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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[61.] THE PREFACE.
[62.] PROBLEMS CONCERNING DETERMINATE SECTION. PROBLEM I.
[63.] LEMMA I.
[64.] LEMMA II.
[65.] LEMMA III.
[66.] PROBLEM II.
[67.] LEMMA IV.
[68.] LEMMA V.
[69.] PROBLEM III.
[70.] PROBLEM IV.
[71.] DETERMINATE SECTION. BOOK I. PROBLEM I. (Fig. 1.)
[72.] PROBLEM II. (Fig. 2 and 3.)
[73.] PROBLEM III. (Fig. 4. and 5.)
[74.] PROBLEM IV. (Fig. 6. 7. and 8.)
[75.] PROBLEM V. (Fig. 9. 10. 11. 12. 13. 14. 15. 16.)
[76.] PROBLEM VI. (Fig. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26.)
[77.] THE END OF BOOK I.
[78.] DETERMINATE SECTION. BOOK II. LEMMA I.
[79.] LEMMA II.
[80.] LEMMA III.
[81.] LEMMA IV.
[82.] LEMMA V.
[83.] PROBLEM VII. (Fig. 32, 33, 34, &c.)
[84.] PROBLEM I. (Fig. 32 to 45.)
[85.] PROBLEM II. (Fig. 46 to 57.)
[86.] PROBLEM III.
[87.] THE END.
[88.] A SYNOPSIS OF ALL THE DATA FOR THE Conſtruction of Triangles, FROM WHICH GEOMETRICAL SOLUTIONS Have hitherto been in Print.
[89.] By JOHN LAWSON, B. D. Rector of Swanscombe, in KENT. ROCHESTER:
[90.] MDCCLXXIII. [Price One Shilling.]
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          <head xml:id="echoid-head70" xml:space="preserve">ADVERTISEMENT.</head>
          <p>
            <s xml:id="echoid-s928" xml:space="preserve">SINCE the publication of the preceding Tract on
              <lb/>
              <emph style="sc">Tangencies</emph>
            , the Tranſlator thereof has obſerved,
              <lb/>
            that thoſe pieces of
              <emph style="sc">Willebrordus</emph>
              <emph style="sc">Snellius</emph>
            , which he
              <lb/>
            mentioned in his Preface thereto, are exceeding ſcarce
              <lb/>
            in England. </s>
            <s xml:id="echoid-s929" xml:space="preserve">His Reſuſcitata Geometria de ſectione rationis
              <lb/>
            & </s>
            <s xml:id="echoid-s930" xml:space="preserve">ſpatii, 1607, he has never once had an opportunity
              <lb/>
            of ſeeing; </s>
            <s xml:id="echoid-s931" xml:space="preserve">but ſuppoſing this ſhould in a ſhort time be
              <lb/>
            loſt, more than ample amends is made by what
              <lb/>
            Dr. </s>
            <s xml:id="echoid-s932" xml:space="preserve">
              <emph style="sc">Halley</emph>
            has done on the ſame ſubject. </s>
            <s xml:id="echoid-s933" xml:space="preserve">Leſt the
              <lb/>
            other Tract, De Sectione Determinatâ, ſhould undergo
              <lb/>
            the ſame fate with the original
              <emph style="sc">Apollonius</emph>
            , he was
              <lb/>
            determined to reſcue it therefrom, or reſpite it at leaſt
              <lb/>
            for ſome time, by putting it into an Engliſh dreſs.
              <lb/>
            </s>
            <s xml:id="echoid-s934" xml:space="preserve">While he was doing this, he happened to communicate
              <lb/>
            the piece to ſome friends; </s>
            <s xml:id="echoid-s935" xml:space="preserve">one of whom has ventured,
              <lb/>
            after
              <emph style="sc">Snellius</emph>
            , on this ſubject, and he preſumes with ſome
              <lb/>
            ſucceſs, as every Reader will allow, when he peruſes the
              <lb/>
            Propoſitions here printed after thoſe of
              <emph style="sc">Snellius</emph>
            . </s>
            <s xml:id="echoid-s936" xml:space="preserve">Yet,
              <lb/>
            notwithſtanding this, the Editor perſiſted in his reſolu-
              <lb/>
            tion of printing his tranſlation of
              <emph style="sc">Snellius</emph>
            , as the </s>
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