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Euclid: Elementa

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Euclid: Elementa
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Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
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gre X,1
καὶ ἐπεὶ μεῖζόν ἐστι τὸ ΔΕ τοῦ ΑΒ, καὶ ἀφῄρηται ἀπὸ μὲν τοῦ ΔΕ ἔλασσον τοῦ ἡμίσεος τὸ ΕΗ, ἀπὸ δὲ τοῦ ΑΒ μεῖζον ἢ τὸ ἥμισυ τὸ ΒΘ, λοιπὸν ἄρα τὸ ΗΔ λοιποῦ τοῦ ΘΑ μεῖζόν ἐστιν.
Pic2734
eng
Now, since DE is greater than AB, and from DE there has been subtracted EG less than its half, and, from AB, BH greater than its half, therefore the remainder GD is greater than the remainder HA.
lat Sic
Et quoniam maius est DE quam AB et ablatum est a quantitate quidem DE minus quam dimidium EI, a quantitate vero AB maius quam dimidium quantitas BT, reliqua ergo quantitas ID reliqua quantitate TA maior est.
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
No Latin
kin 幾何原本
No Chinese
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