Pappus Alexandrinus, Mathematical Collection, Book 8, 1876

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            <p>
              <s id="id.000191">
                <pb n="1082"/>
              </s>
            </p>
            <p>
              <s id="id.000192">ιζ#. </s>
              <s id="id.000193">Ῥᾴδιον δὲ συζυγῶν διαμέτρων ἐλλείψεως πορισθει-
                <lb n="1"/>
              σῶν ὡντινωνοῦν τοὺσ ἄξονας αὐτῆς ὀργανικῶς εὑρεῖν. </s>
              <s id="id.000194">με-
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              θοδεύεται δὲ τὸν τρόπον τοῦτον.
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              </s>
            </p>
            <p>
              <s id="id.000195">Ἐκκείσθωσαν αἱ προευρεθεῖσαι τῆς ἐλλείψεως διάμε-
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              τροι συζυγεῖς αἱ ΑΒ ΓΔ δίχα τέμνουσαι ἀλλήλας κατὰ
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              τὸ Ε, καὶ διὰ μὲν τοῦ Α τῇ ΓΔ παράλληλος ἤχθω ἡ ΖΗ,
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              τῷ δὲ ἀπὸ ΔΕ ἴσον κείσθω τὸ ὑπὸ ΕΑΘ, καὶ ἡ ΕΘ δίχα
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              τετμήσθω κατὰ τὸ Κ· ἔσται δὴ τὸ Κ μεταξὺ τῶν Α Θ [1μεί-
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              ζων γάρ ἐστιν ἡ ΔΕ τῆς ΕΑ]1, καὶ τῇ ΕΘ πρὸς ὀρθὰς ἀπὸ
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              τοῦ Κ ἤχθω ἡ ΚΛ τέμνουσα τὴν ΖΗ κατὰ τὸ Λ, καὶ περὶ
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              κέντρον τὸ Λ διὰ τοῦ Ε γραφομένη κύκλου περιφέρεια τεμ-
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              νέτω τὴν ΗΖ κατὰ τὰ Ζ Η, καὶ ἐπεζεύχθωσαν αἱ ΕΗ
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              ΕΖ, καὶ κάθετοι ἤχθωσαν ἐπ' αὐτὰς αἱ ΑΜ ΑΝ, καὶ τῷ
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              μὲν ὑπὸ ΗΕΜ ἴσον κείσθω ἑκάτερον τῶν ἀπὸ ΕΟ ΕΠ,
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              τῷ δὲ ὑπὸ ΖΕΝ ἑκάτερον τῶν ἀπὸ ΕΡ ΕΣ· ἔσονται οὖν
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              εὑρημένοι τῆς ἐλλείψεως ἄξονες οἱ ΟΠ ΡΣ, ὧν ὁ ἐλάχι-
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              </s>
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        </body>
      </text>
    </archimedes>
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