MAIN INDEX of the ANCIENT Hellenic Language, as: Mathematical (Astronomical, Geometrical, CosmologicalMythologicalPhilosophical, Musical, Poetic, Architectonic, Rythmical, Esthetical
The earliest numerical notation used by the Greeks was the Attic system. It employed the vertical stroke for a one, and symbols for“5”, “10”, “100”, “1000”, and “10,000”. Though there was some steamlining of its use, these symbols were used in a similar way to the Egyptian system, being that symbols were used repeatedly as needed and the system was non positional. By the Alexandrian Age, the Greek Attic system of enumeration was being replaced by the Ionian or alphabetic numerals. This is the system we discuss. The (Ionian) Greek system of enumeration was a little more sophisticated than the Egyptian though it was nonpositional. Like the Attic and Egyptian systems it was also decimal. Its distinguishing feature is that it was alphabetical and required the use of more than 27 different symbols for numbers plus a couple of other symbols for meaning. This made the system somewhat cumbersome to use. However, calculation lends itself to a great deal of skill within almost any system, the Greek system being no exception. ” Greek Enumeration and Basic Number Formation First, we note that the number symbols were the same as the letters of the Greek alphabet. symbol value symbol value symbol value ! 1 ” 10 # 100 $ 2 % 20 & 200 ‘ 3 ( 30 ) 300 * 4 + 40 , 400 – 5 . 50 / 500 6 0 60 1 600 2 7 3 70 4 700 5 8 6 80 7 800 8 9 90 900 where three additional characters, the (digamma), the (koppa), 1°c 2000, G. Donald Allen Greek Numbers and Arithmetic 2 and the (sampi) are used. Hence, &62 = 287 Larger Numbers Larger numbers were also available. The thousands, 1000 to 9000, were represented by placing adiacritical mark ! before a unit. Thus ! ‘&62 = 3287 In other sources we see the diacritical mark placed as a subscript before the unit. Thus ! ‘&62 = 3287 The uses of a M was used to represent numbers from 10,000 on up. Thus 9! = 50: 000 9″#&62 = 120: 287 Alternatively, depending on the history one reads 9 – = 50: 000 9!% ¢ &62 = 120: 287 Archimedes, in his book The Sand Reckoner, calculated the number of grains of sand to fill the universe”. This required him to develop an extention the power of Greek enumeration to include very large numbers. Fractions In the area of fractions, context was crucial for correctly reading a fraction. A diacritical mark was placed after the denominator of the (unit) fraction. So, $ ! = 1 2 ;<= +$ ! = 1 42 but this latter example could also mean 40 ! ” . More complex fractions could be written as well, with context again being important. The numerator was written with an overbar. Thus, .! 6* = 51 84 Numerous, similar, representations also have been used, with increasing sophistication over time. Indeed, Diophantus uses a fractional form identical to ours but with the numerator and denominator in reversed positions. 2The reader may ask, ”What universe?” It was the universe of Aristarchos the so called ‘ancient Copernicus’ because he proposed a sun centered universe with the earth and other planet orbiting it. More on this later. Greek Numbers and Arithmetic 3 # Calculation The arithmetic operations are complex in that so many symbols are used. However, as you can imagine, addition amounts to grouping and then carrying. For example 5+7= – + 2 = %$ = 12, not terribly unlike what we do. Multiplication was carried out using the distributive law. For example: &62 ¢ $ = (& + 6 + 2) £ $ = (200 + 80 + 7) £ 2 = 400 + 160 + 14 = 574 = /3*
(ALPHA – ΑΛΦΑ = 1 + 30 + 500 + 1 = 532 => 5 + 3 + 2 = 10 => 1 + 0 = 1
EN = 5 + 50 = 55 => 5 + 5 = 10 => 1 + 0 = 1
OMIKRON – ΟΜΙΚΡΟΝ = 70 + 40 + 10 + 20 + 100 + 70 + 50 = 360, as there are degrees of the circle
INDEX:
ΓΡΆΜΜΑ=letter 
ΑΞΊΑ=value 

ΓΡΆΜΜΑ 
ΑΞΊΑ=VALUE 

ΓΡΆΜΜΑ 
ΑΞΊΑ=VALUE 

ΓΡΆΜΜΑ 
ΑΞΊΑ=VALUE 

Α´ 
1 

Ι´ 
10 

Ρ´ 
100 

͵Α 
1000 
Β´ 
2 

Κ´ 
20 

Σ´ 
200 

͵Β 
2000 
Γ´ 
3 

Λ´ 
30 

Τ´ 
300 

͵Γ 
3000 
Δ´ 
4 

Μ´ 
40 

Υ´ 
400 

͵Δ 
4000 
Ε´ 
5 

Ν´ 
50 

Φ´ 
500 

͵Ε 
5000 
Ϛ´ 
6 

Ξ´ 
60 

Χ´ 
600 

͵Ϛ 
6000 
Ζ´ 
7 

Ο´ 
70 

Ψ´ 
700 

͵Z 
7000 
Η´ 
8 

Π´ 
80 

Ω´ 
800 

͵H 
8000 
Θ´  9  Ϟ´  90  Ϡ´  900  ͵Θ  9000 
A vast knowledge lockedcoded into words because of mathematical values they have. One of the pioneers on the matter was maximum Pythagoras.
The numbers, shapes, harmony and the stars have something in common, so respectively mathematics (numbers) geometry (shape), harmony (music) and astronomy (one star = achoris bracket + natural nomoipou govern ) were sisters sciences by Pythagoras, which in this series we discussed was the ladder to development (= ex tou helix, DNA) of mindsoul to the Creator.
A Creator who created based on these four disciplines. 27 symbolsfigures in numerical value make up the Greek Alphabet, 3 groups of 9 numberssymbols each group, totaling each group 45, 450, 4,500.
ALPHA = 1 + 30 + 500 + 1 = 532 => 5 + 3 + 2 = 10 => 1 + 0 = 1
EN = 5 + 50 = 55 => 5 + 5 = 10 => 1 + 0 = 1
OMIKRON = 70 + 40 + 10 + 20 + 100 + 70 + 50 = 360, as there are degrees of the circle
To be able to understand the meanings of the concepts of words of ancient Greek tongue should first know a little about the actual Greek language.
The ancient Greek language is the only one that is not based on the fact that some people just sit and agreed to call an object “x” or “y” as all other sterile world languages. The ancient Greek language is aMATHEMATICAL MASTERPIECE that wè`ll try to approach.
The beginning of everything is the same as theAncient Greek alphabet (which of course we did not get it from someone else as we shall see, because factually not possible). The letters of the Greek alphabet as a whole was 33 and as many vertebrae,the last five vertebrae (playing the role of the antenna) directly related to the brain and corresponding to the last 5 ineffable letters which only the priests knew * one of them It was the right (or Gammadion) which in Latin became swstika and the Nazis stole and name Swastika. This symbol is the lifegiving Sun (Apollo), the Nazis reversed it to symbolize the opposite of lifegiving Sun, ie dark death.
There were also some letters which over time abolished as Digamma (F, Qoppa (Q), stigma (S ‘), Saba (ϡ)
The J.P.Garnier Malet says: “The letters of the Greek alphabet is a passage of time that delete atoms, stars and galaxies.
On the farthest times people communicated through thought, and when at some point had to hide the truth were applying the writing. “
The main view of the lecture was to photograph Mexican old inscription 22,500 years on a stone found in lava layer at a depth of 19 meters, on which appear uppercase and lowercase Greek letters and numbers dispelling the theory Indoefropaismou of Phoenician origin letters, and numbers of Arab origin.
Pythagoras inform us about the 3 levels of Greek language which are: