Heron Alexandrinus, Belopoiica, 1918

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    <archimedes>
      <text>
        <body>
          <chap>
            <p n="33">
              <s id="id.000167">
                <pb pagenum="49"/>
                <lb n="33,33"/>
              τριπλασίονα λόγον ἤπερ ἡ ΑΒ
                <lb n="33,34"/>
              πρὸς ΓΔ. </s>
              <s id="id.000168">ἔστιν ἄρα, ὡς ὁ ἀπὸ
                <lb n="33,35"/>
              τῆς ΑΒ κύλινδρος πρὸς τὸν ἀπὸ
                <lb n="33,36"/>
              τῆς ΓΔ κύλινδρον, οὕτως ἡ ΑΒ
                <lb n="33,37"/>
              πρὸς ΗΘ. </s>
              <s id="id.000169">τρίτον δὲ μέρος ἐστὶν
                <lb n="33,38"/>
              ὁ ἀπὸ τῆς ΑΒ κύλινδρος τοῦ
                <lb n="33,39"/>
              ἀπὸ τῆς ΓΔ κυλίνδρου· καὶ ἡ ΑΒ
                <lb n="33,40"/>
              ἄρα τρίτον μέρος ἐστὶν τῆς ΗΘ.
                <lb n="33,41"/>
              </s>
              <s id="id.000170">καὶ ἔστι δοθεῖσα ἡ ΑΒ, δοθεῖσα
                <lb n="33,42"/>
              ἄρα καὶ ἡ ΗΘ· καὶ εἰσὶν τῶν
                <lb n="33,43"/>
              ΑΒ ΗΘ δύο μέσαι ἀνὰ λόγον αἱ
                <lb n="33,44"/>
              ΓΔ ΕΖ· δοθεῖσα ἄρα ἐστὶν ἡ ΓΔ·
                <lb n="33,45"/>
              δεήσει ἄρα εἰς τὴν ὀργανικὴν
                <lb n="33,46"/>
              κατασκευὴν λαβεῖν τῆς ΑΒ τρι­
                <lb n="33,47"/>
              πλασίαν τὴν ΗΘ, ἐπειδήπερ τὸ
                <lb n="33,48"/>
              βέλος τοῦ βέλους ἐστὶν τριπλάσιον,
                <lb n="33,49"/>
              καὶ τῶν ΑΒ ΗΘ δύο μέσας ἀνὰ
                <lb n="33,50"/>
              λόγον λαβεῖν τὰς ΓΔ ΕΖ, καὶ
                <lb n="33,51"/>
              ἔσται ἡ τοῦ ζητουμένου τρήματος
                <lb n="33,52"/>
              διάμετρος ἡ ΓΔ.
                <lb n="33,53"/>
              </s>
              <s id="id.000171">Ὡς δὲ δεῖ, δύο δοθεισῶν
                <lb n="33,54"/>
              εὐθειῶν, δύο μέσας ἀνὰ λόγον
                <lb n="33,55"/>
              λαβεῖν, ἑξῆς ἐροῦμεν.
                <lb n="33,56"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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