Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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<
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gnum: ita quælibet linea curua, ſeu conuexa antequam fiat
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concaua, prius debet fieri recta: abſurdum igitur apparet, ean
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dem omnino circuli periferiam, ſimul conſtitui concauam,
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& conuexam. </
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<
s
id
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">Nec difficultatem euadunt, qui dicunt, concauum, & con
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uexum realiter non eſſe idem in circulo, ſeu curuitatem, &
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concauitatem non reperiri in eadem linea, ſed in diuerſis, ità
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vt in circunferentia ſit tantum curuitas, ſeù conuexum, con
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cauitas verò ſit potius in corpore extrinſeco ambiente per li
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neam illi correſpondentem. </
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<
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id
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">Etenim cum linea corporis con
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tinentis ambiens circulum, penetretur in eodem ſpacio cum
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circunferentia ipſius circuli,
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abbr
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conſidereturq.
">conſidereturque</
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ſola quantitas
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abſtracta, & figura vtriuſque lineæ coincidentis, eadem ſem
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per difficultas obſtabit; nempè quo pacto fieri poſſit, vt
<
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abbr
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eadẽ
">eadem</
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>
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longitudo latitudinis expers, circulum terminans, ſeù circu
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lariter extenſa, ſimul ſit concaua, & conuexa. </
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>
<
s
id
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N11319
">Sed nihil pro
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hibet eandem circumferentiam indiuisibilem quoad latitudi
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nem, & profunditatem, ſimul eſſe concauam, & conuexam
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reſpectu diuerſorum, vt in alijs etiam linearum figuris, ac ſu
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perficiebus poterit exemplificari: & vt eadem via dicitur
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acliuis, & decliuis; idemque magnum, & paruum rei pectu di
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uerſorum, quæ cum illo comparantur. </
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<
s
id
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N11328
">Quo fit, vt admiran
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dam quidem eſſe huiuſmodi proprietatem circuli iure dica
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mus, nullam tamen in ſe
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abbr
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repugnantiã
">repugnantiam</
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inuoluere admittamus. </
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<
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De tertia Circuli proprietate.
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<
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">Textus Quintus.</
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<
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">A
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ltervm autem, quod ſimul contrarijs
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mouetur motionibus: ſimul enim ad anterio
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rem mouetur locum, & ad poſteriorem. </
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>
<
s
id
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">Et
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ea, quæ circulum deſcribit, linea eodem ſe
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habet modo: Ex que enim incipit loco, illius
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extremum, ad eundem rurſus redit: Illa
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enim continuò commota, extremum rurſus efficitur primum.
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