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Euclid: Elementa
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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
Back to library
Euc
gre I,15
Ἐπεὶ γὰρ εὐθεῖα ἡ ΑΕ ἐπ᾽ εὐθεῖαν τὴν ΓΔ ἐφέστηκε γωνίας ποιοῦσα τὰς ὑπὸ ΓΕΑ, ΑΕΔ, αἱ ἄρα ὑπὸ ΓΕΑ, ΑΕΔ γωνίαι δυσὶν ὀρθαῖς ἴσαι εἰσίν.
eng
For, since the straight line AE stands on the straight line CD, making the angles CEA, AED, the angles CEA, AED are equal to two right angles [I. 13]
lat Sic
Quoniam enim recta AE stat super rectam GD angulos faciens GEA et AED, anguli ergo GEA et AED duobus rectis sunt equales.
lat Gerard
Probatio huius: Quoniam linea AE super lineam GD erigitur, iam duo anguli qui constant ex AED et AEG duobus rectis angulis fiunt equales.
lat Adelard
Rationis causa: Cum enim linea AH linee GD supersteterit, anguli qui sunt AHD et AHG rectis angulis fiunt equales.
lat Hermann
Cum enim AB linea supra DG lineam steterit, angulos AED et AEG duobus rectis equales reddit.
ara Uppsala
No Arabic
ara Tuṣi p. 10-11
وذلك لان مجموع زاويتى (ب ه ج) (ج ه ا) يساوى مجموع زاويتى (ا ه د) (ج ه ا) لكون | كل واحد من المجموعين معادلا لقائمتين [يج]
ara Nairizi p. 82
برهامه ان خط (ا ه) قائم على خط (ج د) فببرهان يج من (ا) تكون زاويتا (ا ه ج) (ا ه د) معادلتين لقائتين
per Shirazi
.
san 21,17–18
kutaḥ |
bahaja
koṇa(18)
jahaa
koṇayor yogaḥ samakoṇadvayatulyo ’sti |
lat Clavius
Quoniam recta D E, consistit super rectam A B, erunt duo anguli A E D, D E B, æquales duobus rectis.
kin 幾何原本
.
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Title
Preface
Book I
Book ΙI
Book IΙΙ
Book IV
Book V
Book VI
Book VII
Book VIII
Book ΙΧ
Book Χ
Book ΧI
Book ΧIΙ
Book ΧIΙΙ
