Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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ponderi R, &
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quã
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proportionem habet ſemiſſis dia
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metri AB baſis prædictæ columnæ ad ſuam altitudi
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nem BC, eamdem habeat pondus R ad aliud pondus
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S. oſtendendum modò eſt vim ponderis S æqualem
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eſſe totali reſiſtentiæ contactus duarum
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prædictarũ
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ſuperficierum, ſeù potiùs æqualem eſſe vi, qua vacui
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reſiſtentia ſuperatur, vel potiùs pondus S ſufficerę
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ad diuellendam columnam à pauimento directa tra
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ctione, ſcilicèt detinendo, &
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baſim AB
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ſemper æquidiſtantem plano baſis DE. </
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ſeparationis ſuperficiei AB à pauimento debet pun
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ctum eius B contingere, & inniti ipſi pauimento, &
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angularitèr ſubleuari terminus oppoſitus A, vnà cum
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tota baſis ſuperficie AB, efficiendo nimirùm
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angulũ
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cum pauimenti plano DE; & hic obſeruari debent
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loca vbi duæ vires applicantur, ſcilicèt reſiſtentia, &
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eius, quæ eam ſuperat, & per quam directionem tra
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hunt & vim exercent; & pater, quòd reſiſtentia iņ
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omnibus
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inferioris ſuperficiei AB exiſtit,
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que</
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veluti totidem fibræ
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perpẽdicularitèr
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erectę ad
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planum ſubiectum, quæ cum eo coniunguntur colli
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ganturque; è contrà vis mouens M vectem CB adhi
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bet circa centrum firmum B, & quia vniuerſa reſi
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ſtentia vniformiter diſtribuitur per totam baſis ſu
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perficiem AB, reducitur, & perindè reſiſtit ac ſi iņ
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centro aggregati prædictarum fibrarum collocatą
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eſſet, centrum verò omnium fibrarum prædictarum
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idem eſt ac centrum I, quod eſt centrum eiuſdem ba
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ſis; quaproptèr maximus conatus vniuerſæ reſiſten-</
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