Pappus Alexandrinus, Mathematical Collection, Book 8, 1876

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    <archimedes>
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            <p>
              <s id="id.000042">
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              μὲν ΑΖ τῆς ΖΔ, ἡ δὲ ΒΖ τῆς ΖΕ, καὶ ὅτι ὡς ἡ ΓΑ πρὸς
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              ΑΕ, οὕτως ἡ ΑΒ πρὸς ΔΕ καὶ ἡ ΒΖ πρὸς ΖΕ καὶ ἡ ΑΖ πρὸς
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              ΖΔ διὰ τὸ ἰσογώνια εἶναι καὶ τὰ ΔΖΕ ΑΒΖ τρίγωνα καὶ τὰ
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              ΓΔΕ ΑΒΓ. </s>
              <s id="id.000043">ἐπιζευχθεῖσα οὖν ἡ ΔΕ τεμνέτω τὴν ΘΚ κατὰ τὸ
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              Λ. </s>
              <s id="id.000044">ἐπεὶ οὖν ὁ τῆς ΒΘ πρὸς ΘΓ λόγος συνῆπται ἔκ τε
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              τοῦ τῆς ΘΒ πρὸς ΔΘ καὶ τοῦ τῆς ΔΘ πρὸς ΘΓ, καὶ ἔστιν
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              συνθέντι ὡς ἡ ΒΓ πρὸς ΓΘ, ἡ ΓΑ πρὸς ΑΚ, καὶ τῶν
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              ἡγουμένων τὰ ἡμίση ὡς ΓΔ πρὸς ΓΘ, ἡ ΕΑ πρὸς ΑΚ,
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              καὶ ἀναστρέψαντι ὡς ἡ ΓΔ πρὸς ΔΘ, ἡ ΑΕ πρὸς ΕΚ, ἴση
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              δὲ ἡ μὲν ΓΔ τῇ ΒΔ, ἡ δὲ ΑΕ τῇ ΓΕ, καὶ ὡς ἄρα ἡ ΒΔ
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              πρὸς ΔΘ, ἡ ΓΕ πρὸς ΕΚ· συνθέντι ἄρα ὡς ἡ ΒΘ πρὸς
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              ΘΔ, ἡ ΓΚ πρὸς ΚΕ· σύγκειται ἄρα καὶ ὁ τῆς ΑΗ πρὸς
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              ΗΒ λόγος ἔκ τε τοῦ τῆς ΓΚ πρὸς ΚΕ καὶ τοῦ τῆς ΔΘ
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                <figure place="text" number="1"/>
              πρὸς ΘΓ. </s>
              <s id="id.000045">σύγκειται δ' ἐκ
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              τῶν αὐτῶν καὶ ὁ τῆς ΔΛ
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              πρὸς ΛΕ [καὶ ἴση ἐστὶν ἡ
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              ΘΛ τῇ ΛΚ], ὡς δειχθή-
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              σεται· ἔστιν ἄρα καὶ ὡς ἡ
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              ΑΗ πρὸς ΗΒ, ἡ ΔΛ
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              πρὸς ΛΕ. </s>
              <s id="id.000046">καὶ εἰσὶν παρ-
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              άλληλοι αἱ ΑΒ ΔΕ, καὶ
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              ἐπεζευγμέναι αἱ ΑΔ ΒΕ
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              τέμνουσιν ἀλλήλας κατὰ
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              τὸ Ζ· εὐθεῖα ἄρα ἐστὶν
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              ἡ διὰ τῶν Η Ζ Λ· καὶ
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              τοῦτο γὰρ ἑξῆς [εἰ μικρόν ἐστιν]. </s>
              <s id="id.000047">καὶ ἐπεί ἐστιν ὡς ἡ ΒΖ
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              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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