Biancani, Giuseppe, Aristotelis loca mathematica, 1615
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              QVÆSTIO XXIIII.
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              De duobus circulis.
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              263</s>
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              <s id="s.003182">Vnde eſt, quod ſi duo circuli, vnus altero maior, circa idem cen­
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              trum poſiti, volutentur, ita vt etiam centrum feratur, eo ſcilicet
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              modo, quo plauſtrorum rotæ ſolent, ſecundum æqualem lineam
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              conuoluuntur, ſiue æquale ſpatium conficiunt: ſi verò ſeorſum
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              ſeparati quilibet eodem modo volutetur, non æquale
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              pertranſibunt,
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              ſed maior maiorem lineam, quàm minor;
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              ; ea proportione, quam inui­
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              cem eorum circunferentiæ obtinent, cum in hac veluti rotæ conuolutione,
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              circunferentia tota ſucceſſiuè decurſo ſpatio adaptetur, ita vt tanta ſit de­
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              curſa linea, quanta eſt rotæ circunferentia? </s>
              <s id="s.003183">Quin etiam eodem exiſtente
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              centro, aliquando confectum ſpatium ab
                <expan abbr="vtroq;">vtroque</expan>
              tantum eſt, quan­
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              tum minor circulus ſolus, ſecundum ſuam periphæriam reuolutus perfeciſ­
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              ſet;
                <expan abbr="quandoq́">quandoque</expan>
              ; verò quantum maior ſolus abſoluiſſet. </s>
              <s id="s.003184">Quod autem maior
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              ſolus in ſua reuolutione maiorem lineam deſcribat, manifeſtum eſt hinc,
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              quia ſenſu patet maiorem circunferentiam in maiori circulo ſubtendere
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              angulum, qui fit à diametris in centro; minorem verò circunferentiam
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              ſubtendere eundem angulum in minori orbe, vt etiam in 8. quæſt. </s>
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                <expan abbr="dictũ">dictum</expan>
              eſt:
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              eandem igitur, vt proximè dixi habebunt etiam proportionem illæ lineæ,
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              quæ à ſingulis ſeorſum orbibus reuolutis deſignabuntur. </s>
              <s id="s.003186">Quod præterea ſe­
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              cundum æqualem conuoluuntur, quando circa idem poſiti fuerint centrum,
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              manifeſtum eſt, ita tamen, vt aliquando ambæ æquales ſint ei, ſecundum
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              quam ſolus maior conuolueretur; aliquando verò ſecundum quam minor.
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              ſit enim circulus maior quidem vbi
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              D F C, minor verò vbi E G B,
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              autem centrum A, linea, ſecundum
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              quam quadrans F C, maioris per ſe
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              rotaretur, ſit F L. linea verò, ſecun­
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              dum quam
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              G B, minoris ſe­
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              iuncti à maiori, volutaretur ſit G K,
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              quæ æqualis eſt dicto quadranti G B,
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              ſicut etiam F I, æqualis eſt quadran­
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              ti F C. ſi quis igitur impellat mino­
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              rem orbem mouens ſimul commune
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              centrum A, cui maior eſt circumpo­
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              ſitus, donec diameter A B, perpendicularis ſit lineæ G K, in puncto K. tunc
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              pariter diameter maioris A C, erit perpendicularis lineæ F L, in puncto L.
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              <s id="s.003187">G K, autem, & F L, neceſſariò erunt æquales per 34. primi, æquales igitur
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              lineas hoc modo peragrarunt inæquales circunferentiæ, ſiue quadrantes
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              G B, F C. ſi autem quadrantes hoc præſtant, manifeſtum eſt, quod & toti
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              ambitus idem efficiunt, quare quando tota periphæria G B E G, fuerit re­
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              uoluta etiam tota F C D F, ſuum orbem
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              habebit. </s>
              <s id="s.003188">ſimiliter ſi ma­
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              iorem quis mouerit, cui minor ſit annexus eodem exiſtente centro, ſimul ac </s>
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