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Euclid: Elementa

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Click to Expand/Collapse OptionBook I
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gre I,32
Καὶ ἐπεὶ παράλληλός ἐστιν ἡ ΑΒ τῇ ΓΕ, καὶ εἰς αὐτὰς ἐμπέπτωκεν ἡ ΑΓ, αἱ ἐναλλὰξ γωνίαι αἱ ὑπὸ ΒΑΓ, ΑΓΕ ἴσαι ἀλλήλαις εἰσίν.
Pic361
Pic647
eng
Then, since AB is parallel to CE, and AC has fallen upon them, the alternate angles BAC, ACE are equal to one another. [I. 29]
lat Sic
Et quoniam equidistans est recta AB recte GE et in ipsas incidit recta AG, anguli ergo BAG et AGE qui permutatim alternis sunt equales.
lat Gerard
Et quia linea AB linee GE equidistat, erunt duo anguli coalterni BAG; AGE equales.
lat Adelard
Superstat itaque linea AG duabus lineis inconiunctivis AB et GH. Erunt ergo duo anguli coalterni BAG et AGH equales.
lat Hermann
eum, qui est EGA, ei, quem GAB faciunt, coalternum asociat AG scilicet super equidistantes cadente,
ara Uppsala
No Arabic
ara Tuṣi p. 23
فزاوية (ا ج ه) مساوية لزاوية (ا) [كط] لكونهما متبادلتين
ara Nairizi p. 142
فخط (ا ج) مخرج على خطى (ا ب) (ج ه) المتوازيين فببرهان (كط) من (ا) زاويتا (ب ا ج) (ا ج ه) المتبادلتان متساويتان
san 50,21-22
tatra ajahakoṇo baajakoṇena tulyo jātaḥ |
Pic742
lat Clavius
Quoniam igitur recta A C, incidit in parallelas A B, C E, erunt anguli interni A, & A C E, æquales.
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