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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,1
Καὶ ἐπεὶ τὸ Α σημεῖον κέντρον ἐστὶ τοῦ ΓΔΒ κύκλου, ἴση ἐστὶν ἡ ΑΓ τῇ ΑΒ·
eng
Now, since the point A is the centre of the circle CDB, AC is equal to AB. [Def. 15]
lat Sic
Et quoniam A punctus centrum est circuli GAE, equalis est AG recte AB.
lat Gerard
Huius probatio est: Quia punctum a factum est centrum circuli GDB, fit linea AG equalis linee AB.
lat Adelard
Rationis causa: Quia punctum A factum est centrum circuli GDB, facta est linea AG equalis linee AB.
lat Hermann
Nam A centrum circuli BGD, lineam AG ei que est AB equalem esse cogit.
ara Uppsala 3r8-10
فلأن نقطة (ا) مركز ' دائرة (ب ج د) يكون خط (ا ج) مساويا ' لخط (ا ب)
ara Tuṣi p. 4
فمثلث (ا ج ب) المرسوم ' على (ا ب) متساوي الأضلاع
1
وذلك لأن (ا ب) (ا ج) الخارجين من مركز ' دائرة (ب ج د) إلى محيطها متساويان
1
. Ṭūsī gives the conclusion before breaking the argument down into parts.
ara Nairizi p. 42
فلان نقطة (ا) مركز لدائرة (ب ج د) وقد خرج منها خطان مستقيمان الى محيطها وهما (ا ج) (ا ب) فهما اذا متساويان
per Shirazi 19,15-17
[ص] کی مثلث (ا ب ج) متساوی الاضلاع باشد بجهت آنک (ا ب) (ا ج) کی از مرکز (د ج ب) بمحیط او رفته اند متساوی اند
san 9,7-8
(7) atra
aba
rekhā
aja
rekhāsamānāsti | yato
baja
vṛttasya vyāsā(8)rdham asti |
lat Clavius p. 35
Quoniam rectæ A B, A C, ducuntur ex centro A, ad circumferentiam circuli C B D,
1
erit recta A C, rectæ A B, æqualis:
1
. 15. def.
kin 幾何原本
論曰。以甲為心。至圜之界。其甲乙線。與甲丙、甲丁、線等。
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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
