Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.000712">
                <pb pagenum="36" xlink:href="009/01/036.jpg"/>
              oſtendebant concluſionem. </s>
              <s id="s.000713">Porrò Diogenes Laert. huius reſolutionis in­
                <lb/>
              uentorem facit Platonem: à quo eam Leodamas Thaſius didicit, cuius be­
                <lb/>
              neficio, pluries deinde Geometricas demonſtrationes adinuenit. </s>
              <s id="s.000714">definitio
                <lb/>
                <expan abbr="vtriuſq;">vtriuſque</expan>
              eſt apud Euclidem ad primam propoſ. 13. Elem. iuxta tranſlatio­
                <lb/>
              nem Zamberti, & Commandini; vbi etiam
                <expan abbr="quinq;">quinque</expan>
              priora theoremata, pri­
                <lb/>
              mò per reſolutionem, deinde per compoſitionem demonſtrantur, quæ tan­
                <lb/>
              quam perſpicua exempla rei propoſitæ inſeruire poſſunt. </s>
              <s id="s.000715">ſunt præterea fre­
                <lb/>
              quentes huiuſmodi reſolutiones in operibus Archimedis, Apollonij, & Pap­
                <lb/>
              pi. </s>
              <s id="s.000716">extat adhuc liber Datorum Euclidis, qui geometricis reſolutionibus in­
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              ſeruiebat. </s>
              <s id="s.000717">vtinam extarent etiam alij de reſolutione, quorum auxilio non
                <lb/>
              tantopere recentiores Mathematici in inueniendis Demoſtrationibus la­
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              borarent; hanc reſolutionem, ſic Pappus fuſius, quam Euclides explicat;
                <lb/>
              reſolutio eſt via à quæſito tanquam conceſſo per ea, quæ ex ipſo conſequun­
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              tur ad aliquod certum, & conceſſum: in reſolutione enim id, quod quæritur
                <lb/>
              tanquam factum, & verum ſupponentes, quid ex hoc ſequatur, conſidera­
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              mus, quouſque incidamus in aliquod iam cognitum, vel quod ſit è numero
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              principiorum. </s>
              <s id="s.000718">Quod quidem erat ſignum euidens, quæſitum quoque verum
                <lb/>
              eſſe. </s>
              <s id="s.000719">eadem omnino habet Proclus in comm. ad ſextam primi elem. </s>
              <s id="s.000720">Quod
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              porrò Ariſt. ipſe hanc reſolutionem Mathematicam cognouerit eſſe medij
                <lb/>
              inquiſitionem manifeſtum eſt ex cap. 3. lib. 3. Ethyc. vbi ſic ait
                <emph type="italics"/>
              (Qui enim
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              conſultat, quærere videtur, & reſoluere prædicto modo, quemadmodum deſigna­
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              tiones)
                <emph.end type="italics"/>
              vbi per deſignationes intelligit Geometricas demonſtrationes, vt
                <lb/>
              ſupra innuimus, & infra probabimus; cum ergo conſultatio nihil aliud ſit,
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              quam medij idonei ad finem in rebus agendis inquiſitio, eamque dicat eſſe
                <lb/>
              ſimilem reſolutioni Geometricæ, manifeſtum eſt, ipſam
                <expan abbr="quoq;">quoque</expan>
              reſolutionem
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              eſſe medij in rebus ſpeculatiuis idonei perueſtigationem. </s>
              <s id="s.000721">Exiſtimo igitur
                <lb/>
              cum doctiſſimis Zabarella, Burana, Toleto, & alijs, Ariſtotilem non ſolum
                <lb/>
              hanc ſuam logicam ad mathematicarum ſcientiarum typum compegiſſe,
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              verum potius imitatum eſſe opus illud Euclidis de reſolutione, atque ex eo
                <lb/>
              non ſolum plurima exempla Geometrica, verum etiam titulum deſumpſiſſe,
                <lb/>
              præſertim cum argumentum eſſet ferè idem vtrobique, ſed Ariſt. intentio
                <lb/>
              fuerit accommodare reſolutionem omnibus
                <expan abbr="ſciẽtijs">ſcientijs</expan>
              ; Euclidis verò, & alio­
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              rum Geometriæ ſoli. </s>
              <s id="s.000722">hinc patere poteſt, cur hi libri reſolutorij inſcribantur,
                <lb/>
              quod ſcilicet tradunt methodum, qua valeamus quæſitum quoduis reſolue­
                <lb/>
              re, ideſt, ex quæſito tanquam vero inueſtare aliquam veritatem, per quam
                <lb/>
              deinde propoſitæ quæſtionis rationem methodo compoſitiua reddamus. </s>
              <s id="s.000723">Et
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              verò cum reliquas appellationes Problematis, Theorematis, Propoſitionis,
                <lb/>
              definitionum, poſtulatorum, axiomatum, & alia huiuſmodi ex Geometri­
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              cis ad omnes ſcientias tranſtulerit, quid ni etiam reſolutionem? </s>
              <s id="s.000724">maximè
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              verò, quia ſi horum lib. intentio eſſet docere iam factum ſyllogiſmum in ſua
                <lb/>
              principia reſoluere, parum eſſet vtilis; imò nec vtilis, ſed ſuperfluum quid.
                <lb/>
              </s>
              <s id="s.000725">at verò vbinam docuit hanc reſolutionem? </s>
              <s id="s.000726">profecto nullibi. </s>
              <s id="s.000727">quid opus eſt
                <lb/>
              iam factum ſyllogiſmum reſoluere? </s>
              <s id="s.000728">at verò propoſitam quæſtionem reſol­
                <lb/>
              uere veterum mathematicorum more, hoc opus, hic labor eſt.</s>
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            <p type="main">
              <s id="s.000729">Hanc porrò reſolutionem attendendam eſſe primò penes formam, quam
                <lb/>
              docet primis duobus analyticis; ſecundò penes materiam, quam tradit </s>
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