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Euclid: Elementa

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Euclid: Elementa
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gre VΙΙI,10
Ἐὰν δύο ἀριθμῶν ἑκατέρου καὶ μονάδος μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπίπτωσιν ἀριθμοί, ὅσοι ἑκατέρου αὐτῶν καὶ μονάδος μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπίπτουσιν ἀριθμοί, τοσοῦτοι καὶ εἰς αὐτοὺς μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπεσοῦνται.
Pic2679
eng
If numbers fall between each of two numbers and an unit in continued proportion, however many numbers fall between each of them and an unit in continued proportion, so many also will fall between the numbers themselves in continued proportion.
lat Sic
Si duobus numeris et unitati secundum continuam proportionalitatem numeri interciderint, quot inter utrumque ipsorum et unitatem secundum continuam proportionalitatem incidunt numeri totidem et inter ipsos secundum continuam proportionalitatem incident.
lat Gerard
No Latin
lat Adelard
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lat Hermann
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ara Uppsala
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ara Tuṣi
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ara Nairizi
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per Shirazi
.
san
No Sanskrit
lat Clavius
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kin 幾何原本
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