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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[211.] SECTIO SEXTA Continens Propoſit. XV. XVI. & XVII. PROPOSITIO XV.
[212.] PROPOSITIO XVI.
[213.] PROPOSITIO XVII.
[214.] Notæ in Propoſit. XV.
[215.] MONITVM.
[216.] LEMMA VI.
[217.] LEMMA VII.
[218.] LEMMA VIII.
[219.] Notæ in Propoſit. XVI.
[220.] Notæ in Propoſit. XVII.
[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
[222.] Notæ in Propoſit. XVIII. & XIX.
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
[224.] PROPOSITIO XXI.
[225.] PROPOSITIO XXII.
[226.] PROPOSITIO XXIII.
[227.] PROPOSITIO XXIV.
[228.] Notæ in Propoſit. XX.
[229.] Notæ in Propoſit. XXI.
[230.] Notæ in Propoſit. XXII.
[231.] Notæ in Propoſit. XXIII.
[232.] Notæ in Propoſit. XXIV.
[233.] SECTIO NONA Continens Propoſit. XXV.
[234.] Notæ in Propoſit. XXV.
[235.] LEMMA IX.
[236.] SECTIO DECIMA Continens Propoſit. XXVI. XXVII. & XXVIII. PROPOSITIO XXVI.
[237.] PROPOSITIO XXVII.
[238.] PROPOSITIO XXVIII.
[239.] Notæ in Propoſit. XXVI.
[240.] Notæ in Propoſit. XXVII.
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          <pb o="379" file="0417" n="418" rhead="IO: ALFONSI BORELLI"/>
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        <div xml:id="echoid-div1104" type="section" level="1" n="347">
          <head xml:id="echoid-head435" xml:space="preserve">Præfatio ad Lectorem.</head>
          <p style="it">
            <s xml:id="echoid-s12736" xml:space="preserve">SI pulchrum illud Epicharmi effatum tenes ( amice
              <lb/>
            Lector ) neruos, atque artus eſſe ſapientiæ non
              <lb/>
            temerè, ac imprudenter credere, non adeò faci-
              <lb/>
            lis eſſe debes, vt Archimedis nomen lemmata
              <lb/>
            hæc pretioſiora efficiens tibi impoſturam, aut fu-
              <lb/>
            cum facere patiaris, atque alterius contemptiſ-
              <lb/>
            ſimi auctoris opuſculum immeritò tanto viro tri-
              <lb/>
            buas; </s>
            <s xml:id="echoid-s12737" xml:space="preserve">& </s>
            <s xml:id="echoid-s12738" xml:space="preserve">ſiquidem maiores noſtri æquum iudi-
              <lb/>
            cium dixere, vt ſine inuidia culpa plectatur, non ita moroſus, ac dif-
              <lb/>
            ficilis eſſe debes, vt ſua ei denegare velis leui quacumque ſuſpicione,
              <lb/>
            quæ facile excuti poſsit; </s>
            <s xml:id="echoid-s12739" xml:space="preserve">verum ab omni præiudicio liberum te cupio,
              <lb/>
            & </s>
            <s xml:id="echoid-s12740" xml:space="preserve">memorem illius adagij: </s>
            <s xml:id="echoid-s12741" xml:space="preserve">Ne quid nimis. </s>
            <s xml:id="echoid-s12742" xml:space="preserve">Tibi igitur ſic affecto no-
              <lb/>
            tionem huius controuerſiæ omnino relinquo, quod vt liberè, & </s>
            <s xml:id="echoid-s12743" xml:space="preserve">ritè exe-
              <lb/>
            qui valeas, ſedato animo nullum meum iudicium interponens, afferam
              <lb/>
            primò rationes, quibus perſuaderi quis poſſet hoc opuſculum iniurià
              <lb/>
            Archimedi tributum fuiſſe, & </s>
            <s xml:id="echoid-s12744" xml:space="preserve">mox coniecturas recenſebo, quæ eiuſdem
              <lb/>
            Archimedis idipſum opus eſſe fortè non inaniter probant; </s>
            <s xml:id="echoid-s12745" xml:space="preserve">ſicque penſitatis,
              <lb/>
            & </s>
            <s xml:id="echoid-s12746" xml:space="preserve">compoſitis vtrinque rationum ponderibus ſententiam liberè pronuncies
              <lb/>
            tuam per me licet.</s>
            <s xml:id="echoid-s12747" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12748" xml:space="preserve">Et primò animaduerſione dignum eſt in Collect. </s>
            <s xml:id="echoid-s12749" xml:space="preserve">Mathemat. </s>
            <s xml:id="echoid-s12750" xml:space="preserve">Pappi
              <lb/>
            Alexand. </s>
            <s xml:id="echoid-s12751" xml:space="preserve">frequentiſsimè commemorari ea, quæ Archimedes conſcripſit,
              <lb/>
            præcipuè lib. </s>
            <s xml:id="echoid-s12752" xml:space="preserve">5. </s>
            <s xml:id="echoid-s12753" xml:space="preserve">& </s>
            <s xml:id="echoid-s12754" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s12755" xml:space="preserve">8. </s>
            <s xml:id="echoid-s12756" xml:space="preserve">De Spiralibus, de Solidis Polyedris, de Cir-
              <lb/>
            culi Menſura, de Sphæra, & </s>
            <s xml:id="echoid-s12757" xml:space="preserve">Cylindro, & </s>
            <s xml:id="echoid-s12758" xml:space="preserve">multoties citantur, & </s>
            <s xml:id="echoid-s12759" xml:space="preserve">
              <lb/>
            tranſcribuntur Archimedeæ propoſitiones, neque vſpiam huius </s>
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