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Euclid: Elementa

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gre I,32
Παντὸς τριγώνου μιᾶς τῶν πλευρῶν προσεκβληθείσης ἡ ἐκτὸς γωνία δυσὶ ταῖς ἐντὸς καὶ ἀπεναντίον ἴση ἐστίν, καὶ αἱ ἐντὸς τοῦ τριγώνου τρεῖς γωνίαι δυσὶν ὀρθαῖς ἴσαι εἰσίν.
Pic361
Pic647
eng
In any triangle, if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of the triangle are equal to two right angles.
lat Sic
Omnis trigoni uno laterum educto exterior angulus duobus qui interius et ex adverso est equalis. Et interiores tres anguli trigoni duobus rectis sunt equales.
lat Gerard
[1.32] Si unum ex lateribus cuiuslibet trianguli in rectitudine protrahatur, angulus extrinsecus duobus intrinsecis angulis qui ei opponuntur erit equalis, et eius tres anguli qui sunt infra triangulum duobus rectis sunt equales.
lat Adelard
Omnis trianguli extrinsecus angulus duobus intrinsecis angulis sibi oppositis equalis. Tres etiam anguli sicut duo anguli recti.
lat Hermann
Omnis trianguli extrinsecus angulus duobus ipsum respicientibus equalis est. Unde omnes tres omnis trianguli angulos duobus rectis equales esse necesse sit.
ara Uppsala
No Arabic
ara Tuṣi p. 22
كل مثلث اخرج احد اضلاعه فزاويته الخارجة مساوية لمقابلتيها الداخلتين وزواياه الثلث مساوية لقائمتين ❊
ara Nairizi p. 142
كل مثلث يخرج (ع) ضلع من اضلاعه على استقامة فان الزاوية التى تحدث خارج المثلث مثل (ط) مجموع زاويتيه الداخلتين اللتين تقابلانها وزوايا المثلث الثلث اذا جمعت مثل مجموع زاويتين قائمتين
san 50,18-21
tatreṣṭatribhujasyaiko bhuja varddhanīyaḥ punas tatraiva yo bahiḥ sthitaḥ koṇaḥ sa sanmukhāntargatakoṇadvayayogena samāno bhavati | antargatakoṇatrayayogo ’pi dvayoḥ samakoṇayoḥ samāno bhavati |
Pic742
lat Clavius
CVIVSCVNQVE trianguli vno latere producto: Externus angulus duobus internis, & oppositis est æqualis. Et trianguli tres interni anguli duobus sunt rectis æquales.
kin 幾何原本 p. 59
凡三角形之外角、與相對之內兩角幷、等。凡三角形之內三角幷、與兩直角等。
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