Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              intra circulum per ſecundam præallegatam caderet, quod eſt abſurdum,
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              quia contra hypotheſim, cum ſupponamus illam ſolùm tangere, non autem
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              ſecare circulum. </s>
              <s id="s.002238">Ex hac Euclidis doctrina Theodoſius primo ſphæricorum,
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              propoſitione 3. probat planum, ſiue ſuperficiem planam tangere ſphæram
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              in vnico puncto, vt hoc loco innuit Philoſophus. </s>
              <s id="s.002239">probat autem hac ferè ra­
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                <figure id="id.009.01.132.1.jpg" place="text" xlink:href="009/01/132/1.jpg" number="69"/>
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              tione. </s>
              <s id="s.002240">ſit ſphæra A B C, quæ tangat quodpiam planum
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              in duobus punctis A, B, ſi fieri poteſt. </s>
              <s id="s.002241">per quæ duo pun­
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              cta intelligatur ducta recta linea A B, intelligatur
                <expan abbr="etiã">etiam</expan>
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              circulus A B C, qui ſecet ſphæram per centrum C. &
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              per puncta A, B, ergo ex demonſtratis ab Euclide li­
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              nea A B, quæ coniungit puncta A B, cadet intra prædi­
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              ctum circulum; ſed linea hæc eſt in plano tangente ex
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              ſuppoſitione, circulus verò in ſphæra; ergò cum linea
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              cadat intra circulum, cadet etiam neceſſariò planum
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              in quo eſt linea, & cum linea cadat intra circulum, cadet etiam neceſſariò
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              intra ſphæram;
                <expan abbr="idemq́">idemque</expan>
              ; faciet planum, quod eam neceſſariò ſequatur, ergò
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              planum ſecat ſphæram, non autem tangit, quod eſt abſurdum, quia contra
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              hypotheſim, ſupponunt autem Mathematici, entia hæc mathematica eſſe
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              perfecta, qualia in ſublunaribus fortè non reperiuntur; ænea enim ſphæra
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              nulla erit perfectè rotunda, vel planum aliquod perfectè complanatum, vt
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              ipſi ſupponunt, eò quod materiæ imperfectio, ac ruditas id nequaquam pa­
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              tiatur. </s>
              <s id="s.002242">quare cum huiuſmodi entia non reperiantur abſtracta ab impura hac
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              materia, nullum erit inquit Ariſt. abſtractum planum, quod poſſit mathe­
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              maticè,
                <expan abbr="atq;">atque</expan>
              adeò in vnico puncto mathematico ſphæram tangere. </s>
              <s id="s.002243">
                <expan abbr="hucuſq;">hucuſque</expan>
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              neceſſaria ſunt mathematica ad huius loci
                <expan abbr="intelligentiã">intelligentiam</expan>
              . </s>
              <s id="s.002244">ex quibus ea etiam,
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              quæ ad phyſicum ſpectant manifeſta fiunt, nimirum ſicut entia mathemati­
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              ca à materia non exiſtunt ſeparata, quia ſic nullam haberent operationem;
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              ita etiam anima, ſi nullam habet propriam operationem non exiſtet à cor­
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              pore ſeparata.</s>
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              <s id="s.002245">
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              Ex Secundo de Anima.
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              185</s>
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              <s id="s.002248">Tex. 12.
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              (Non enim ſolum ipſum, quod ſit, oportet definitiuam rationem
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              oſtendere, ſicut plures definitionum dicunt, ſed & cauſam ineſſe, & ap­
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              parere. </s>
              <s id="s.002249">nunc autem, vt concluſiones rationes definitionum ſunt, vt quid
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              tetragoniſmus? </s>
              <s id="s.002250">æquale altera parte longiori rectangulum æquilaterum
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              eſſe, talis autem definitio ratio concluſionis. </s>
              <s id="s.002251">dicens autem, quod tetragoniſmus eſt
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              medij inuentio rei cauſam dicit)
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              aggreſſurus Ariſt. animæ definitionem præ­
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              mittit duplicem eſſe definitionem, alteram ſcilicet, quæ explicat ſolum rei
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              eſſentiam, quam dicunt formalem definitionem; alteram verò, quæ præte­
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              rea explicat etiam rei cauſam, quam dicunt cauſalem definitionem: vtram­
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              que autem exemplo Geometrico explicat.</s>
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              <s id="s.002252">In cap. igitur de relatione plura ſcripſi de tetragoniſmo, ſeu quadratio­
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              ne circuli, quæ huc ſpectant. </s>
              <s id="s.002253">propterea nunc tantum propria huius loci
                <expan abbr="de-clarãda">de­
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                claranda</expan>
              reſtant. </s>
              <s id="s.002254">loquitur igitur hic Philoſophus non de quadratione circuli,</s>
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