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Euclid: Elementa

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Euclid: Elementa
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gre VΙΙI,9
Ἐὰν δύο ἀριθμοὶ πρῶτοι πρὸς ἀλλήλους ὦσιν, καὶ εἰς αὐτοὺς μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπίπτωσιν ἀριθμοί, ὅσοι εἰς αὐτοὺς μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπίπτουσιν ἀριθμοί, τοσοῦτοι καὶ ἑκατέρου αὐτῶν καὶ μονάδος μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπεσοῦνται.
Pic2678
eng
If two numbers be prime to one another, and numbers fall between them in continued proportion, then, however many numbers fall between them in continued proportion, so many will also fall between each of them and an unit in continued proportion.
lat Sic
Si duo numeri primi ad se invicem fuerint et inter ipsos secundum continuam proportionalitatem inciderint numeri, quot inter ipsos secundum continuam proportionalitatem incidunt numeri, totidem et inter utrumque ipsorum et unitatem deinceps secundum continuam proportionalitatem incident numeri.
lat Gerard
No Latin
lat Adelard
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lat Hermann
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ara Uppsala
No Arabic
ara Tuṣi
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ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius
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kin 幾何原本
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