Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

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        <div xml:id="echoid-div4" type="section" level="1" n="4">
          <head xml:id="echoid-head7" xml:space="preserve">PREFACE.</head>
          <p>
            <s xml:id="echoid-s5" xml:space="preserve">OF the twelve Analytical Treatiſes recited by Pappus in
              <lb/>
            his Preface to the 7th Book of his Mathematical Col-
              <lb/>
            lections, we have very little of the Originals remaining, viz.
              <lb/>
            </s>
            <s xml:id="echoid-s6" xml:space="preserve">only Euclid’s Data, and part of Apollonius’s Conics. </s>
            <s xml:id="echoid-s7" xml:space="preserve">The
              <lb/>
            loſs of the reſt is very much to be lamented by all Lovers of
              <lb/>
            the Mathematics. </s>
            <s xml:id="echoid-s8" xml:space="preserve">“ Valde quidem dolendum eſt quod re-
              <lb/>
            liqui tractatus Veterum Analytici, a Pappo memorati,
              <lb/>
            aut perierint, aut nondum lucem conſpexerint. </s>
            <s xml:id="echoid-s9" xml:space="preserve">Nam
              <lb/>
            minime dubito quin eorum nonnulli, Arabicè ſaltem
              <lb/>
            verſi, alicubi terrarum lateant, pulvere magis quam tene-
              <lb/>
            bris ſuis involuti. </s>
            <s xml:id="echoid-s10" xml:space="preserve">” Dr. </s>
            <s xml:id="echoid-s11" xml:space="preserve">
              <emph style="sc">Halley’s</emph>
              <emph style="sc">Preface</emph>
            to his
              <emph style="sc">Apol</emph>
            -
              <lb/>
              <emph style="sc">LONIUS DE</emph>
              <emph style="sc">Sectione</emph>
              <emph style="sc">Rationis et</emph>
              <emph style="sc">Spatii</emph>
            .</s>
            <s xml:id="echoid-s12" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13" xml:space="preserve">
              <emph style="sc">Some</emph>
            ingenious men have attempted, from the account of
              <lb/>
            them given by Pappus, to reſtore ſome of theſe loſt Trea-
              <lb/>
            tiſes. </s>
            <s xml:id="echoid-s14" xml:space="preserve">Snellius has endeavoured to give us the Books
              <emph style="sc">De</emph>
              <lb/>
              <emph style="sc">Sectione</emph>
              <emph style="sc">Rationis</emph>
            ,
              <emph style="sc">De</emph>
              <emph style="sc">Sectione</emph>
              <emph style="sc">Spatii</emph>
            , and
              <emph style="sc">De</emph>
              <emph style="sc">Sec</emph>
            -
              <lb/>
              <emph style="sc">TIONE</emph>
              <emph style="sc">Determinata</emph>
            . </s>
            <s xml:id="echoid-s15" xml:space="preserve">Fermat and Schooten have laboured
              <lb/>
            in the Treatiſe
              <emph style="sc">De</emph>
              <emph style="sc">Locis</emph>
              <emph style="sc">Planis</emph>
            ; </s>
            <s xml:id="echoid-s16" xml:space="preserve">and Marinus Ghetaldus
              <lb/>
            in that
              <emph style="sc">De</emph>
              <emph style="sc">Inclinationibus</emph>
            . </s>
            <s xml:id="echoid-s17" xml:space="preserve">But thoſe who have ſuc-
              <lb/>
            ceeded beſt, and done the moſt this way, are two </s>
          </p>
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