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Euclid: Elementa
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Greek: gre
English: eng
Latin: lat Sic
Latin: lat Gerard
Latin: , lat Adelard
Latin: , lat Hermann
Arabic: ara Uppsala
Arabic: ara Tuṣi
Arabic: ara Nairizi
Persian: per Shirazi
Sanskrit: san
Latin: lat Clavius
Chinese: kin 幾何原本
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Euclid: Elementa
Title
Preface
Book I
Definitions
Postulates
Common Notions
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Proposition 28
Proposition 29
Proposition 30
Proposition 31
Proposition 32
Proposition 33
Proposition 34
Proposition 35
Proposition 36
Proposition 37
Proposition 38
Proposition 39
Proposition 40
Proposition 41
Proposition 42
Proposition 43
Proposition 44
Proposition 45
Proposition 46
Proposition 47
Proposition 48
Book ΙI
Definitions
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Book IΙΙ
Definitions
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Proposition 28
Proposition 29
Proposition 30
Proposition 31
Proposition 32
Proposition 33
Proposition 34
Proposition 35
Proposition 36
Proposition 37
Book IV
Definitions
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Book V
Definitions
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 2
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Book VI
Definitions
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Proposition 28
Proposition 29
Proposition 30
Proposition 31
Proposition 32
Proposition 33
Book VII
Definitions
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 2
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Proposition 28
Proposition 29
Proposition 30
Proposition 31
Proposition 32
Proposition 33
Proposition 34
Proposition 35
Proposition 36
Proposition 37
Proposition 38
Proposition 39
Book VIII
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Book ΙΧ
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Proposition 28
Proposition 29
Proposition 30
Proposition 31
Proposition 32
Proposition 33
Proposition 34
Proposition 35
Proposition 36
Book Χ
Definitions I
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Proposition 28
Proposition 29
Proposition 30
Proposition 31
Proposition 32
Proposition 33
Proposition 34
Proposition 35
Proposition 36
Proposition 37
Proposition 38
Proposition 39
Proposition 40
Proposition 41
Proposition 42
Proposition 43
Proposition 44
Proposition 45
Proposition 46
Proposition 47
Definitions II
Proposition 48
Proposition 49
Proposition 50
Proposition 51
Proposition 52
Proposition 53
Proposition 54
Proposition 55
Proposition 56
Proposition 57
Proposition 58
Proposition 59
Proposition 60
Proposition 61
Proposition 62
Proposition 63
Proposition 64
Proposition 65
Proposition 66
Proposition 67
Proposition 68
Proposition 69
Proposition 70
Proposition 71
Proposition 72
Proposition 73
Proposition 74
Proposition 75
Proposition 76
Proposition 77
Proposition 78
Proposition 79
Proposition 80
Proposition 81
Proposition 82
Proposition 83
Proposition 84
Definitions III
Proposition 85
Proposition 86
Proposition 87
Proposition 88
Proposition 89
Proposition 90
Proposition 91
Proposition 92
Proposition 93
Proposition 94
Proposition 95
Proposition 96
Proposition 97
Proposition 98
Proposition 99
Proposition 100
Proposition 101
Proposition 102
Proposition 103
Proposition 104
Proposition 105
Proposition 106
Proposition 107
Proposition 108
Proposition 109
Proposition 110
Proposition 111
Proposition 112
Proposition 113
Proposition 114
Proposition 115
Book ΧI
Definitions
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Proposition 19
Proposition 20
Proposition 21
Proposition 22
Proposition 23
Proposition 24
Proposition 25
Proposition 26
Proposition 27
Proposition 28
Proposition 29
Proposition 30
Proposition 31
Proposition 32
Proposition 33
Proposition 34
Proposition 35
Proposition 36
Proposition 37
Proposition 38
Proposition 39
Book ΧIΙ
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
Proposition 16
Proposition 17
Proposition 18
Book ΧIΙΙ
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 1
Proposition 1
Proposition 14
Proposition 15
Proposition 16
Proposition 18
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Euc
gre I,6
οὐκ ἄρα ἄνισός ἐστιν ἡ ΑΒ τῇ ΑΓ: ἴση ἄρα.
eng
Therefore AB is not unequal to AC; it is therefore equal to it.
lat Sic
Non ergo maior est recta AB quam AG. Similiter autem demonstrabimus quoniam neque AG maior est quam AB. Equalis ergo.
lat Gerard
Non igitur BA maius est AG. Similiter quoque ostenditur quod non existit minus eo. Est igitur linea BA equalis linee AG.
lat Adelard
Sicque manifestum est latus AB latere AG non longius sed equale.
lat Hermann
Erunt ergo equis angulis asictancia latera in omni triangulo equalia.
ara Uppsala 5r,3-4
فليس (ب ا) بأعظم ' من (ا ج) وكذلك نبين
1
أنه ليس بأصغر منه ' فخط (ب ا) مساو لخط (ا ج)
1
. ىىىن
yubayyan
or, as the 12th Century Latin ”Sicilian” translation (Busard 1987) indcates,
nubayyin
(”demonstrabimus”).
ara Tuṣi p. 7
فاذن هما متساويان
ara Nairizi p. 60
فقد تبين انه لا يمكن ان يكون (ا ب) اعظم من (ا ج) و لا اصغر فهو اذا مثله
per Shirazi
[...]
san 13,12
tasmāt
aja
ṃ
aba
ṃ samānam |
lat Clavius
Non igitur erunt latera A B, A C, inæqualia, si anguli B, & C, super latus B C, æquales sunt, ne totum parti æquale esse concedamus: sed æqualia existent. Quare si trianguli duo anguli, &c.
kin 幾何原本
何者。彼言丁乙丙分形之乙丁，與甲乙丙全形之甲丙，两線既等。丁乙丙分形之乙丙，與甲乙丙全形之乙丙，又同線。而元設丁乙丙，與甲丙乙，两角等。則丁乙丙，與甲乙丙，两形亦等也
本篇四
是全與其分等也。故底線两端之两角等者。两腰必等也。
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