Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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61 - 90
91 - 120
121 - 150
151 - 180
181 - 186
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61 - 90
91 - 120
121 - 150
151 - 180
181 - 186
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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<
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">Cogitemus modò CB eſſe
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laminã
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, ſen
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fragmentũ
">fragmentum</
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,
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quod ex integro marmore AB
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diſrũpitur
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, licèt in actu
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diuulſionis inflectatur lamina CB, tamen non acqui
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rit perfectam curuitatem, quia non componitur ex
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punctis actu inter ſe diſcretis, & inæqualibus moti
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bus agitatis, ſed conſtat ex partibus quantis, figura</
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tis, omninò duris, & rigidis, vt oſtenſum eſt; ideoque
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in eius inflexione acquiret figuram ex pluribus fa
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cieculis, & ex pluribus angulis ſolidis compoſitam,
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& ſic verum eſt, quòd integra diſtractio, & diuulſio
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ſucceſſiuè, & in tempore abſoluitur, at vnaquæque
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ex illis facieculis inflexibilibus à ſubiecta lamina,
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cũ
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qua vnita, & conglutinata erat, diuelli debet, non in
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tempore, ſed in inſtanti, vt ex dictis deducitur; mo
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dò, quia ſpatiola illa vacua priſmatica
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abbr
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triãgularia
">triangularia</
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, in
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inſtanti creata, nequeunt in inſtanti repleri neque à
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ſolido, neque à fluido, ambiente corpore etiam ra
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refacto, quandoquidem motus, quo accurrere de
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bent ad illud ſpatium replendum in inſtanti fieri non
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poteſt; ergo neceſſariò vacuum in illis interſtitijs ſal
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tem per aliquod breue tempus admitti debet, & hoc
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ſufficit ad
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probãdum
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, nedùm vacuum impoſſibile
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nõ
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eſſe, ſed neceſſariò requiri ad talem motum
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efficiẽdũ
">efficiendum</
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. </
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Prop. 251.
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uſq;
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Cor
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Prop. 264.</
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Prop. 265.</
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PROP. CCLXVII.
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In eadem ſcisſione non poteſt fluidum ambiens omninò crea
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ta ſpatia vacua replere.
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<
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">COnſideremus poſtea materiam corpoream, quæ
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accurrere debet ad replendum illud ſpatium̨
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vacuum, quod continentèr augetur mutando
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figurã
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; </
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