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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
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gre XΙI,4
καὶ τὰ δύο ἄρα πρίσματα, οὗ τε βάσις μὲν τὸ ΚΒΞΛ παραλληλόγραμμον, ἀπεναντίον δὲ ἡ ΟΜ, καὶ οὗ βάσις μὲν τὸ ΛΞΓ, ἀπεναντίον δὲ τὸ ΟΜΝ, πρὸς τὰ πρίσματα, οὗ τε βάσις μὲν τὸ ΠΕΦΡ, ἀπεναντίον δὲ ἡ ΣΤ εὐθεῖα, καὶ οὗ βάσις μὲν τὸ ΡΦΖ τρίγωνον, ἀπεναντίον δὲ τὸ ΣΤΥ.
Pic2903
eng
Therefore also the two prisms, that in which the parallelogram KBOL is the base and PM its opposite, and that in which the triangle LOC is the base and PMN its opposite, are to the prisms in which QEVR is the base and the straight line ST its opposite and in which the triangle RVF is the base and STU its opposite in the same ratio [V. 12]
lat Sic
Sicut ergo ΚΒΛΧ, ΜΟ; ΛΧΓ, ΟΜΝ prismata ad ΛΧΓ, ΟΜΝ prisma ita PEFR, Sτ; RFZ, SτY prismata ad RFZ, SτY prisma, mutuatim ergo sicut KBLX, OM; XLG, OMN ad P(E)FR, Sτ; RFZ, SτY prismata ita LXG, MNO prisma ad RFZ, SτY prisma. Sicut autem LXG, OMN prisma ad RFZ, SτY prisma ita ostensum est LXG basis ad RFZ, et ABG basis ad DEZ basim.
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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san
No Sanskrit
lat Clavius
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kin 幾何原本
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