Pappus Alexandrinus, Mathematical Collection, Book 8, 1876

Table of figures

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[Figure 11]
Page: 31
[Figure 12]
Page: 32
[Figure 13]
Page: 34
[Figure 14]
Page: 35
[Figure 15]
Page: 36
[Figure 16]
Page: 37
[Figure 17]
Page: 41
[Figure 18]
Page: 48
[Figure 19]
Page: 51
[Figure 20]
Page: 52
[Figure 21]
Page: 53
[Figure 22]
Page: 54
[Figure 23]
Page: 55
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    <archimedes>
      <text>
        <body>
          <chap>
            <p>
              <s id="id.000195">
                <pb n="1084"/>
              στος ἴσος ἔσται τῷ τοῦ κυλίνδρου πάχει, καθὼς ἐν ἀρχῇ
                <lb n="1"/>
              προείρηται.
                <lb n="2"/>
              </s>
            </p>
            <p>
              <s id="id.000196">ιη#. </s>
              <s id="id.000197">Σφαίρας μετεώρου δοθεῖσαν θέσιν ἐχούσης πρὸς
                <lb n="3"/>
              τὸ ὑποκείμενον, εὑρεῖν τό τε σημεῖον ἐφ' ὃ πίπτει καθετι-
                <lb n="4"/>
              κῶς ἐνεχθεῖσα [καὶ καθ' ὃ πίπτει σημεῖον] καὶ τὴν ἐλα-
                <lb n="5"/>
              χίστην ἀποτεμνομένην ἀπὸ τῆς καθέτου μεταξὺ τῶν δύο
                <lb n="6"/>
              σημείων τοῦ τε κατὰ τὴν ἐπιφάνειαν τῆς σφαίρας καὶ τοῦ
                <lb n="7"/>
              κατὰ τὸ ἐπίπεδον. </s>
              <s id="id.000198">προγράφεται δὲ τὸ κύκλου δοθέντος με-
                <lb n="8"/>
              τεώρου μὴ ἐν ὀρθῷ ἐπιπέδῳ πρὸς τὸ ὑποκείμενον εὑρεῖν τήν
                <lb n="9"/>
              τε κοινὴν τομὴν τῶν ἐπιπέδων ἀμφοτέρων καὶ τὴν κλίσιν.
                <lb n="10"/>
              </s>
            </p>
            <p>
              <s id="id.000199">Ἔστω μετέωρος κύκλος, καὶ εἰλήφθω ἐπ' αὐτοῦ τρία
                <lb n="11"/>
              σημεῖα τὰ Α Β Γ, καὶ ἤχθωσαν ἀπ' αὐτῶν ἐπὶ τὸ ὑπο-
                <figure place="text" number="12"/>
                <lb n="12"/>
              κείμενον ἐπίπεδον κάθετοι. </s>
              <s id="id.000200">ἀχθήσονται δὲ οὕτως· ἀπὸ
                <lb n="13"/>
              τοῦ Γ προσπεσοῦσα εὐθεῖα πρὸς τὸ ὑποκείμενον ἐπίπεδον
                <lb n="14"/>
              ὡς ἡ ΓΔ περιενηνέχθω καὶ ψαυέτω τοῦ ἐπιπέδου καθ'
                <lb n="15"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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