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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[11.] PRÆFATIO AD LECTOREM.
[12.] INDEX
[13.] APOLLONII PERGAEI CONICORVM LIB. V. DEFINITIONES. I.
[14.] II.
[15.] III.
[16.] IV.
[17.] V.
[18.] VI.
[19.] VII.
[20.] VIII.
[21.] IX.
[22.] X.
[23.] XI.
[24.] XII.
[25.] XIII.
[26.] XIV.
[27.] XV.
[28.] XIV.
[29.] NOTÆ.
[30.] SECTIO PRIMA Continens propoſitiones I. II. & III. Apollonij. PROPOSITIO I.
[31.] PROPOS. II.
[32.] PROPOS. III.
[33.] Notæ in Propoſitionem primam.
[34.] Notæ in Propoſitionem ſecundam.
[35.] Notæ in Propoſitionem tertiam.
[36.] SECTIO SECVNDA Continens propoſitiones IV. V. VI. Apollonij.
[37.] PROPOSITIO IV.
[38.] PROPOSITIO V. & VI.
[39.] Notæ in pro poſitionem quartam.
[40.] Notæ in propoſitionem quintam.
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            <s xml:id="echoid-s162" xml:space="preserve">
              <pb file="0016" n="16" rhead="ABALPHATI"/>
            etiam longiſsimè ijs præſtat, atq; </s>
            <s xml:id="echoid-s163" xml:space="preserve">præcellit, eò quòd
              <lb/>
            fæcium, ſordiumque dubitationum, & </s>
            <s xml:id="echoid-s164" xml:space="preserve">aliorum hu-
              <lb/>
            iuſmodi generis accidentium expers omninò ſit, atq;
              <lb/>
            </s>
            <s xml:id="echoid-s165" xml:space="preserve">libera. </s>
            <s xml:id="echoid-s166" xml:space="preserve">Ea autem propter ſe habet ad ſcientificam
              <lb/>
            potentiam, quemadmodùm habent ſe limpidiſsima
              <lb/>
            quæque orbi ſolis oppoſita ad viſiuam potentiam. </s>
            <s xml:id="echoid-s167" xml:space="preserve">
              <lb/>
            Ex quo ad illam comparandam, conſequendamq; </s>
            <s xml:id="echoid-s168" xml:space="preserve">
              <lb/>
            non excitatur intellectiua duntaxat vis, verùm etiam
              <lb/>
            multùm exacuitur, atq; </s>
            <s xml:id="echoid-s169" xml:space="preserve">delectatur, ponderatis præ-
              <lb/>
            ſertim, expenſisq; </s>
            <s xml:id="echoid-s170" xml:space="preserve">illius demonſtrationibus, & </s>
            <s xml:id="echoid-s171" xml:space="preserve">cer-
              <lb/>
            tiſsima earum comprehenſa, & </s>
            <s xml:id="echoid-s172" xml:space="preserve">cognita veritate. </s>
            <s xml:id="echoid-s173" xml:space="preserve">
              <lb/>
            Tunc quippè huius veritatis percepta animus odo-
              <lb/>
            rationis ſuauitate, auidè, & </s>
            <s xml:id="echoid-s174" xml:space="preserve">ardentiùs appetit con-
              <lb/>
            ſequi ea omnia, quæ illius ſuggerunt demonſtra-
              <lb/>
            tiones, earumque potiri. </s>
            <s xml:id="echoid-s175" xml:space="preserve">Subindè verò procedere
              <lb/>
            conatur vltrò ad vltimum finem, nempè ad pro-
              <lb/>
            prietatum, & </s>
            <s xml:id="echoid-s176" xml:space="preserve">obiecti illius cognitionem, excelſita-
              <lb/>
            tem, atque præſtantiam comparandam, tandemque
              <lb/>
            ad ea omnia, quæ ad ipſam ſpectant. </s>
            <s xml:id="echoid-s177" xml:space="preserve">Quod qui-
              <lb/>
            dem luminis cùm ipſius affulſerit ſtudioſis, & </s>
            <s xml:id="echoid-s178" xml:space="preserve">quàm
              <lb/>
            præcellens ſit, animaduerterint, omnes ſuos con-
              <lb/>
            tulerunt conatus ad libros componendos, conſcri-
              <lb/>
            bendoſq; </s>
            <s xml:id="echoid-s179" xml:space="preserve">de ipſius elementis, principijs, ac omni-
              <lb/>
            bus ijs, quę indè deriuantur, & </s>
            <s xml:id="echoid-s180" xml:space="preserve">eò ſpectant. </s>
            <s xml:id="echoid-s181" xml:space="preserve">Soli-
              <lb/>
            diora porrò profeſsionis huius fundamenta omnium
              <lb/>
            primus iecit Euclides in eo libro, quem de elemen-
              <lb/>
            tis inſcripſit, in quo fundamentales continentur ra-
              <lb/>
            tiones linearum tam rectarum, quàm curuarum,
              <lb/>
            nec non ſuperficierum prouenientium vel ex earum
              <lb/>
            ſingulis vel ex omnibus ſimul ſumptis. </s>
            <s xml:id="echoid-s182" xml:space="preserve">Rationes
              <lb/>
            prætereà habentur ſolidorum prouenientium, </s>
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