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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,28
Πάλιν, ἐπεὶ αἱ ὑπὸ ΒΗΘ, ΗΘΔ δύο ὀρθαῖς ἴσαι εἰσίν, εἰσὶ δὲ καὶ αἱ ὑπὸ ΑΗΘ, ΒΗΘ δυσὶν ὀρθαῖς ἴσαι,
Pic356
Pic645
eng
Again, since the angles BGH, GHD are equal to two right angles, and the angles AGH, BGH are also equal to two right angles, [I. 13]
lat Sic
Rursum quoniam anguli BIT et ITD duobus rectis sunt equales, sunt vero et anguli AIT et BIT duobus rectis equales,
lat Gerard
Probatio huius: Quoniam duo anguli AZH; BZH duobus rectis angulis sunt equales et duo anguli BZH; DHZ duobus rectis equantur angulis,
lat Adelard
Item si duo anguli intrinseci ex una parte, scilicet, BHT et DTH duobus rectis angulis equales fuerint, dico quia linea AB linee GD equidistans erit.
lat Hermann
Item quando quo intrinseci ex una parte duobus rectis equales Iuerint, cum binos in utraque parte altrinsecos linee transeuntis binis rectis esse constat
ara Uppsala
No Arabic
ara Tuṣi p. 16
وايضا كون زاوية (ب زح) مع كل واحدة منهما معادلة لقائمتين يقتضى
ara Nairizi p. 116
وايضا فليكن مجموع زاويتى (ب ح ط) (ح ط د) الداخلتين اللتين فى جهة واحدة مساويا لمجموع زاويتين قائمتين فاقول ان خط (ا ب) مواز لخط (ج د)
san 36,23-37,2
punar api bajhavakoṇaajhavakoṇayogaḥ dvayoḥ samakoṇayoḥ samāno ’sti | bajhavakoṇajhavadakoṇāv api dvayoḥ samakoṇayoḥ samānau |
Pic724
lat Clavius
SECVNDO faciat recta E F, angulos internos ex eadem parte, nempe A G H, C H G, duobus rectis æquales. Dico rursus rectas A B, C D, esse parallelas. Quoniam enim anguli A G H, C H G, duobus rectis æquales ponuntur; Sunt autem & anguli A G E, A G H, duobus rectis æquales;
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