Heron Alexandrinus
,
Belopoiica
,
1918
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<
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">Ἔστωσαν αἱ δύο δοθεῖσαι εὐθεῖαι
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αἱ ΑΒ, ΒΓ πρὸς ὀρθὰς [2ἀλλήλοισ]2
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κείμεναι. </
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">ὧν δεῖ δύο μέσας ἀνὰ
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λόγον εὑρεῖν καὶ συμπεπληρώσθω
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τὸ ΑΒΓΔ παραληλλόγραμμον.
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">καὶ ἐπεζεύχθωσαν αἱ ΑΓ, ΒΔ.
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">καὶ ἐκβεβλήσθωσαν αἱ ΔΓ, ΔΑ·
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καὶ παρακείσθω παρὰ τὸ Β σημεῖον
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κανὼν τέμνων τὰς ἐκβαλλομένας
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εὐθείας, καὶ κινείσθω ὁ εἰρημένος
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κανὼν περὶ τὸ Β σημεῖον, ἄχρις
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ἂν αἱ ἀπὸ τοῦ Ε ἐπὶ τὰς τομὰς
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ἐπιζευγνύμεναι ἴσαι ἀλλήλαις ὦσι·
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καὶ ἔστω ὁ μὲν κανὼν θέσιν
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εἰληφὼς οἵαν ἔχει ἡ ΖΒΗ εὐθεῖα·
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αἱ δὲ ἄλλαι δύο εὐθεῖαι αἱ ΕΖ, ΕΗ.
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<
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