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

Table of contents

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[61.] LEMMA VII.
[62.] SECTIO OCTAVA Continens Prop. IL. L. LI. LII. LIII. Apoll.
[63.] PROPOSITIO IL. & L.
[64.] PROPOSITIO LI.
[65.] PROPOSITIO LII. LIII.
[66.] PROPOSITIO LIV. LV.
[67.] PROPOSITIO LVI.
[68.] PROPOSITIO LVII.
[69.] Notæ in Propoſit. IL. L.
[70.] Notæ in Propoſit. LI.
[71.] Demonſtratio ſecundæ partis. PROPOSITIONIS LI.
[72.] Notæ in Propoſ. LII. LIII.
[73.] Secunda pars buius propoſitionis, quam Apollonius non expoſuit hac ratione ſuppleri poteſt.
[74.] Notæ in Propoſ. LIV. LV.
[75.] Notæ in Propoſit. LVI.
[76.] LEMMA VIII.
[77.] Notæ in Propoſ. LVII.
[78.] SECTIO NONA Continens Propoſ. LVIII. LIX. LX. LXI. LXII. & LXIII.
[79.] PROPOSITIO LVIII.
[80.] PROPOSITIO LIX. LXII. & LXIII.
[81.] PROPOSITIO LX.
[82.] PROPOSITIO LXI.
[83.] Notæ in Propoſit. LVIII.
[84.] Notæ in Propoſit. LIX. LXII. & LXIII.
[85.] Notæ in Propoſit. LX.
[86.] Notæ in Propoſit. LXI.
[87.] SECTIO DECIMA Continens Propof. XXXXIV. XXXXV. Apollonij.
[88.] PROPOSITIO XXXXIV.
[89.] PROPOSITIO XXXXV.
[90.] Notæ in Propoſ. XXXXIV.
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        <div xml:id="echoid-div7" type="section" level="1" n="7">
          <head xml:id="echoid-head20" xml:space="preserve">COSMVM TERTIVM
            <lb/>
          ETRVRIÆ PRINCIPEM.</head>
          <head xml:id="echoid-head21" style="it" xml:space="preserve">10: AL FONSVS BORELLIVS F.</head>
          <p>
            <s xml:id="echoid-s10" xml:space="preserve">H A V D puto, Sereniſsime Princeps,
              <lb/>
            timorem cœleſtis irę, ſed Amorem
              <lb/>
            potius, & </s>
            <s xml:id="echoid-s11" xml:space="preserve">beneficentiam primùm
              <lb/>
            in orbe Deos feciſse; </s>
            <s xml:id="echoid-s12" xml:space="preserve">nec alios ab
              <lb/>
            initio habitos cum Prodico cenſeo,
              <lb/>
            quàm res humano generi ſummo-
              <lb/>
            pere vtiles, & </s>
            <s xml:id="echoid-s13" xml:space="preserve">ſalutares. </s>
            <s xml:id="echoid-s14" xml:space="preserve">Et ſa-
              <lb/>
            nè conſentaneum eſt in primorum hominum men-
              <lb/>
            tibus, quibus reuelationis lumen non affulſit, excita-
              <lb/>
            tam fuiſſe notitiam cuiuſdam naturæ, quæ eſſet mun-
              <lb/>
            di veluti Princeps, & </s>
            <s xml:id="echoid-s15" xml:space="preserve">Parens, quotieſcumque non
              <lb/>
            perfunctoriè attenderet animum præcipuè ad boni-
              <lb/>
            tatis affluentiam, mirabiliumque, & </s>
            <s xml:id="echoid-s16" xml:space="preserve">inſignium vti-
              <lb/>
            litatum comprehenſionem, qua Solaris ſplendidiſ-
              <lb/>
            ſima machina lumine ſuo ordinatiſsimè circumacto
              <lb/>
            cuncta viuificat, fouet, ac nutrit; </s>
            <s xml:id="echoid-s17" xml:space="preserve">mirarenturque li-
              <lb/>
            beralitatem Telluris, cùm tot opes, ac copias plan-
              <lb/>
            tarum, fructuum, animalium è ſinu ſuo veluti mater
              <lb/>
            benigna mortalibus præbet. </s>
            <s xml:id="echoid-s18" xml:space="preserve">Hæc & </s>
            <s xml:id="echoid-s19" xml:space="preserve">fimilia dum
              <lb/>
            priſci homines contemplarentur, fieri non potuit,
              <lb/>
            quin tantorum munerum largitores grato affectu
              <lb/>
            proſequerentur. </s>
            <s xml:id="echoid-s20" xml:space="preserve">Neque alia ratione cúm viri heroi-
              <lb/>
            ca virtute præditi artes, & </s>
            <s xml:id="echoid-s21" xml:space="preserve">inuenta præclara valdè
              <lb/>
            vtilia ingeniosè iuxta, ac liberaliter mortalibus </s>
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