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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            <s xml:id="echoid-s55" xml:space="preserve">
              <pb o="(vi)" file="0010" n="10"/>
            pars eſſet ſecundæ ſubdiviſionis, cæteris permittitur. </s>
            <s xml:id="echoid-s56" xml:space="preserve">Deinde
              <lb/>
            proxima ſex problemata continentur in primo libro. </s>
            <s xml:id="echoid-s57" xml:space="preserve">Reliqua
              <lb/>
            duo, nempe de duabus rectis datis & </s>
            <s xml:id="echoid-s58" xml:space="preserve">circulo, & </s>
            <s xml:id="echoid-s59" xml:space="preserve">de tribus
              <lb/>
            datis circulis, ſola habentur in ſecundo libro; </s>
            <s xml:id="echoid-s60" xml:space="preserve">ob multas di-
              <lb/>
            verſaſque poſitiones circulorum & </s>
            <s xml:id="echoid-s61" xml:space="preserve">rectarum inter ſe, quibus
              <lb/>
            fit ut etiam plurium determinationum opus ſit. </s>
            <s xml:id="echoid-s62" xml:space="preserve">Prædictis his
              <lb/>
            Tactionibus congener eſt ordo problematum, quæ ab edito-
              <lb/>
            ribus omiſſa fuerant. </s>
            <s xml:id="echoid-s63" xml:space="preserve">Nonnulli autem priori horum librorum
              <lb/>
            illa prefixerunt: </s>
            <s xml:id="echoid-s64" xml:space="preserve">Compendioſus enim & </s>
            <s xml:id="echoid-s65" xml:space="preserve">introductorius erat
              <lb/>
            tractatus ille, & </s>
            <s xml:id="echoid-s66" xml:space="preserve">ad plenam de Tactionibus doctrinam abſol-
              <lb/>
            vendam maxime idoneus. </s>
            <s xml:id="echoid-s67" xml:space="preserve">Hæc omnia rurſus una propoſitio
              <lb/>
            complectitur, quæ quidem quoad Hypotheſim magis quam
              <lb/>
            præcedentia contracta eſt, ſuperaddita autem eſt conditio ad
              <lb/>
            conſtructionem: </s>
            <s xml:id="echoid-s68" xml:space="preserve">eſtque hujuſmodi. </s>
            <s xml:id="echoid-s69" xml:space="preserve">“ E punctis, rectis, vel
              <lb/>
            circulis, datis duobus quibuſcunque, deſcribere circulum
              <lb/>
            magnitudine datum, qui tranſeat per punctum vel puncta
              <lb/>
            data, ac, ſi fieri poſſit, contingat etiam lineas datas. </s>
            <s xml:id="echoid-s70" xml:space="preserve">” Con-
              <lb/>
            tinet autem hæc propoſitio ſex problemata: </s>
            <s xml:id="echoid-s71" xml:space="preserve">ex tribus enim
              <lb/>
            quibuſcunque diverſis generibus fiunt Duades inordinatæ di-
              <lb/>
            verſæ numero ſex. </s>
            <s xml:id="echoid-s72" xml:space="preserve">Vel enim datis duobus punctis, vel duabus
              <lb/>
            rectis, vel duobus circulis, vel puncto & </s>
            <s xml:id="echoid-s73" xml:space="preserve">rectâ, vel puncto & </s>
            <s xml:id="echoid-s74" xml:space="preserve">
              <lb/>
            circuìo, vel rectâ & </s>
            <s xml:id="echoid-s75" xml:space="preserve">circulo, opportet circulum magnitudine
              <lb/>
            datum deſcribere,
              <emph style="sc">QUI DATA CONTINGAT</emph>
            ; </s>
            <s xml:id="echoid-s76" xml:space="preserve">hæc autem re-
              <lb/>
            ſolvenda ſunt & </s>
            <s xml:id="echoid-s77" xml:space="preserve">componenda ut & </s>
            <s xml:id="echoid-s78" xml:space="preserve">determinanda juxta Caſus.
              <lb/>
            </s>
            <s xml:id="echoid-s79" xml:space="preserve">Liber primus
              <emph style="sc">Tactionum</emph>
            problemata habet ſeptem; </s>
            <s xml:id="echoid-s80" xml:space="preserve">ſe-
              <lb/>
            cundus vero quatuor. </s>
            <s xml:id="echoid-s81" xml:space="preserve">Lemmata autem ad utrumque librum
              <lb/>
            ſunt XXI; </s>
            <s xml:id="echoid-s82" xml:space="preserve">Theoremata LX.</s>
            <s xml:id="echoid-s83" xml:space="preserve"/>
          </p>
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