Pappus Alexandrinus, Mathematical Collection, Book 8, 1876

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            <p>
              <s id="id.000094">
                <pb n="1048"/>
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            </p>
            <p>
              <s id="id.000095">θ#. </s>
              <s id="id.000096">Ἐπίπεδον ἐκκλῖναι, ὥστε τὸ κλίμα αὐτοῦ ἐφ' ἓν
                <lb n="1"/>
              νεύειν σημεῖον δοθέντος ἀκλινοῦς ἐπιπέδου, τουτέστιν παρ-
                <lb n="2"/>
              αλλήλου τῷ ὁρίζοντι, ἐν παραλληλογράμμῳ, τὸ δὲ κλίμα
                <lb n="3"/>
              ἔστω ἐν τῇ δοθείσῃ γωνίᾳ.
                <lb n="4"/>
              </s>
            </p>
            <p>
              <s id="id.000097">Ἔστω τὸ δοθὲν παραλληλόγραμμον πρότερον ἰσόπλευ-
                <lb n="5"/>
              ρον τὸ ΑΒΓΔ, ἡ δὲ δοθεῖσα γωνία, ἐν ᾗ βουλόμεθα ἐκ-
                <figure place="text" number="4"/>
                <lb n="6"/>
              κλῖναι τὸ ἐπίπεδον, ἡ ὑπὸ ΕΖΗ, ἀπὸ δὲ τῶν Α Β Δ
                <lb n="7"/>
              σημείων τῷ ὑποκειμένῳ ἐπιπέδῳ πρὸς ὀρθὰς ἀνεστάτωσαν
                <lb n="8"/>
              αἱ ΑΘ ΒΚ ΔΛ, τὸ δὲ Γ σημεῖον ἔστω ὅπου βουλόμεθα
                <lb n="9"/>
              τὴν κλίσιν νεύειν, καὶ τῇ μὲν ΑΓ ἐπιζευχθείσῃ ἴση κείσθω
                <lb n="10"/>
              ἡ ΖΗ, τῇ δὲ ΖΗ πρὸς ὀρθὰς ἤχθω ἡ ΕΗ, τῇ δὲ ΗΕ ἴση
                <lb n="11"/>
              κείσθω ἡ ΑΘ. </s>
              <s id="id.000098">ἐὰν δὴ νοήσωμεν ἐπεζευγμένην τὴν ΘΓ,
                <lb n="12"/>
              ἔσται ἡ ὑπὸ ΘΓΑ γωνία τῆς κλίσεως τῶν ἐπιπέδων. </s>
              <s id="id.000099">ἤχθω
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              δὴ καὶ ἀπὸ τοῦ Β ἐπὶ τὴν ΑΓ κάθετος ἡ ΒΜ, καὶ τῇ ΓΜ
                <lb n="14"/>
              ἴση κείσθω ἡ ΖΝ, τῇ δὲ ΖΗ πρὸς ὀρθὰς ἤχθω ἡ ΝΞ, τῇ
                <lb n="15"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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