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

Table of contents

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[31.] PROBLEM II.
[32.] PROBLEM III.
[33.] PROBLEM IV.
[34.] PROBLEM V.
[35.] PROBLEM VI.
[36.] General Solution.
[37.] A SECOND SUPPLEMENT, BEING Monſ. DE FERMAT’S Treatiſe on Spherical Tangencies. PROBLEM I.
[38.] PROBLEM II.
[39.] PROBLEM III.
[40.] PROBLEM IV.
[41.] PROBLEM V.
[42.] PROBLEM VI.
[43.] PROBLEM VII.
[44.] LEMMA I.
[45.] LEMMA II.
[46.] LEMMA III.
[47.] LEMMA IV.
[48.] LEMMA V.
[49.] PROBLEM VIII.
[50.] PROBLEM IX.
[51.] PROBLEM X.
[52.] PROBLEM XI.
[53.] PROBLEM XII.
[54.] PROBLEM XIII.
[55.] PROBLEM XIV.
[56.] PROBLEM XV.
[57.] Synopſis of the PROBLEMS.
[58.] THE TWO BOOKS OF APOLLONIUS PERGÆUS, CONCERNING DETERMINATE SECTION, As they have been Reſtored by WILLEBRORDUS SNELLIUS. By JOHN LAWSON, B. D. Rector of Swanſcombe, Kent. TO WHICH ARE ADDED, THE SAME TWO BOOKS, BY WILLIAM WALES, BEING AN ENTIRE NEW WORK. LONDON: Printed by G. BIGG, Succeſſor to D. LEACH. And ſold by B. White, in Fleet-Street; L. Davis, in Holborne; J. Nourse, in the Strand; and T. Payne, near the Mews-Gate. MDCC LXXII.
[59.] ADVERTISEMENT.
[60.] EXTRACT from PAPPUS's Preface to his Seventh Book in Dr. HALLEY's Tranſlation. DE SECTIONE DETERMINATA II.
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            parable Mathematicians of our own Country, Dr. </s>
            <s xml:id="echoid-s18" xml:space="preserve">Halley
              <lb/>
            and Dr. </s>
            <s xml:id="echoid-s19" xml:space="preserve">Simſon, to whom the World is very much obliged
              <lb/>
            for their Geometrical Labours. </s>
            <s xml:id="echoid-s20" xml:space="preserve">The firſt of theſe, from an
              <lb/>
            Arabic MS in the Bodleian Library, has reſtored the Books
              <lb/>
              <emph style="sc">De</emph>
              <emph style="sc">Sectione</emph>
              <emph style="sc">Rationis</emph>
            ; </s>
            <s xml:id="echoid-s21" xml:space="preserve">and from his own Sagacity ſup-
              <lb/>
            plied thoſe
              <emph style="sc">De</emph>
              <emph style="sc">Sectione</emph>
              <emph style="sc">Spatii</emph>
            : </s>
            <s xml:id="echoid-s22" xml:space="preserve">and the other has with
              <lb/>
            equal pains and ingenuity completed thoſe
              <emph style="sc">De</emph>
              <emph style="sc">Loc
                <unsure/>
              is</emph>
              <emph style="sc">Planis</emph>
            .</s>
            <s xml:id="echoid-s23" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s24" xml:space="preserve">As to the Treatiſe
              <emph style="sc">De</emph>
              <emph style="sc">Tactionibus</emph>
            , which I now give
              <lb/>
            the Engliſh Reader, it has been reſtored by Vieta under the
              <lb/>
            Title of Apollonius Gallus, and his Deficiencies ſupplied by
              <lb/>
            Marinus Ghetaldus. </s>
            <s xml:id="echoid-s25" xml:space="preserve">I have endeavoured to do Juſtice to my
              <lb/>
            Authors by all poſſible Care both in the Text and in the
              <lb/>
            Figures; </s>
            <s xml:id="echoid-s26" xml:space="preserve">and have added a few Propoſitions of my own, by
              <lb/>
            way of Supplement, in which I have propoſed Ghetaldus’s
              <lb/>
            Problems over again without a Determination, and have
              <lb/>
            found the
              <emph style="sc">Locus</emph>
            of the center of the circle required, which
              <lb/>
            I have not ſeen done before in any Author.</s>
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