Pappus Alexandrinus, Mathematical Collection, Book 8, 1876

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
< >
page |< < of 58 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p>
              <s id="id.000330">
                <pb n="1128"/>
              μένας γραμμήν. </s>
              <s id="id.000331">καλεῖται δὲ ὁ μὲν τετράγωνος, ὁ δὲ φα-
                <lb n="1"/>
              κωτός.
                <lb n="2"/>
              </s>
            </p>
            <p>
              <s id="id.000332">Ὅταν μὲν οὖν αὐτὸς καθ' αὐτὸν ὁ κοχλίας ἐνεργῇ,
                <lb n="3"/>
              ταύτην λαμβάνει τὴν κατασκευήν, γίνεται δὲ καὶ ἑτέρως·
                <lb n="4"/>
                <figure place="text" number="22"/>
              προσλαβόντες γάρ τινα
                <lb n="5"/>
              ἑτέραν δύναμιν τὴν διὰ
                <lb n="6"/>
              τοῦ ἄξονος τοῦ ἐν τῷ
                <lb n="7"/>
              περιτροχίῳ καλουμένου
                <lb n="8"/>
              [κατασκευὴν] νοήσομεν
                <lb n="9"/>
              τὸ περὶ τὸν ἄξονα τύμ-
                <lb n="10"/>
              πανον ὠδοντωμένον εἶ-
                <lb n="11"/>
              ναι, κοχλίαν δέ τινα
                <lb n="12"/>
              παρακεῖσθαι τῷ τυμ-
                <lb n="13"/>
              πάνῳ ἤτοι ὀρθὸν κεί-
                <lb n="14"/>
              μενον πρὸς τὸ ἔδαφος
                <lb n="15"/>
              ἢ παράλληλον τῷ ἐδά-
                <lb n="16"/>
              φει, ἔχοντα τὴν μὲν
                <lb n="17"/>
              ἕλικα ἐμπεπλεγμένην
                <lb n="18"/>
              τοῖς ὀδοῦσι τοῦ τυμπά-
                <lb n="19"/>
              νου τὰ δὲ ἄκρα ἐν στρογ-
                <lb n="20"/>
              γύλοις τρήμασιν πολευό-
                <lb n="21"/>
              μενα ἔν τισιν διαπήγμα-
                <lb n="22"/>
              σιν, καθάπερ καὶ προεί-
                <lb n="23"/>
              ρηται, καὶ ὑπεροχῆς
                <lb n="24"/>
              οὔσης τοῦ ἄκρου τοῦ
                <lb n="25"/>
              κοχλίου εἰς τὸ ἐκτὸς τοῦ
                <lb n="26"/>
              διαπήγματος μέρος, ἤτοι
                <lb n="27"/>
              χειρολάβην τινὰ περικεῖσθαι, δι' ἧς ἐπιστραφήσεται ὁ
                <lb n="28"/>
              κοχλίας, ἢ τρήματα, ὥστε σκυταλῶν ἐμβληθεισῶν ὁμοίως
                <lb n="29"/>
              ἐπιστρέφεσθαι· αὐτόν. </s>
              <s id="id.000333">πάλιν οὖν τὰ ἐκ τοῦ φορτίου ὅπλα
                <lb n="30"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum