математикийн ухаан
Monday, December 7, 2015
Лекцийн слайд
Математикийн ухааны хичээлийн лекцийн слайдыг дор сайтаас олж болно.
http://slideshare.net/luvsandorjts
Greek and Latin alphabet
Greek and Latin alphabet
It has been acknowledged that
below texts were downloaded from the http://www.britannica.com/topic/Greek-alphabet
for learning and teaching purpose.
Greek alphabet, writing system that was
developed in Greece about 1000 bc. It is the direct or indirect ancestor of all
modern European alphabets. Derived from the North Semitic
alphabet via that of the Phoenicians, the Greek alphabet was
modified to make it more efficient and accurate for writing a non-Semitic language by the addition
of several new letters and the modification or dropping of several others. Most
important, some of the symbols of the Semitic alphabet, which
represented only consonants, were made to represent vowels: the Semitic
consonants ʾalef, he, yod, ʿayin, and vav became the Greek letters alpha,
epsilon, iota, omicron, and upsilon, representing the vowels a,e,i,o, and u,
respectively. The addition of symbols for the vowel sounds greatly
increased the accuracy and legibility of the writing system for non-Semitic
languages.
Before the 5th century bc the Greek alphabet could be
divided into two principal branches, the Ionic (eastern) and the Chalcidian
(western); differences between the two branches were minor. The Chalcidian
alphabet probably gave rise to the Etruscan alphabet
of Italy in the 8th century bc and hence indirectly to the other Italic
alphabets, including the Latin alphabet, which is
now used for most European languages. In 403 bc, however, Athens officially adopted
the Ionic
alphabet as written in Miletus, and in the next 50 years almost all
local Greek alphabets, including the Chalcidian, were replaced by the Ionic
script, which thus became the classical Greek alphabet.
The early Greek alphabet was written, like its Semitic
forebears, from right to left. This gradually gave way to the boustrophedon style, and
after 500 bc Greek was always written from left to right. The classical
alphabet had 24 letters, 7 of which were vowels, and consisted of capital
letters, ideal for monuments and inscriptions. From it were derived three
scripts better suited to handwriting: uncial, which was
essentially the classical capitals adapted to writing with pen on paper and
similar to hand printing; and cursive and minuscule,
which were running scripts similar to modern handwriting forms, with joined
letters and considerable modification in letter shape. Uncial went out of use in
the 9th century ad, and minuscule, which replaced it, developed into the modern
Greek handwriting form.
Classical Greek alphabet
The table indicates the Classical Greek alphabet.
Classical Greek alphabet
letters
|
equivalent
|
|||||
capital
|
lower case
|
combi- nations
|
name
|
EB preferred
|
alter- natives
|
approximate classical Attic pronunciation
|
Α
|
α, α*
|
alpha
|
a
|
are
|
||
αι
|
ae in proper nouns, ai in common words
|
e
|
ice
|
|||
αυ
|
au
|
now
|
||||
Β
|
β
|
beta
|
b
|
baby
|
||
Γ
|
γ
|
gamma
|
g
|
go
|
||
γγ
|
ng
|
angle
|
||||
γκ
|
nk
|
nc
|
ink
|
|||
γξ
|
nx
|
thanks
|
||||
γχ
|
nch
|
nkh
|
in case
|
|||
Δ
|
δ, ∂*
|
delta
|
d
|
dog
|
||
Ε
|
ε
|
epsilon
|
e
|
bet
|
||
ει
|
ei
|
e or i
|
day
|
|||
ευ
|
eu
|
bet + now
|
||||
Ζ
|
ζ
|
zeta
|
z
|
used
|
||
Η
|
η
|
eta
|
ē
|
e
|
air
|
|
ηυ
|
ēu
|
eu
|
airway
|
|||
Θ
|
θ, ϑ*
|
theta
|
th
|
tin
|
||
Ι
|
ι
|
iota
|
i
|
even or pin
|
||
Κ
|
κ
|
kappa
|
c in proper nouns, k in common words
|
pocket
|
||
Λ
|
λ
|
lambda
|
l
|
lil</>y
|
||
Μ
|
μ
|
mu
|
m
|
maim
|
||
Ν
|
ν
|
nu
|
n
|
not
|
||
Ξ
|
ξ
|
xi
|
x
|
ax
|
||
Ο
|
ο
|
omicron
|
o
|
Ger. so
|
||
οι
|
oe in proper nouns, oi in common words
|
Ger. so + day
|
||||
ου
|
ou
|
own
|
||||
Π
|
π
|
pi
|
p
|
spin
|
||
Ρ
|
ρ
|
rho
|
initial, rh; medial, r
|
rose
|
||
ρρ
|
rrh
|
Ger. Naturrecht
|
||||
Σ
|
σ**
|
sigma
|
s
|
sand
|
||
Τ
|
τ
|
tau
|
t
|
stay
|
||
Υ
|
υ
|
upsilon
|
y
|
u
|
Fr. du
|
|
υι
|
ui
|
Fr. concluiez
|
||||
Φ
|
ϕ, φ*
|
phi
|
ph
|
pin
|
||
Χ
|
χ
|
chi
|
ch
|
kh
|
kin
|
|
Ψ
|
ψ
|
psi
|
ps
|
perhaps
|
||
Ω
|
ω
|
omega
|
ō
|
o
|
call
|
|
*Old-style character. **Final, ç.
|
||||||
Classical Greek numerals
The table indicates the Classical Greek numerals.
Classical Greek numerals
Greek
|
Arabic
|
α′
|
1
|
β′
|
2
|
γ′
|
3
|
δ′
|
4
|
ε′
|
5
|
ζ′
|
6
|
ξ′
|
7
|
η′
|
8
|
θ′
|
9
|
ι′
|
10
|
ια′
|
11
|
ιβ′
|
12
|
ιγ′
|
13
|
ιδ′
|
14
|
ιε′
|
15
|
ιζ′
|
16
|
ιξ′
|
17
|
ιη′
|
18
|
ιθ′
|
19
|
κ′
|
20
|
κα′
|
21
|
κβ′
|
22
|
κγ′
|
23
|
κδ′
|
24
|
λ′
|
30
|
μ′
|
40
|
ν′
|
50
|
ξ′
|
60
|
ο′
|
70
|
π′
|
80
|
ϙ′
|
90
|
ρ′
|
100
|
σ′
|
200
|
τ′
|
300
|
υ′
|
400
|
ϕ′
|
500
|
χ′
|
600
|
ψ′
|
700
|
ω′
|
800
|
ϡ′
|
900
|
′ α
|
1,000
|
Modern Greek alphabet
The table indicates the modern Greek alphabet.
Modern Greek alphabet
Greek letters
|
|||||
capital
|
lower case
|
combinations
|
name
|
equivalents
|
approximate pronunciation
|
Α
|
α, α*
|
álfa
|
a
|
bother
|
|
αι
|
e
|
bed
|
|||
αï
|
ai
|
life
|
|||
αυ
|
av/af
|
lava**, waft
|
|||
αϋ
|
ai
|
life
|
|||
Β
|
β
|
víta
|
v
|
van
|
|
Γ
|
γ
|
ghámma
|
gh before α, ο, ου, ω, and consonants other than γ, ξ, and
χ, y before αι, ε, ει, η, ι, οι, υ, υι; n before γ, ξ, and χ
|
wit, yet, sing
|
|
γκ
|
initial, g;
medial, ng |
go,
finger |
|||
Δ
|
δ, ∂ *
|
dhélta
|
dh; d between ν and ρ
|
then, wondrous
|
|
Ε
|
ε
|
épsilon
|
e
|
bet
|
|
ει
|
i
|
even
|
|||
εï
|
eï
|
day
|
|||
ευ
|
ev/ef
|
revel, left
|
|||
Ζ
|
ζ
|
zíta
|
z
|
zone
|
|
Η
|
η
|
íta
|
i
|
fig
|
|
ηυ
|
iv/if
|
even, leaf
|
|||
Θ
|
θ, ϑ *
|
thíta
|
th
|
thin
|
|
Ι
|
ι
|
ióta
|
i
|
even
|
|
Κ
|
κ
|
káppa
|
k
|
kin, cook
|
|
Λ
|
λ
|
lámbdha
|
l
|
lily
|
|
Μ
|
μ
|
mi
|
m
|
maim
|
|
μπ
|
initial, b;
medial, mb |
bake,
ambush |
|||
Ν
|
ν
|
ni
|
n
|
not
|
|
ντ
|
initial, d;
medial, nd |
dog,
fender |
|||
ντζ
|
ntz
|
chintz
|
|||
Ξ
|
ξ
|
xi
|
x
|
ax
|
|
Ο
|
ο
|
ómikron
|
o
|
saw
|
|
οι
|
i
|
even
|
|||
οï
|
oi
|
boy
|
|||
ου
|
u
|
food
|
|||
Π
|
π
|
pi
|
p
|
pin
|
|
Ρ
|
ρ
|
ro
|
r
|
rose
|
|
Σ
|
σ***
|
sígma
|
s
|
sand
|
|
Τ
|
τ
|
taf
|
t
|
tie
|
|
Υ
|
υ
|
ípsilon
|
i initially and between consonants
|
even
|
|
υι
|
i
|
even
|
|||
Φ
|
ϕ, φ*
|
fi
|
f
|
fifty
|
|
Χ
|
χ
|
khi
|
kh
|
Ger. Buch
|
|
Ψ
|
ψ
|
psi
|
ps
|
perhaps
|
|
Ω
|
ω
|
oméga
|
o
|
bone
|
|
*Old-style character. **Pronounced with a long a.
***Final, ç.
|
|||||
Share
Email
Cite
Rome
was a little quiet town on the shores of the Tiber river when her
Latin-speaking citizens learned writing from the Etruscans. A few hundred years
later, the Romans brought their alphabet to wherever they went (more
specifically, conquered). Because of the prestige of Roman culture, many
non-Roman "barbarian" nations embraced Latin for court use, and
adopted the Latin alphabet to write their own language. Consequently, Western European
nations all wrote using the Latin alphabet, and with European imperialism in
the last 500 years, the Latin alphabet (with local modifications) is probably
the most ubiquitous writing system in the world.
Even
though the Latin alphabet is essentially what you're seeing in front of you,
the original version was quite different. As Latium (the region where Latin is
spoken and Rome is located) and Etruria (the region where Etruscan is spoken)
are adjacent to each other, the very first examples of the Latin alphabet
resemble the Etruscan alphabet. Nearly all the letters were
adopted with the same phonetic values and graphical shapes. Also, the direction
of writing was like Etruscan, either right-to-left, boustrophedon, or even
left-to-right for about a hundred years during the 6th century BCE (once again
influenced by Etruscan fads). On the other hand, the Latins did modify the
Etruscan alphabet to suit their language. They threw away the signs
,
,
,
,
and
([š>],
[z], [ph], [th], and [kh] respectively)
because Latin didn't have those sounds. On the flip side, Latin also had sounds
not present in Etruscan. One solution was to invent the letter G by adding a
vertical stroke to the letter C. Similarly, the Latins "resurrected"
the letters O and D, which were not used in Etruscan but kept for tradition.
The letter F, which in Etruscan represented the sound [v], was eventually
reused for [f]. Etruscan wrote the [f] sound with the digraph
HF,
a convention also used in the earliest Latin inscriptions. The Latins also took
Q and used it for their [kw] sound most likely since it already
appears in front of V in Etruscan.
Slowly
the Latin alphabet became increasingly standardized. Writing direction settled
on left-to-right toward the 5th or 4th century BCE, and letter shapes became
more or less the same in Latium. And by Rome's Republican period (3rd century
BCE), the Latin alphabet has evolved to the "modern" form:
The
letters Y and Z were added for to write Greeks loan words during the early
Imperial period (1st century BCE). With these two additions, the Latin alphabet
at the late antiquity was nearly identical to most Western European alphabets.
During the middle ages, new letters were created by slightly modifying an
existing letter. The letter I was used for both [i] and [y], and so J was
created from to represent the [y] semi-vowel. Similarly, V doubles as [u] and
[w], and so U was created to denote [u] while V stood for [v] only. Still
later, the letter W was created in Germanic-speaking regions from doubling U to
represent the [v] sound (while the letter V shifted to represent [f]). This
doubling trick is also found in other places such as Spanish where the letter Ñ
originated from the NN.
As you might
have noticed, the classical Roman Latin alphabet only has what we called
"upper case", or majuscule, letters. So where did "lower
case", or minuscule, letters come from? By the 4th century CE, a
semi-cursive style called uncial was being used for handwriting. Uncial is
considered a majuscule style but with rounded letters. Eventually this evolved
into the minuscule style by the 8th century CE. Originally the two styles were
used separately, majuscules for monumental inscription, and minuscules for
manuscripts. However, during the reign of Charles the Great (early 9th century
CE) the Carolingian Reform forced the merging of the two styles and the
creation of the "dual alphabet". With this, our modern Roman alphabet
was born.
Slowly
the Latin alphabet became increasingly standardized. Writing direction settled
on left-to-right toward the 5th or 4th century BCE, and letter shapes became
more or less the same in Latium. And by Rome's Republican period (3rd century
BCE), the Latin alphabet has evolved to the "modern" form:

The
letters Y and Z were added for to write Greeks loan words during the early
Imperial period (1st century BCE). With these two additions, the Latin alphabet
at the late antiquity was nearly identical to most Western European alphabets.
During the middle ages, new letters were created by slightly modifying an
existing letter. The letter I was used for both [i] and [y], and so J was
created from to represent the [y] semi-vowel. Similarly, V doubles as [u] and
[w], and so U was created to denote [u] while V stood for [v] only. Still
later, the letter W was created in Germanic-speaking regions from doubling U to
represent the [v] sound (while the letter V shifted to represent [f]). This
doubling trick is also found in other places such as Spanish where the letter Ñ
originated from the NN.
As you might
have noticed, the classical Roman Latin alphabet only has what we called
"upper case", or majuscule, letters. So where did "lower
case", or minuscule, letters come from? By the 4th century CE, a
semi-cursive style called uncial was being used for handwriting. Uncial is
considered a majuscule style but with rounded letters. Eventually this evolved
into the minuscule style by the 8th century CE. Originally the two styles were
used separately, majuscules for monumental inscription, and minuscules for
manuscripts. However, during the reign of Charles the Great (early 9th century
CE) the Carolingian Reform forced the merging of the two styles and the
creation of the "dual alphabet". With this, our modern Roman alphabet
was born.
Subscribe to:
Comments (Atom)