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Euclid: Elementa

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Euclid: Elementa
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gre VI,8
Πόρισμα
Ἐκ δὴ τούτου φανερόν, ὅτι ἐὰν ἐν ὀρθογωνίῳ τριγώνῳ ἀπὸ τῆς ὀρθῆς ἐπὶ τὴν βάσιν κάθετος ἀχθῇ, ἡ ἀχθεῖσα τῶν τῆς βάσεως τμημάτων μέση ἀνάλογόν ἐστιν:
Pic2603
eng
PORISM.
From this it is clear that, if in a right-angled triangle a perpendicular be drawn from the right angle to the base, the straight line so drawn is a mean proportional between the segments of the base.
lat Sic
(Porisma)
Ex hoc ergo manifestum quoniam si in orthogonio trigono a recto angulo in basim cathetus trahatur, tracta sectionum basis media proportionalis erit. Et amplius baseos et uniuscuiuslibet sectionum illud quod ad sectionem latus medium proportionale est.
lat Gerard
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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
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lat Clavius
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kin 幾何原本
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