Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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ſupra nihilum, ſeù ſupra vacuum eminet, eodem modo,
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ac id, quod linea palmaris nihilum ſuperat, vel ſupra
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id eminet, nil aliud planè eſt, quàm entitas finitą
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eiuſdem lineæ palmaris. </
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Cap. 10. de
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æquitempo
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ranea natu
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rali veloci
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tate
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PROP. CCV.
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Hoc poſito ostendemus velocitatem cuiuslibet corporis gra
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uis in vacuo eſſe finitam, & in tempore abſolui.
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">SI enim fieri poteſt mobile A in vacuo infinitą
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velocitate BC moueatur, & quia
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nõ
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alia de cau
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ſa in aere corpus A tardiùs mouetur,
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niſi quia aer pro menſura eius denſi
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tatis impedit, & retardat eam velo
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citatem, quam aptum natum eſt exer
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cere
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abbr
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idẽ
">idem</
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corpus A, remotis omnibus
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impedimentis; eſtque aeris denſitas
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finita, ideoque reſiſtentia, & retar
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datio erit quid finitum; ſit illa BE,
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ergo ab abſoluta, & totali velocita
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te BC ablata retardatione BE rema
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nebit velocitas EC, qua per
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mouebitur corpus
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prædictum; ſed ab infinita velocitate BC ablata fini
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ta velocitate retardationis BE, remanebit adhùc infi
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nita velocitas EC, quare corpus A in aere mouebitur
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infinita velocitate EC, quod eſt abſurdum, conſtat
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enim per aerem velocitate finita, & temporanea mo
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ueri: qua propter in vacuo non mouebitur infinitą,
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ſeù inſtantanea velocitate, quod fuerat
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oſtendendũ
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. </
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