Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.001081">
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              nibus ſubiecti, aut paſſionis, quæ nullo modo ſunt accidentalia concluſioni,
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              v. g. in prima Euclidis demonſtratione per definitionem ſubiecti probantur
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              tres lineæ eſſe æquales, quia nimirum ſint ſemidiametri circulorum æqua­
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              lium, quæ eſt ipſarum definitio. </s>
              <s id="s.001082">& in 4. primi probantur baſis, & anguli
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              vnius trianguli æquales eſſe baſi, & angulis alterius trianguli per formalem
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              definitionem paſſionis, videlicet æqualitatis, quæ traditur in octauo axio­
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              mate ſic, quæ ſibi mutuo congruunt, ea inter ſe ſunt æqualia. </s>
              <s id="s.001083">probat igitur
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              Euclides in quarta baſim, & angulos vnius trianguli eſſe æqualia baſi, & an­
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              gulis alterius trianguli, quia oſtendit, quod, ſi baſis illa huic baſi, & illi an­
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              guli hiſce angulis ſuperponantur, congruunt; ex qua congruentia mutua,
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              quæ eſt æqualitatis definitio, infert æqualitatem ipſarum baſium, necnon
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              angulorum. </s>
              <s id="s.001084">eadem deinde æqualitatis definitione totam demonſtrationem
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              concludit, ſcilicet totum triangulum toti triangulo æquale eſſe, quia vnum
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              alteri congruat. </s>
              <s id="s.001085">Aſtronomi
                <expan abbr="quoq;">quoque</expan>
              demonſtrant eclypſim de Luna, per in­
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              terpoſitionem terræ inter Lunam, & Solem, quæ interpoſitio eſt definitio
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              cauſalis ipſius eclypſis, ſcilicet paſſionis. </s>
              <s id="s.001086">huiuſmodi
                <expan abbr="ſexcẽtas">ſexcentas</expan>
              reperies apud
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              Geometras, Arithmeticos, Aſtronomos,
                <expan abbr="cæterosq́">cæterosque</expan>
              ; Mathematicas demon­
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              ſtrationes: ita vt meritò dixerit Ariſt. Mathematicas alias omnes natura­
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              les ſcientias, quæ diſputabilibus rationibus traduntur ex hac parte antecel­
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              lere. </s>
              <s id="s.001087">aſſumunt igitur terminos conuertibiles, quia adhibent ſæpè definitio­
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              nes ad demonſtrandum. </s>
              <s id="s.001088">Reliqua logici expoſitores declarant.</s>
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              48</s>
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              <s id="s.001091">Tex. 30. (
                <emph type="italics"/>
              Rurſus quemadmodum monſtrant Lunam, quod ſphærica ſit per aug­
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              menta: ſi enim quod ita augetur, eſt ſphæricum; augetur autem Luna; planŭm quod
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              ſphærica
                <emph.end type="italics"/>
              ) Illius demonſtrationis, quæ ab effectu procedit, affert exemplum
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              ex aſtronomia; Aſtronomi enim demonſtrant Lunam eſſe ſphæricam ab ef­
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              fectu ipſius ſphæricitatis, qui eſt illuminatio ſphærica: ſic enim ratiocinan­
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              tur: ea, quæ ſphæricè illuminantur ſunt ſphærica, Luna ſphæricè illumina­
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              tur, ergo ſphærica eſt: quæ argumentatio fuſius explicanda eſt; quod ait,
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              quod ita augetur, ideſt, ſphæricè, eſt ſphæricum, ideſt, quia lumen nouæ Lu­
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              næ augetur ſphæricè, hoc eſt, ad eum modum, quo quæuis ſphæra obiecta
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              corpori luminoſo ſolet illuminari. </s>
              <s id="s.001092">illuminatio porrò Lunæ in ſe ſemper eſt
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              eadem, quia ſemper dimidium Lunæ quod Solem aſpicit, illuminatur; dici­
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              tur tamen augeri reſpectu oculi noſtri, quia ſcilicet initio facto à nouilunio
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              pars illuminata incipit quotidie magis vergere ad oculum noſtrum, ita vt
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              in dies maiorem, ac maiorem illuminationem videamus, donec opponatur
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              Soli, in qua oppoſitione totum ferè Lunæ
                <expan abbr="illuminatũ">illuminatum</expan>
              conſpicitur. </s>
              <s id="s.001093">Vt autem
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              huius illuminationis non iniucundam facias experientiam; cape ſphæram
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              quampiam ſolidam manu, cum qua recede ad medium cubiculi, & pone lu­
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              men ſeorſum ad partem aliquam: deinde brachio extenſo oppone ſphæram
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              lumini, quo ſitu nihil de illuminatione videbis, quamuis dimidium ferè il­
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              lius illuminetur. </s>
              <s id="s.001094">poſtea conuerte te ipſum ibidem paulatim, ita vt aliquid
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              illuminationis oculo tuo appareat; & videbis partem illam illuminationis,
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              falcatæ, ſeu nouæ Lunæ ſimilem. </s>
              <s id="s.001095">Deinde adhuc magis te conuerte, & cer­
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              nes illuminationem dimidiatæ Lunæ ſimilem: verte adhuc te ipſum donec
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              ſit ſphæra ita lumini oppoſita, vt inter ipſam, & lumen oculus tuus ſit me­
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              dius; apparebit tunc tota illuminatio, quæ erit inſtar plenilunij. </s>
              <s id="s.001096">perge </s>
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