Heron Alexandrinus, Mechanicorum Fragmenta, 1899

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    <archimedes>
      <text>
        <body>
          <chap n="2">
            <p n="18">
              <s id="id.000090">
                <pb pagenum="292"/>
              </s>
            </p>
            <p n="35">
              <s id="id.000091">Τὸ μὲν οὖν μάλιστα συνέχον τὴν κεντροβαρικὴν
                <lb n="1"/>
              πραγματείαν τοῦτ' ἂν εἴη, μάθοις δ' ἂν τὰ μὲν στοι­
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              χειώδη ὄντα διὰ ταύτης δεικνύμενα τοῖς Ἀρχιμήδους
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              Περὶ ἰσορροπιῶν ἐντυχὼν καὶ τοῖς Ἥρωνος Μηχανι­
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              κοῖς, ὅσα δὲ μὴ γνώριμα τοῖς πολλοῖς γράψομεν ἐφε­
                <lb n="5"/>
              ξῆς, οἷον τὰ τοιαῦτα.
                <lb n="6"/>
              </s>
              <s id="id.000092">Ἔστω τρίγωνον τὸ ΑΒΓ
                <gap/>
              τετμήσθωσαν γὰρ
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              αἱ ΒΓ, ΓΑ δίχα τοῖς Δ, Ε, καὶ ἐπεζεύχθωσαν αἱ ΑΔ,
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              ΒΕ [τὸ Ζ ἄρα κέντρον βάρους ἐστὶν τοῦ ΑΒΓ τρι­
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              γώνου]. </s>
              <s id="id.000093">ἐὰν γὰρ τὸ τρίγωνον ἐπί τινος ὀρθοῦ ἐπι­
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              πέδου ἐπισταθῇ κατὰ τὴν ΑΔ εὐθεῖαν, ἐπ' οὐδέτερον
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              μέρος ῥέψει τὸ τρίγωνον διὰ τὸ ἴσον εἶναι τὸ ΑΒΔ
                <lb n="12"/>
              τρίγωνον τῷ ΑΓΔ τριγώνῳ. </s>
              <s id="id.000094">ἐπισταθὲν δὲ ὁμοίως
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              τὸ ΑΒΓ τρίγωνον κατὰ τὴν ΒΕ ἐπὶ τοῦ ὀρθοῦ ἐπι­
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              πέδου ἐπ' οὐδέτερον μέρος ῥέψει διὰ τὸ ἴσα εἶναι τὰ
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              ΑΒΕ, ΓΒΕ τρίγωνα. </s>
              <s id="id.000095">εἰ δὲ ἐφ' ἑκατέρας τῶν ΑΔ,
                <lb n="16"/>
              ΒΕ ἰσορροπεῖ τὸ τρίγωνον, τὸ ἄρα κοινὸν αὐτῶν ση­
                <lb n="17"/>
              μεῖον τὸ Ζ κέντρον ἔσται τοῦ βάρους. </s>
              <s id="id.000096">νοεῖν δὲ δεῖ
                <lb n="18"/>
              τὸ Ζ, ὡς προείρηται, κείμενον ἐν μέσῳ τοῦ ΑΒΓ
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              τριγώνου ἰσοπαχοῦς τε καὶ ἰσοβαροῦς δηλονότι ὑποκει­
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              μένου. </s>
              <s id="id.000097">καὶ φανερὸν ὅτι διπλασία ἐστὶν ἡ μὲν ΑΖ
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              τῆς ΖΔ, ἡ δὲ ΒΖ τῆς ΖΕ, καὶ ὅτι ὡς ἡ ΓΑ πρὸς
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              ΓΕ, οὕτως ἡ ΑΒ πρὸς ΔΕ καὶ ἡ ΒΖ πρὸς ΖΕ καὶ
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              ἡ ΑΖ πρὸς ΖΔ διὰ τὸ ἰσογώνια εἶναι καὶ τὰ ΔΖΕ, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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