Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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aut opus teſſellatum, vel muſiuum, itaque ſex priſ
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mata rectangula triangularia, & æquilatera ad vnum
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punctum plani ſubiecti ad aptata ſpatium omninò
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; ſic quoque quatuor priſmata quadrata, & non
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minùs tria priſmata hexagonalia, & nulla alia præ
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ter hæc, niſi baſes irregulares fuerint. </
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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pellantur; patet, quod octo cubi ſuis angulis ad
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punctum conuenientibus ſpatium complent, & nullæ
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aliæ figuræ, quę regulares ſint, & eiuſdem generis id
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ipſum efficere poſſunt, hoc
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ingenioſiſſimè Mau
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rolicus demonſtrauit, in ſuo Opuſculo nondùm edito
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de figuris ſpatium implentibus, qui præterea hallu
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cinationem Ariſtotelis, & Auerrois patefecit, noņ
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enim duodecim anguli pyramidum ſpatium implere
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poſſunt, ſed oportet vt octo anguli pyramidum ſex
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angulis octahedrorum aptè vniantur ad vnum pun
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ctum, vt ſpatium omninò expleant, & nullæ aliæ figu
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ræ præter iam dictas. </
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id
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earumdẽ
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figurarum, & ſymptomata, quæ in earum agitatione
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contingunt. </
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PROP. CCLXIII.
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Enumerantur figuræ ſolidæ, quæ intra alias agitatæ ſpatium
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implere, aut non implere poſſunt.
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<
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">ET primò facilè conſtat, quod priſmata, & Cylin
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dri moueri poſſunt motu directo axi
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ęquidiſtã-ti
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ti</
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intra cauitatem alterius corporis abſque pertur
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batione figuræ ambientis corporis, vt gladius intra </
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