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Euclid: Elementa

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Euclid: Elementa
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gre VI,31
Ἐπεὶ οὖν ἐν ὀρθογωνίῳ τριγώνῳ τῷ ΑΒΓ ἀπὸ τῆς πρὸς τῷ Α ὀρθῆς γωνίας ἐπὶ τὴν ΒΓ βάσιν κάθετος ἦκται ἡ ΑΔ, τὰ ΑΒΔ, ΑΔΓ πρὸς τῇ καθέτῳ τρίγωνα ὅμοιά ἐστι τῷ τε ὅλῳ τῷ ΑΒΓ καὶ ἀλλήλοις.
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eng
Then since, in the right-angled triangle ABC, AD has been drawn from the right angle at A perpendicular to the base BC, the triangles ABD, ADC adjoining the perpendicular are similar both to the whole ABC and to one another. [VI. 8]
lat Sic
Quoniam ergo in orthogonio trigono ABG ab eo qui ad A recto angulo in BG basim cathetus tracta est AD, ABD, ADG trigona que ad cathetum similia sunt et toti ABG et sibi invicem.
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ara Uppsala
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per Shirazi
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san
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lat Clavius
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kin 幾何原本
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