Bibliotheca Polyglotta

Euclid: Elementa

εἰ γὰρ τοῦ μὲν Β ἐπὶ τὸ Ε ἐφαρμόσαντος τοῦ δὲ Γ ἐπὶ τὸ Ζ ἡ ΒΓ βάσις ἐπὶ τὴν ΕΖ οὐκ ἐφαρμόσει, δύο εὐθεῖαι χωρίον περιέξουσιν· ὅπερ ἐστὶν ἀδύνατον.

eng

[For if, when B coincides with E and C with F, the base BC does not coincide with the base EF, two straight lines will enclose a space: which is impossible.

lat Sic

Si enim B quidem super E coaptato, G vero super Z, basis BG super basim EZ non coaptabitur, due recte spatium continebunt. Quod est impossibile.

lat Gerard

Quia cum punctum B positum fuerit super punctum E et punctum G super punctum Z impossibile erit quin basis BG cadat super basim EZ, due enim recte linee superficiem non concludunt quia hoc impossibile est.

lat Adelard

Superposito enim puncto B puncto H punctoque G puncto Z, necessario basis BG super basim HZ cadet. Alioquin due recte linee planum continent, quod est impossibile.

lat Hermann

No Latin

ara Uppsala

[...]¹

1. The scholiast interpolation bracketed by Heiberg (on the basis of the Nayrīzī text), i.e. ”[εἰ γὰρ τοῦ μὲν Β ... ἐφαρμόσει ἄρα ἡ ΒΓ βάσις ἐπὶ τὴν ΕΖ]”, is not found in the Arabic version (at least not in the Uppsala MS). See Heath I, 249. But compare Gerard's text.

ara Tuṣi

وإلا فأحاطا بسطح

ara Nairizi p. 54

[...]

per Shirazi p. 23,5-7

و بضرورت (ب ج) بر (ه ز) منطبق کردد والا دو خط مستقیم بیک سطح محیط شوند و این باطل است *ص

san 11,11

No Sanskrit

lat Clavius p. 42

alias si supra caderet, aut infra, vt efficeretur recta E G F, vel E H F, clauderent duæ rectæ E F, E G F; vel E F, E H F, superficiem, (negare enim nemo poterit, tam E G F, quàm E H F, rectam esse, cum vtraque ponatur esse eadem, quæ recta B C.) quod est absurdum. Duæ enim rectæ superficiem ¹ claudere non possunt.

1. 14. pronun.

kin 幾何原本 p.26

而云乙丙、與戊己、不等。必乙丙底或在戊己之上、為庚。或在其下、為辛矣。戊己旣為直線而戊庚己又為直線則兩線當別作一形是兩線能相合為形也辛倣此。公論十二此以非為論者。駁論也。下倣此。

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