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Euclid: Elementa

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Euclid: Elementa
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gre XΙI,7
Πόρισμα
Ἐκ δὴ τούτου φανερόν, ὅτι πᾶσα πυραμὶς τρίτον μέρος ἐστὶ τοῦ πρίσματος τοῦ τὴν αὐτὴν βάσιν ἔχοντος αὐτῇ καὶ ὕψος ἴσον [ἐπειδήπερ κἂν ἕτερόν τι σχῆμα εὐθύγραμμον ἔχῃ ἡ βάσις τοῦ πρίσματος, τοιοῦτο καὶ τὸ ἀπεναντίον, καὶ διαιρεῖται εἰς πρίσματα τρίγωνα ἔχοντα τὰς βάσεις καὶ τὰ ἀπεναντίον, καὶ ὡς ἡ ὅλη βάσις πρὸς ἕκαστον]:
Pic2906
eng
PORISM.
From this it is manifest that any pyramid is a third part of the prism which has the same base with it and equal height.
lat Sic
Porisma.
Ex hoc autem manifestum quoniam omnis piramis tertia pars est prismatis eandem basim habentis eidem et altitudinem equalem.
Quoniam si (prisma) aliam aliquam figuram rectilineam habeat basim et eandem in opposito, dividitur in prismata habentia bases triangulas (et) que in opposito.
Hie est sensus.
Est etiam manifestum, quoniam si corpus aliquid habeat aliam aliquam figuram rectilineam basim et aliam in opposito equalem et (e)quidistantem basi et similem ita quod trianguli basis sint in directo suorum similium (et equaliurn) plani oppositi, illud corpus dividitur in prismata habentia bases triangulas in illis planis oppositis.
lat Gerard
No Latin
lat Adelard
No Latin
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
No Latin
kin 幾何原本
No Chinese
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