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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
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gre I,5
Εἰλήφθω γὰρ ἐπὶ τῆς ΒΔ τυχὸν σημεῖον τὸ Ζ, καὶ ἀφῃρήσθω ἀπὸ τῆς μείζονος τῆς ΑΕ τῇ ἐλάσσονι τῇ ΑΖ ἴση ἡ ΑΗ, καὶ ἐπεζεύχθωσαν αἱ ΖΓ, ΗΒ εὐθεῖαι.
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eng
Let a point F be taken at random on BD; from AE the greater let AG be cut off equal to AF the less; [I. 3] and let the straight lines FC, GB be joined. [Post. 1]
lat Sic
Sumatur enim in recta BD quodlibet punctum sitque Z et auferatur a maiore AE minori AZ equalis AI et copulentur ZG et IB recte.
lat Gerard
Super lineam igitur b D notabo punctum quocumque casu acciderit, sitque punctum illud z. Deinde abscidam de linea A E lineam linee AZ equalem sitque AH et copulabo puncta G et Z et B et H duabus lineis G Z; B H.
lat Adelard
Rationis causa: Si enim supra lineam BD ponatur punctum Z abscidaturque de linea AH linea equalis AZ sitque AH, protrahaturque Z ad G et H ad B;
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lat Hermann
Signetur igitur certum in linea BD locum nota Z quantumque est ab A usque ad E, tantum fit in GE linea ab A usque ad notam H; continuemus itaque lineis sese secantibus Z cum G et H cum B.
ara Uppsala 4r,20-21
فنعلم على (ب د) نقطة كيف ما وقعت وهي (ز) ونفصل من ' خط (ا ه) خطا مساويا لخط (ا ز) وهو (ا ح) ونصل خطي (ج ز) (ب ح)
ara Tuṣi p. 6
ولنعين لبيانه على (ب د) نقطة (ز) كيف اتفق ونفصل من (ج ه) (ج ح) مساويا لـ(ب ز) [ج] ونصل (ب ح) (ج ز)
ara Nairizi p. 54-56
برهانه انا نعلم (نعمل) على خط (ا د) نقطة من خط (ا ه) خط (ا ح) مساويا ٥٦ لخط (ا ز) كما بين ببرهان (ج) من (ا) وضل خطا (ج ز) (ب ح)
per Shirazi p. 23,14-16
جه تعیین کنیم بر (ب د) نقطه (ز) کیف اتفق *ص و فصل کنیم از (ج ه) (ج ح) مساوی (ب ز) *ج و وصل کنیم (ب ح) (ج ز) *ص
san 11,23-12,1
(23) atropapattiḥ | (24) badarekhāyāṃ jhacihnaṃ1 kuryāt | jaharekhāyāṃ bajharekhāsamānā java(12,1)rekhā pṛthak kāryā | bavarekhā jajharekhā ca kāryā |
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1. MS:...cinhaṃ
lat Clavius
Ex linea enim A E, producta infinite abscindatur A F, æqualis ipsi 1 A D, & ducantur rectæ B F, C D. Confiderentur deinde duo triangula A B F, A C D.
1. 3 primi.
kin 幾何原本 p. 4a
論曰。試如甲戊線稍長。卽從甲戊截取一分。與甲丁等。為甲己。本篇三 次自丙至丁乙至己。各作直線。第一求卽甲己乙、甲丁丙、兩三角形必等。
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