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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[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.
[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.
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              <pb o="[iv]" file="0062" n="69"/>
            autem primus liber Problemata ſex, Epitagmata, ſive
              <lb/>
            Diſpoſitiones punctorum, ſedecim; </s>
            <s xml:id="echoid-s956" xml:space="preserve">Dioriſmos quinque:
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            </s>
            <s xml:id="echoid-s957" xml:space="preserve">quorum quatuor quidem Maximi ſunt, Minimus vero
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            unus. </s>
            <s xml:id="echoid-s958" xml:space="preserve">Sunt autem maximi, ad ſecundum Epitagma ſe-
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            cundi problematis; </s>
            <s xml:id="echoid-s959" xml:space="preserve">item ad tertium quarti problematis; </s>
            <s xml:id="echoid-s960" xml:space="preserve">
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            ad tertium quinti & </s>
            <s xml:id="echoid-s961" xml:space="preserve">ad tertium ſexti. </s>
            <s xml:id="echoid-s962" xml:space="preserve">Minimus vero
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            eſt ad tertium Epitagma tertii problematis.</s>
            <s xml:id="echoid-s963" xml:space="preserve">-Secundus
              <lb/>
            liber de Sectione Determinatâ tria habet Problemata,
              <lb/>
            Diſpoſitiones novem, Determinationes tres; </s>
            <s xml:id="echoid-s964" xml:space="preserve">e quibus
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            Minima ſunt ad tertium primi, ut & </s>
            <s xml:id="echoid-s965" xml:space="preserve">ad tertium ſecun-
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            di; </s>
            <s xml:id="echoid-s966" xml:space="preserve">Maximum autem eſt ad tertium tertii problematis. </s>
            <s xml:id="echoid-s967" xml:space="preserve">
              <lb/>
            -Lemmata habit liber primus XXVII, ſecundus vero
              <lb/>
            XXIV. </s>
            <s xml:id="echoid-s968" xml:space="preserve">Inſunt autem in utroque libro de Sectione
              <lb/>
            determinatâ Theorenata octoginta tria.</s>
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