Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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        <div xml:id="echoid-div1104" type="section" level="1" n="347">
          <p>
            <s xml:id="echoid-s12850" xml:space="preserve">
              <pb o="382" file="0420" n="421" rhead="PRÆFATIO."/>
            vſitatiſque pridem rerum nominibus conſcripta erant, quæ nunc
              <lb/>
            parabola, recti coniſectione, quæ hyperbole, obtuſi anguli ſe-
              <lb/>
            ctione vocata; </s>
            <s xml:id="echoid-s12851" xml:space="preserve">vt ex his ſuſpicari liceat EADEM IPSA FOR-
              <lb/>
            TEAN ESSE, QVÆ IN FINE SCRIBENDA PROMIT-
              <lb/>
            TEBANTVR; </s>
            <s xml:id="echoid-s12852" xml:space="preserve">quare attentius incumbentes, (cum ipſam hy-
              <lb/>
            potheſim, qualiter perſcripta fuerat, præ mendarum copia (vt
              <lb/>
            diximus) ſatis incommodam, & </s>
            <s xml:id="echoid-s12853" xml:space="preserve">abſtruſam reperiremus,) ſen-
              <lb/>
            ſum inde paucis elijcientes communi, & </s>
            <s xml:id="echoid-s12854" xml:space="preserve">plana dictione (vt fieri
              <lb/>
            potuit) deſcribimus. </s>
            <s xml:id="echoid-s12855" xml:space="preserve">Vniuerſaliter autem primum theorema de-
              <lb/>
            ſcribetur, vt definitis manifeſtetur, deinde reſolutis in proble-
              <lb/>
            mate accomodabitur. </s>
            <s xml:id="echoid-s12856" xml:space="preserve">Inferius</s>
          </p>
          <p>
            <s xml:id="echoid-s12857" xml:space="preserve">Præmiſſis autem problematis, quæ hìc apponuntur, ſcilicet
              <lb/>
            duplam eſſe ipſam D B ipſius B F, &</s>
            <s xml:id="echoid-s12858" xml:space="preserve">c. </s>
            <s xml:id="echoid-s12859" xml:space="preserve">(Nota quod hic loquitur
              <lb/>
            de lemmatibus adiunctis,) & </s>
            <s xml:id="echoid-s12860" xml:space="preserve">paulò poſt; </s>
            <s xml:id="echoid-s12861" xml:space="preserve">animaduertendum eſt au-
              <lb/>
            t
              <unsure/>
            em, & </s>
            <s xml:id="echoid-s12862" xml:space="preserve">hæc quæ ab Archimede dicta ſunt conſonare ijs, quæ
              <lb/>
            nos reſoluimus (ſcilicet ijdem adductis lemmatibus). </s>
            <s xml:id="echoid-s12863" xml:space="preserve">Deinde cum
              <lb/>
            dixerit, quod ſuperius dictum vniuerſaliter habet determinatio-
              <lb/>
            nem, adiectis autem problematibus ab eo inuentis, hoc eſt ip-
              <lb/>
            ſam D B duplam eſſe ipſius B F, & </s>
            <s xml:id="echoid-s12864" xml:space="preserve">ipſam B F maiorem ipſa
              <lb/>
            F H, &</s>
            <s xml:id="echoid-s12865" xml:space="preserve">c. </s>
            <s xml:id="echoid-s12866" xml:space="preserve">Hìc manifeſtè Eutocius declarat propoſita lemmata in anti-
              <lb/>
            quo codice inuenta Archimedis fuiſſe.</s>
            <s xml:id="echoid-s12867" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12868" xml:space="preserve">Hæc igitur conſentanea verbis Archimedis, qua fieri potuit,
              <lb/>
            dilucidè expoſuimus.</s>
            <s xml:id="echoid-s12869" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12870" xml:space="preserve">Conſtat ergò ex Eutocij ſententia librum antiquum ab eo repertum, & </s>
            <s xml:id="echoid-s12871" xml:space="preserve">
              <lb/>
            recognitum, eſſe opus Archimedis, licet titulo Auctoris caruerit, & </s>
            <s xml:id="echoid-s12872" xml:space="preserve">men-
              <lb/>
            doſiſsimum eſſet, atque ignotum Dionyſodoro, Diocli, & </s>
            <s xml:id="echoid-s12873" xml:space="preserve">pleriſque
              <lb/>
            Græcorum diù iacuiſſet; </s>
            <s xml:id="echoid-s12874" xml:space="preserve">etenim ex ſtylo, ex ſubiecto promiſſo, ex lingua
              <lb/>
            Dorica, & </s>
            <s xml:id="echoid-s12875" xml:space="preserve">ex vocibns vetuſtis Archimedi familiaribus concluſit lem-
              <lb/>
            mata prædicta Archimedis fuiſſe. </s>
            <s xml:id="echoid-s12876" xml:space="preserve">Sed adhuc difficultas hæret, nam licet
              <lb/>
            concedamus ſcripſiſſe Archimedẽ, & </s>
            <s xml:id="echoid-s12877" xml:space="preserve">edidiſſe librum lemmatum ab Eutocio
              <lb/>
            memoratum, diuerſus omnino erit ab eo, quem Thebitius Arabicè tranſ-
              <lb/>
            tulit, nam in iſto non reperitur lemma illud, qnod promiſerat Archime-
              <lb/>
            des ſe demonſtraturum.</s>
            <s xml:id="echoid-s12878" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12879" xml:space="preserve">Hæc difficultas duplici coniectura ſi non frangi, ac reſolui ſaltem de-
              <lb/>
            bilitari poteſt; </s>
            <s xml:id="echoid-s12880" xml:space="preserve">liber enim antiquus lemmatum Archimedis ne dum titulo
              <lb/>
            carebat ſuo, ſed erat valdè corruptus, deficiens, & </s>
            <s xml:id="echoid-s12881" xml:space="preserve">mendoſus; </s>
            <s xml:id="echoid-s12882" xml:space="preserve">quarè
              <lb/>
            non ſine diuturno, ac pertinaci labore ſenſus illius lemmatis elicere </s>
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