Pappus Alexandrinus, Mathematical Collection, Book 8, 1876

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
< >
page |< < of 58 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p>
              <s id="id.000256">
                <pb n="1102"/>
              μιᾶς ὀρθῆς καὶ γ#. </s>
              <s id="id.000257">ἐὰν οὖν ἔχωμεν κύκλον, οὗ κέντρον τὸ Η,
                <lb n="1"/>
              ἴσην ἔχοντα τὴν ἐκ τοῦ κέντρου τῇ ΑΖ εὐθείᾳ, καὶ διαγά-
                <lb n="2"/>
              γωμεν ἀπὸ τοῦ κέντρου αὐτοῦ τὴν ΗΞ εὐθεῖαν, καὶ ἴσην
                <lb n="3"/>
              θῶμεν τῇ ΖΒ τὴν ΗΛ εὐθεῖαν, καὶ πρὸς τῇ ΗΛ εὐθείᾳ
                <lb n="4"/>
              καὶ τῷ Λ σημείῳ ἴσην γωνίαν συστησώμεθα τὴν ὑπὸ ΗΛΝ
                <lb n="5"/>
              τῇ ὑπὸ ΖΒΑ, καὶ ἐπιζεύξωμεν τὴν ΗΝ, ἰσογώνιον γίνεται
                <figure place="text" number="17"/>
                <lb n="6"/>
              τὸ ΗΛΝ τρίγωνον τῷ ΑΖΒ τριγώνῳ. </s>
              <s id="id.000258">καὶ ἔστιν ἡ ΑΖ
                <lb n="7"/>
              ἴση τῇ ΗΝ· ἴση ἄρα καὶ ἡ ΝΛ τῇ ΑΒ. </s>
              <s id="id.000259">καὶ φανερὸν ὅτι
                <lb n="8"/>
              ἀπὸ τῆς ἴσης τῇ ΑΒ εὐθείας γίνεται ἡ τῶν ζ# εἰς τὸν
                <lb n="9"/>
              κύκλον ἑξαγώνων ἐγγραφή.
                <lb n="10"/>
              </s>
            </p>
            <p>
              <s id="id.000259a">̔Tηεσε σεξτιονς μισσινγ φρομ Gρεεκ τεχτ.̓</s>
            </p>
            <p>
              <s id="id.000260">κε#. </s>
              <s id="id.000261">Πῶς δὲ καὶ ἡ τῶν προειρημένων τυμπάνων γίνεται
                <lb n="11"/>
              παράθεσις, νῦν ἐροῦμεν.
                <lb n="12"/>
              </s>
            </p>
            <p>
              <s id="id.000262">Ἔστω γὰρ δύο τύμπανα ἔντορνα καὶ παρακείμενα ἀλ-
                <lb n="13"/>
              λήλοις τὰ Α Β, καὶ ἔστω ὡς ἡ διάμετρος τοῦ Α πρὸς τὴν
                <lb n="14"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum