Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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              <s id="s.003992">
                <pb pagenum="234" xlink:href="009/01/234.jpg"/>
              etiam augentur eò perfectius. </s>
              <s id="s.003993">
                <expan abbr="proptereaq́">proptereaque</expan>
              ; poterunt aliquando exactè cir­
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              culum quò ad ſenſum imitari. </s>
              <s id="s.003994">quod de circulis dictum eſt, intelligi etiam de­
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              bet de omnibus alijs figuris eiuſdem ſpeciei, vt de duabus ellipſibus, aut
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              de duobus triangulis, &c.</s>
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              <s id="s.003995">Tertiò, lumen Solis per foramen tam
                <expan abbr="exiguũ">exiguum</expan>
              , quod ſit inſtar puncti tranſ­
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              miſſum,
                <expan abbr="figurã">figuram</expan>
              Solis rotundam videlicet, quamuis conuerſam referre; quod
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                <figure id="id.009.01.234.1.jpg" place="text" xlink:href="009/01/234/1.jpg" number="144"/>
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              hac deſcriptione patefiet. </s>
              <s id="s.003996">ſit Sol vbi A B, fora­
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              men inſtar puncti vbi E. illuminatio, in planum
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              radio Solis perpendiculariter obiectum, ſit C I D.
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              aio eam eſſe inſtar Solis rotundam, inuerſam ta­
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              men. </s>
              <s id="s.003997">nam ſi ab omnibus punctis ſolaris periphe­
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              riæ radij per vnicum punctum E, rectà transfe­
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              rantur ad planum rectà obiectum, vbi C D, con­
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              flabunt duas conicas ſuperficies A E B, C E D,
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              baſes habentes circulos A B, C D, verticem verò
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              eundem E. </s>
              <s id="s.003998">Cùm igitur illuminatio C D, ſit ve­
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              luti ſectio luminoſi coni C E D, quæ perpendicu­
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              lariter eum ſecat, ex Apollonij conicis circulus
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              erit, ac proinde Solis figuram imitabitur. </s>
              <s id="s.003999">erit
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              tamen inuerſa, quia cum, vt dictum eſt in prima
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              prænotatione, radij rectis lineis ferantur, pun­
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              ctum A, ſiniſtrum, repreſentabitur in D, parte
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              dextra. </s>
              <s id="s.004000">B, verò dexterum apparebit in C, parte
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              ſiniſtra, & H, in anteriore parte Solis, feretur in
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              I, punctum illuminationis poſterius:
                <expan abbr="atq;">atque</expan>
              eodem
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              modo reliqua puncta in contrarias partes trans­
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              ferentur. </s>
              <s id="s.004001">Quod ſi planum terminans conum ra­
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              dioſum non illi ſit perpendiculare, ſed obliquum,
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              vti eſt G F, ſectionem faciet ellipticam ex eodem
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              Apollonio,
                <expan abbr="ideoq́">ideoque</expan>
              ; Solis il luminatio, quod pluri­
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              mùm accidit, oualis apparet. </s>
              <s id="s.004002">Quod dictum eſt de Solis illuminatione, in­
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              telligi etiam debet de alijs quibuſuis lucidis, vel coloratis luce perfuſis, quæ
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              ſuas ſpecies emittunt, cuiuſuis ſint figuræ, eodem enim modo oſtendemus
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              eorum illuminationes, ſeu ſpecies debere figuram ipſorum primitiuam re­
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              ferre, quamuis inuerſam.</s>
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              <s id="s.004003">Quartò, dico, Cauſam huius apparentiæ primariam eſſe ipſam Solis ro­
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              tunditatem, quæ per ſingula foraminis cuiuſuis puncta in oppoſitum planum
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              ſe ſe transfundit. </s>
              <s id="s.004004">quod enim nuper de vnico puncto oſtenſum eſt, idem intel­
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              ligendum eſt de ſingulis foraminis punctis, per ſingula enim puncta ſingulæ
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              illuminationes rotundæ in aduerſum planum tranſmittuntur, quæ quò lon­
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              gius à foramine proceſſerint, cò perfectiorem rotunditatem aſſequentur, ob
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              eam cauſam, quàm in ſecunda prænotatione innuimus. </s>
              <s id="s.004005">quæ vt explicatius
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              tractentur, neuè in hac Solis luce cæcutiamus, linearem demonſtrationem
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              afferemus. </s>
              <s id="s.004006">ſit ſolare corpus A B, foramen verò
                <expan abbr="qualiſcunq;">qualiſcunque</expan>
              figuræ, veluti ri­
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              mula C D, per quam Solis ſplendor illapſus oppoſitum planum, in quo F E,
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              colluſtret. </s>
              <s id="s.004007">iam ex infinitis punctis rimulæ C D, ſatis erit extrema duo C, </s>
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