Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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debent, quod fuerat oſtendendum. </
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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De vi per
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cuſs. </
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">cap. 26.</
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Pr. 137.</
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Prn. 135. &
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136.</
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Pr. 134.</
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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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">Hinc ſequitur quòd partes minimæ
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corporũ
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flui
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dorum, mollium, & flexibilium figuram aliquam̨
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habere debent, omninò rigidam, duriſſimamquę.
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">Pręterea deducitur, quòd in flexibili corpore flexio
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eius fieri, continuarique poteſt, quouſque ad parti
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culas omninò duras perueniatur, quæ poſtea nullo
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pacto flecti poſſunt; quia quodlibet corpus durum,
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quantum ſuos fines, ac terminos habere debet, igi
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tur neceſſariò aliqua figura comprehenditur, ac ter
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minatur, & ideò aut habebit figuram curuam, & ro
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tundam, aut polihedram, aut mixtam, neque abſque
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aliqua ex his concipi poteſt. </
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">His præmiſſis vlteriùs procedendo examinemus
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quænam figuræ ſpatium implere poſſunt, & quæ
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. </
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pũcto
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plani ſub
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iecti circumcirca effici poſſunt, æquales eſſe quatuor
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rectis angulis planis, ſi verò prædicti anguli minores
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quatuor rectis fuerint, neceſſariò hiatum, & ſpatium
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aliquod relinqui debere ab ijſdem angulis non re
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pletum. </
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De figuris
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ſpatium im
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plentibus
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hypotheſes.</
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eſt angulos ſolidos, qui ab vno pun
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cto ſpatij trinam dimenſionem habentis vndiquę
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effici poſſunt, æquales eſſe octo angulis rectis ſolidis
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à qua ſumma ſi defecerint, procùl dubio hiatus, &
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ſpatia aliqua inania trinam dimenſionem habentią
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remanere debent. </
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PROP. CCLXII.
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Quænam figuræ planæ, & ſolidæ ſuis angulis
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ſpatiũ
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implere
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posſint.
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