Pappus Alexandrinus, Mathematical Collection, Book 8, 1876

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    <archimedes>
      <text>
        <body>
          <chap>
            <p>
              <s id="id.000310">
                <pb n="1120"/>
              ἐξ αὐτοῦ ἐπισπώμεθα τοσαύτῃ βίᾳ, ὅση τῷ φορτίῳ ἰσόρ-
                <lb n="1"/>
              ροπός ἐστιν. </s>
              <s id="id.000311">ἐὰν δὲ ἑλκύσαντες ἐκ τοῦ φορτίου τὸ ὅπλον
                <lb n="2"/>
              τὴν μὲν μίαν αὐτοῦ ἀρχὴν ἐκδήσωμεν ἔκ τινος μένοντος
                <lb n="3"/>
              χωρίου, τὴν δὲ ἑτέραν βάλωμεν διὰ τροχίλου ἐκδεδεμένου
                <lb n="4"/>
              ἐκ τοῦ φορτίου καὶ ταύτην ἐπισπώμεθα, εὐχερέστερον κι-
                <lb n="5"/>
              νήσομεν τὸ βάρος. </s>
              <s id="id.000312">πάλιν δὲ ἐὰν ἐκ τοῦ μένοντος χωρίου
                <lb n="6"/>
              ἐξάψωμεν ἕτερον τροχίλον καὶ τὴν ἀγομένην ἀρχὴν διαβα-
                <lb n="7"/>
              λόντες διὰ τούτου ἐπισπώμεθα, ἔτι μᾶλλον εὐχερέστερον
                <lb n="8"/>
              κινήσομεν τὸ βάρος. </s>
              <s id="id.000313">καὶ πάλιν ἐὰν ἐκ τοῦ φορτίου τροχί-
                <lb n="9"/>
              λον ἕτερον ἐκδήσωμεν καὶ τὴν ἀγομένην ἀρχὴν διὰ τούτου
                <lb n="10"/>
              διαβαλόντες ἐπισπώμεθα, πολλῷ μᾶλλον εὐχερέστερον κι-
                <lb n="11"/>
              νήσομεν τὸ βάρος ** ἀεὶ τροχίλους ἔκ τε τοῦ μένοντος χω-
                <lb n="12"/>
              ρίου ἐξάπτοντες καὶ ἐκ τοῦ φορτίου καὶ διαβάλλοντες
                <lb n="13"/>
              ἐναλλὰξ τὴν ἀγομένην ἀρχὴν εἰς τοὺς τροχίλους εὐχερέστε-
                <lb n="14"/>
              ρον κινήσομεν τὸ βάρος. </s>
              <s id="id.000314">[ὅσῳ δ' ἂν εἰς πλείονα κῶλα τὸ
                <lb n="15"/>
              ὅπλον κάμπτηται, τὸ βάρος εὐκοπώτερον κινηθήσεται· δεῖ
                <lb n="16"/>
              δὲ τὴν ἐκδεννυμένην ἀρχὴν ἐκ τοῦ μένοντος χωρίου ἐξάπτε-
                <lb n="17"/>
              σθαι.]</s>
              <s id="id.000315"> ἵνα οὖν μὴ καθ' ἕνα τοὺς τροχίλους ἔκ τε τοῦ μέ-
                <lb n="18"/>
              νοντος χωρίου καὶ ἐκ τοῦ φορτίου ἐξάπτωμεν, οἱ μὲν εἰρη-
                <lb n="19"/>
              μένοι εἰς τὸ μένον εἶναι χωρίον εἰς ἓν ξύλον ἐντίθενται
                <lb n="20"/>
              περὶ ἄξονας κινούμενοι, ὃ καλεῖται μάγγανον, τοῦτο δὲ
                <lb n="21"/>
              ἐξάπτεται ἐκ τοῦ μένοντος χωρίου διά τινος ἑτέρου ὅπλου,
                <lb n="22"/>
              οἱ δὲ πρὸς τῷ φορτίῳ εἰς ἕτερον μάγγανον τούτῳ ἴσον, ὃ δὴ
                <lb n="23"/>
              πάλιν ἐξάπτεται ἐκ τοῦ φορτίου μόνον. </s>
              <s id="id.000316">οὕτως δὲ δεῖ κατα-
                <lb n="24"/>
              τετάχθαι ἐν τοῖς μαγγάνοις τοὺς τροχίλους, ὥστε τὰ κῶλα
                <lb n="25"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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