed by adding a subscript or superscript iota to the symbols for 1 to 9.
Of course writing a large number above the M was rather difficult so often in such cases the small numeral number was written in front of the M rather than above it.
www-groups.dcs.st-and.ac.uk /~history/HistTopics/Greek_numbers.html   (1648 words)

  
 Introduction to Arithmetic: Numbers and History of Numbers
Many cultures throughout history have represented numbers by repetitions of a vertical or horizontal stroke, 1 by one stroke, 2 by two strokes, etc. In various forms of speech the number five is expressed by the word "hand" or "the hand finished", and ten by "two hands" or "two hands finished".
The numerical notation for small numbers was quite simple; one was represented by a short, straight, vertical stroke, or wedge, two to nine by two to nine short strokes, 10 by an angle, and 100 by a short vertical wedge followed by a short horizontal wedge (see Diagram 4).
A number of civilizations have used the letters of their alphabets for numerical symbols, taking the first letter for 1, the second for 2, the tenth for 10, the eleventh for 20, and so forth.
www.geocities.com /mathfair2002/school/arit/arithm1.htm   (3743 words)

  
 Greek numbers
The first Greek number system we examine is their acrophonic system which was use in the first millennium BC.
Today the number 2 is applied to any collection of two objects and 2 is thought of as an abstract property that all such collections of two objects have in common.
Of course writing a large number above the M was rather difficult so often in such cases the small numeral number was written in front of the M rather than above it.
www-gap.dcs.st-and.ac.uk /~history/HistTopics/Greek_numbers.html   (1648 words)

  
 [No title]
Besides writing modern Greek, today its letters are used as mathematical symbols, particle names in physics, as names of stars, in the names of fraternities and sororities, in the naming of supernumerary tropical cyclones, and for other purposes.
The Greek alphabet originated as a modification of the Phoenician alphabet and in turn gave rise to the Gothic, Glagolitic, Cyrillic, Coptic, and possibly the Armenian alphabets, as well as the Latin alphabet, as documented in History of the alphabet.
The Greek alphabet is unrelated to Linear B and the Cypriot syllabary, earlier writing systems for Greek.
www.lycos.com /info/greek-alphabet.html   (521 words)

  
 Greek numbers
Today the number 2 is applied to any collection of two objects and 2 is thought of as an abstract property that all such collections of two objects have in common.
We know that the ancient Greeks had a somewhat different idea because the numbers were used in slightly different forms depending to what the number referred.
The numbers between 1000 and 9000 were formed by adding a subscript or superscript iota to the symbols for 1 to 9.
www.gap-system.org /%7Ehistory/HistTopics/Greek_numbers.html   (1648 words)

  
 Ancient Greek Mathematics - History for Kids!
Instead, Greek mathematicians were more focused on geometry, and used geometric methods to solve problems that you might use algebra for.
Greek mathematicians were also very interested in proving that certain mathematical ideas were true.
History of Greek Mathematics: From Aristarchus to Diophantus, by Thomas L. Heath (1921, reprinted 1981).
www.historyforkids.org /learn/greeks/science/math/index.htm   (337 words)

  
 Proofs and Pythagoras - Greek Mathematics
The Greeks were the first people of the ancient world who systematically studied geometry, which is the study of the size and shape of an object.
The Greek alphabet had twenty-seven letters, so the first nine letters represented the digits 1 through 9; the second nine letters represented the tens, and the last nine letters represented the hundreds.
Some numbers were evil, while other numbers were friendly or even sacred.
www.edhelper.com /ReadingComprehension_35_195.html   (420 words)

  
 KATERINA SARRI WEBTOPOS - GREEK LANGUAGE and ALPHABET
«It was greek to me...» exclaims Casca in Shakespeare's 'Julius Caesar'.
The greek alphabet is born: 8th century B.C.E. The earliest inscriptions are of c.725 B.C.E. We still use the northsemitic letter names -slightly changed- (alpha from 'aleph, beta from bet, etc.), although we are not aware of their original semitic meaning.
Apart from common neohellenic greek and various local idioms which are easily understood, there are a few surviving greek dialects of modern times that flourished in places that, being quite isolated from the mainstream language evolution, produced a distinct greek dialect.
users.otenet.gr /~bm-celusy/greek.html   (2610 words)

  
 CHAPTER 1 History of Numbers
In the Ionic Greek numbering system, the ordinary Greek alphabet of 24 letters was used and 3 Phoenician letters were added to come up with the following numerals (see Figure 1.3.1).
For larger numbers an accent mark (,) was placed to the left and below the appropriate unit letter to indicate multiplication by 1,000.
Where the Greek alphabetic numeral for 800 was a single symbol (omega), the Egyptian hieroglyphics would have had to use eight symbols of the coil of rope.
mathematics.gulfcoast.edu /mgf1107ll/Chap1Sec3Lesson2.htm   (509 words)

  
 Coins of Time - Ancient Greek and Roman Coins
Although Greek numerals are not difficult to understand some highly educated scholars have fallen victim to certain profound misunderstandings of the true nature and representations of these numerals.
Greek numbers were based on the Greek alphabet which has 24 characters.
However, in order to represent numbers up to 999 (there was no zero in Greek), the Greeks needed 27 characters.
www.coinsoftime.com /Ancient_Greek_Numerals.htm   (598 words)

  
 Numbers
Following is a list of the Greek names for the numbers and the adjectives that denote order.
The numbers are not conjugated with the exeption of 1, 3 and 4.
The ordinal numbers are adjectives and are presented in their masculine form.
www.greece.org /gr-lessons/gr-english/numbers.html   (91 words)

  
 Search: Greek Numbers
Learning the number system is an important part of getting acquainted with Greek.
Greek world examples of a reversed or mixed order in the...
Greek words and phrases for travellers to Greece.
www.valentine.com /webmkt.valent/search/web/Greek%2BNumbers/-/-/1/-/-/-/1/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/-/302349/right   (116 words)

  
 Greek numbers
The first Greek number system we examine is their acrophonic system which was use in the first millennium BC.
The different units of currency were denoted by modifying the notation for the units in the number.
Using this system Archimedes calculated that the number of grains of sand which could be fitted into the universe was of the order of the eighth octet, that is of the order of 10
www-history.mcs.st-andrews.ac.uk /history/HistTopics/Greek_numbers.html   (1648 words)

  
 Mathematics Magazine
This meant that they each had their own currency, weights and measures etc. These in turn led to small differences in the number system between different states since a major function of a number system in ancient times was to handle business transactions.
The first Greek number system we examine is their acrophonic system which was use in the first millennium BC.
The number 9999 would require 36 symbols in such a system and this is very cumbersome.
www.mathematicsmagazine.com /NumberSystems/Greeknumbersystems.htm   (286 words)

  
 GREEK NUMBERS
greek numbers, and a great deal supplementary information is available.
Visit www.greece-facts.com, and find additional information regarding not only greek numbers, but also Don't Miss and Athens.
Additionally, www.greece-facts.com will Clue you in about greek numbers and the entire location in the region of Greece and greek numbers.
www.greece-facts.com /Greece-Travel-Activities/greek-numbers.html   (116 words)

  
 Greek-American Oral Histories: Timeline
While early immigrants and their families worked hard to establish themselves and create Greek American communities, the number of Greeks who immigrated to America dramatically decreased in the 1920's due to a shift in American immigration laws.
It should be noted that it is very difficult to determine exact numbers of Greek immigrants because many of them were expatriated Greeks who came to the United States from Turkey.
In 1965 the number of Greek immigrants began to increase, as a result of the 1965 Immigration Act which ended the national-quota system and gave preference to family members wishing to be reunited with those already in America.
chnm.gmu.edu /greekam/timeline.html   (588 words)

  
 Greek culture needs change - Opinion
To some it may seem that Greek life is spinning radically out of control, but an inside analysis may help to clear up some issues and get the Greeks back on track.
To highlight some of the benefits of joining a Greek organization, there are the obvious ties of a lifelong bond of friendship to the members of each house, as well as being able to identify with any member from across the nation who wears the same Greek letters.
Greek organizations do have traditions of giving back to the community that they came from as well, donating $84,000 and 26,000 hours of community service back to Potsdam and the local area since 2001.
media.www.clarksonintegrator.com /media/storage/paper280/news/2007/02/26/Opinion/Greek.Culture.Needs.Change-2744026.shtml   (619 words)

  
 Ancient Greek Mathematics
A characteristic Greek discovery that the square root of 2 is not a rational number is for me one of the best examples that Greeks were interested in true science.
, Greek Geometry from Thales to Euclid (Conics)
and Is the Number of the Beast 666 or 616 ?
www.mlahanas.de /Greeks/GreekMathematics.html   (834 words)

  
 Math Lair - Greek Ionic Numbers
Ionic numbers were used in Europe until the tenth century, when they were supplanted by Roman numerals.
This system used the 24 letters in the Greek alphabet, as well as three other symbols: the digamma, which represented 6, the koppa, which represented 90, and the sampi, which represented 900.
It was not until the Arabic number system was introduced into Europe that it was possible to do calculations on paper rather than on counting boards.
www.stormloader.com /ajy/ionic.html   (365 words)

  
 The GREEKSHOP Sewn-On Letters
Note: Protocol dictates that the Greek letters of an organization's name should be placed on the LEFT side of the garment (i.e.: jacket, jersey, etc.), as they take precedence over the words, the crest, or any other symbol.
As a general rule, the organization was in existence before a crest was designed and the organization's meaning is in the letters; therefore, the Greek letters must be placed in a position of reverence -- on the left side closest to the heart.
Greek letters, name, or insignia of particular fraternal organizations are not necessarily being sold under a license or other sponsorship from those organizations, and the manufacture and/or sale of products contained herein does not necessarily indicate approval by a national or local organization.
www.thegreekshop.com /letters.html   (466 words)

  
 Overview of the Greek Language to Help You Learn Greek
Greek was the first alphabet to use letters for both consonants and vowel sounds: before that, only the consonants were written.
And where English uses a comma to divide large numbers, Greek uses a period: the number 256,342,781 is written as 256.342.781.
Greek nouns decline (change form) according to case (nominative, accusative, genitive, and vocative) and number (singular and plural).
www.transparent.com /languagepages/greek/overview.htm   (740 words)

  
 ASCSA New Greek Telephone Numbers   (Site not responding. Last check: )
This 6 remains attached to the number even when the country code for Greece (30) is prefixed.
numbers have replaced the initial 0 (zero) of their ten digit numbers with a 2 (two).
This 2 remains attached to the number even when the country code for Greece (30) is prefixed.
www.ascsa.edu.gr /news/new_num.htm   (115 words)

  
 Ancient Greek Science and Technology   (Site not responding. Last check: )
The Greeks actually used their local group names such as Athenians, Macedonians, Spartans, etc. The division of Greece in city state probably was a reason for the success, because each city state had its own specific culture and political system, it was not a monolithic block.
In the Genesis the Greeks are the descendants of Yavan the son of Noah's son Japheth.
Greeks knew that the Earth is round, some even developed a heliocentric model, the dimensions and distances of the Earth and planets have been measured with the best accuracy that is possible without advanced instruments that were available only later than 1600 AD.
www.mlahanas.de /Greeks/Greeks.htm   (5502 words)

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