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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 ΙΙI,2
Ἐὰν κύκλου ἐπὶ τῆς περιφερείας ληφθῇ δύο τυχόντα σημεῖα, ἡ ἐπὶ τὰ σημεῖα ἐπιζευγνυμένη εὐθεῖα ἐντὸς πεσεῖται τοῦ κύκλου.
eng
If on the circumference of a circle two points be taken at random, the straight line joining the points will fall within the circle.
lat Sic
Si in circuli periferia sumantur duo quelibet puncta, et in ea puncta copulata recta intra circulum cadet.
lat Gerard
Si in circuli circumferentia duo puncta signentur, linea recta que unum eorum alii copulat intus in circulo cadit.
lat Adelard 47r
Si supra circuli circumferentiam duo puncta fuerint assignata, lineam illorum coniunctivam per circulum transire necesse est.
lat Hermann 18v
Super circuli circumferentiam signata duo puncta si recta linea continuat, per circulum transit.
ara Uppsala 28v11-12
اذا تعلم علي محيط دايرة نقطتان واخرج من احديهما خط مستقيم الي الاخري فانه يقع في داخل ' الدايرة
ara Tuṣi p. 48
كل خط وصل بين نقطتين على المحيط اى كل وتر فهو يقع داخل الدائـرة
ara Nairizi p. 10
إذا فُرض على محيط دائرة نقطتان كيف ما وقعتا ووُصل بينهما بخط مستقيم فإنّ الخط المستقيم الذي يصل بين النقطتين يقع داخل الدائرة
per Shirazi
.
san p. 95
tatra vṛttapālau cihnadvayalagnā rekhā kāryā sā vṛttāntargataiva bhavati na hi bāhyagā |
lat Clavius
SI in circuli peripheria duo quælibet puncta accepta fuerint; Recta linea, quæ ad ipsa puncta adiungitur, intra circulum cadet.
kin 幾何原本 卷三，一
圜界、任取二點。以直線相聯。則直線全在圜內。
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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
