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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
Click to Expand/Collapse OptionBook IV
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gre I,30
Καὶ ἐπεὶ εἰς παραλλήλους εὐθείας τὰς ΑΒ, ΕΖ εὐθεῖα ἐμπέπτωκεν ἡ ΗΚ, ἴση ἄρα ἡ ὑπὸ ΑΗΚ τῇ ὑπὸ ΗΘΖ.
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Pic646
eng
Then, since the straight line GK has fallen on the parallel straight lines AB, EF, the angle AGK is equal to the angle GHF. [I. 29]
lat Sic
Et quoniam in equidistantes rectas AB et EZ recta incidit IK, equalis ergo angulus AIK angulo ITZ.
lat Gerard
Et quia linea AB linee EZ equidistat et cadit super eas linea recta HTK, erunt duo anguli coalterni AHT; HTZ equales.
lat Adelard
cadatque linea HT super lineas inconiunctivas que sunt AB et HZ, anguli duo coa1terni AKL et KLZ erunt equales.
lat Hermann
erunt itaque anguii AKL et KLZ alterni et equales;
ara Uppsala
No Arabic
ara Tuṣi p. 22
فلتوازى (ا ب (ه ز) تكون متبادلتا (ا ح ط) (زط ح) متساويتين [كط]
Pic971
ara Nairizi p. 136
فقد اخرج خط على خطين مستقيمين متوازيين يهما خطا (ا ب) (ه ز) فبحسب برهان (يط) من (ا) تكون زاويتا (ا ك ل) (ك ل ز) المتبادلتان متساويتين
san 50,1-3
tatra abarekhā hajharekhā ca parasparaṃ samānāntarāsti avatakoṇajhatavakoṇaś caitau samānau bhaviṣyataḥ |
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lat Clavius
Quia igitur A B, ponitur parallela ipsi E F, erit angulus A I L, alterno F L I, æqualis.
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