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Euclid: Elementa

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Euclid: Elementa
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gre ΙΙI,31
[Πόρισμα
Ἐκ δὴ τούτου φανερόν, ὅτι ἐὰν [ἡ] μία γωνία τριγώνου ταῖς δυσὶν ἴση ᾖ, ὀρθή ἐστιν ἡ γωνία διὰ τὸ καὶ τὴν ἐκείνης ἐκτὸς ταῖς αὐταῖς ἴσην εἶναι: ἐὰν δὲ αἱ ἐφεξῆς ἴσαι ὦσιν, ὀρθαί εἰσιν.]
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eng
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lat Sic
(Porisma)
Ex hoc ergo manifestum quoniam si trigoni unus angulus duobus equalis fuerit, rectus est propter et eum qui illi deinceps exterius eisdem equalem esse; quando vero qui deinceps equales fuerint, recti sunt.
lat Gerard
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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
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san
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lat Clavius
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kin 幾何原本 p. 173
一系。凡角形之內。一角與兩角幷、等。其一角必直角。何者。其外角與內相對之兩角等。則與外角等之內交角。豈非直角。
二系。大分之角。大於直角。小分之角。小於直角。終無有角等於直角。又從小過大。從大過小。非大卽小。終無相等。係此題四五論、甚明。與本篇十六題增注、互相發也。
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