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-div509" type="section" level="1" n="167">
          <pb o="135" file="0173" n="173" rhead="Conicor. Lib. VI."/>
          <p style="it">
            <s xml:id="echoid-s5264" xml:space="preserve">II. </s>
            <s xml:id="echoid-s5265" xml:space="preserve">Codex Arabicus habet. </s>
            <s xml:id="echoid-s5266" xml:space="preserve">Similes verò ſunt, quarum proportio po-
              <lb/>
            tentium in vna earum ad ſua abſciſſa eſt eadem proportioni aliarum po-
              <lb/>
            tentium ad ſua abſciſſa, & </s>
            <s xml:id="echoid-s5267" xml:space="preserve">proportio abſciſſarum in vna earum ad ſua op-
              <lb/>
            poſita abſciſſa eadem eſt. </s>
            <s xml:id="echoid-s5268" xml:space="preserve">Putabit forte quiſpiam, me nimis licentiosè tran-
              <lb/>
            sformaſſe potius, quàm emendaſſe textum in
              <lb/>
              <figure xlink:label="fig-0173-01" xlink:href="fig-0173-01a" number="171">
                <image file="0173-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0173-01"/>
              </figure>
            hac ſecunda definitione; </s>
            <s xml:id="echoid-s5269" xml:space="preserve">ſed is ſciat velim,
              <lb/>
            non meo arbitratu id feciſſe ſed ex præſcripto
              <lb/>
            eiuſdem Apollonij pluribus in locis; </s>
            <s xml:id="echoid-s5270" xml:space="preserve">non qui-
              <lb/>
            dem in hiſce compendioſiſſimis definitionibus,
              <lb/>
            in quibus vna particula omiſſa, vel addita
              <lb/>
            (vt paſſim cõtingit in codicibus vetuſtiſſimis)
              <lb/>
            ſenſum omninò permutat; </s>
            <s xml:id="echoid-s5271" xml:space="preserve">ſed ijs in locis in
              <lb/>
            quibus oratione continua exponit, & </s>
            <s xml:id="echoid-s5272" xml:space="preserve">exem-
              <lb/>
            plis declarat germanum ſenſum huius ſecun-
              <lb/>
            dæ definitionis, & </s>
            <s xml:id="echoid-s5273" xml:space="preserve">ſeptimæ ſubſequentis, vt
              <lb/>
            ſuis in locis monebitur. </s>
            <s xml:id="echoid-s5274" xml:space="preserve">Primo igitur ſupple-
              <lb/>
            ri debent particulæ ad conterminas axium
              <lb/>
            abſciſſas, quæ in textu omnino ſubintelligi
              <lb/>
            debent vt expreſsè declaratur in propoſ. </s>
            <s xml:id="echoid-s5275" xml:space="preserve">11.
              <lb/>
            </s>
            <s xml:id="echoid-s5276" xml:space="preserve">12. </s>
            <s xml:id="echoid-s5277" xml:space="preserve">15. </s>
            <s xml:id="echoid-s5278" xml:space="preserve">& </s>
            <s xml:id="echoid-s5279" xml:space="preserve">16. </s>
            <s xml:id="echoid-s5280" xml:space="preserve">huius libri, quibus in locis
              <lb/>
            ſemper in ſectionibus ſimilibus præcipitur vt abſciſſæ tantummodo in axibus ſu-
              <lb/>
            mantur, aut æquè ſint inclinatæ ad conterminas potentiales. </s>
            <s xml:id="echoid-s5281" xml:space="preserve">Secundò poſtrema
              <lb/>
            verba ſunt in ijſdem rationibus tum abſciſſæ ad abſciſſas poſſent retineri cũ
              <lb/>
            ſenſum definitionis non omnino intollerabilẽ reddant: </s>
            <s xml:id="echoid-s5282" xml:space="preserve">& </s>
            <s xml:id="echoid-s5283" xml:space="preserve">inſuper in textu gre-
              <lb/>
            co Eutocy repetantur, & </s>
            <s xml:id="echoid-s5284" xml:space="preserve">eius ſenſus talis eſt. </s>
            <s xml:id="echoid-s5285" xml:space="preserve">In coniſectionibus B A C, E D
              <lb/>
            F, quarum axes A G, D H ſi ductæ fuerint quotcunq; </s>
            <s xml:id="echoid-s5286" xml:space="preserve">potentiales, ſeu ad axim
              <lb/>
            applicatæ B C, E F, I L, M O occurrentes axibus in G, H, K, N hac lege, vt
              <lb/>
            potentialis B C ad abſciſſam G A eandem proportionem habeat quàm potentialis
              <lb/>
            E F ad abſcißam H D, & </s>
            <s xml:id="echoid-s5287" xml:space="preserve">potentialis I L ad abſciſſam K A ſit, vt M O ad N
              <lb/>
            D, & </s>
            <s xml:id="echoid-s5288" xml:space="preserve">tandem abſciſſa G A ad K A ſit, vt abſciſſa H D ad N D: </s>
            <s xml:id="echoid-s5289" xml:space="preserve">& </s>
            <s xml:id="echoid-s5290" xml:space="preserve">hoc v eri-
              <lb/>
            ficetur in omnibus alijs potentialibus eadem lege ductis; </s>
            <s xml:id="echoid-s5291" xml:space="preserve">tunc quidem duæ illæ
              <lb/>
            ſectiones ſimiles appellantur iuxta Eutocij, & </s>
            <s xml:id="echoid-s5292" xml:space="preserve">Mydorgij ſententiam.</s>
            <s xml:id="echoid-s5293" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s5294" xml:space="preserve">Ego contra puto, hanc expoſitionem neq. </s>
            <s xml:id="echoid-s5295" xml:space="preserve">Apollonio, neq. </s>
            <s xml:id="echoid-s5296" xml:space="preserve">veritati conciliari
              <lb/>
            poße, vt ad propoſ. </s>
            <s xml:id="echoid-s5297" xml:space="preserve">12. </s>
            <s xml:id="echoid-s5298" xml:space="preserve">oſtendetur attamen exiſtimo, definitionem hac ratione
              <lb/>
            formari poße.</s>
            <s xml:id="echoid-s5299" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s5300" xml:space="preserve">Similes coniſectiones ſunt, in quibus quælibet axium abſcißæ erectis pro-
              <lb/>
            portionales etiam ad conterminas potentiales eandẽ rationem habent: </s>
            <s xml:id="echoid-s5301" xml:space="preserve">quæ omni-
              <lb/>
            no conformis eſt præcedenti definitioni, præterquam in poſtrema particula, vbi
              <lb/>
            enim ait. </s>
            <s xml:id="echoid-s5302" xml:space="preserve">Sunt in ijſdem rationibus tum abſciſſæ ad abſciſſas. </s>
            <s xml:id="echoid-s5303" xml:space="preserve">Legendum
              <lb/>
            eſſet: </s>
            <s xml:id="echoid-s5304" xml:space="preserve">ſunt in ijſdem rationibus tum abſciſſæ ad erecta. </s>
            <s xml:id="echoid-s5305" xml:space="preserve">Sed an hæc parti-
              <lb/>
            cula corrigi debeat, vel non, alij videant.</s>
            <s xml:id="echoid-s5306" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s5307" xml:space="preserve">III. </s>
            <s xml:id="echoid-s5308" xml:space="preserve">Si verò fuerit portio ſectionis conicæ B A C, vel circunferentiæ circuli,
              <lb/>
            atq. </s>
            <s xml:id="echoid-s5309" xml:space="preserve">recta linea B C eam ſubtendat, & </s>
            <s xml:id="echoid-s5310" xml:space="preserve">ſecet in duobus punctis B, & </s>
            <s xml:id="echoid-s5311" xml:space="preserve">C, voca-
              <lb/>
            tur B C, Baſis prædicti ſegmenti B A C.</s>
            <s xml:id="echoid-s5312" xml:space="preserve"/>
          </p>
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