Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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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. </s>
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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
                <expan abbr="grauiũ">grauium</expan>
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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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              <s id="s.002266">SI enim fieri poteſt mobile A in vacuo infinitą
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              velocitate BC moueatur, & quia
                <expan abbr="nõ">non</expan>
              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
                <expan abbr="idẽ">idem</expan>
              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
                <expan abbr="aerẽ">aerem</expan>
              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
                <expan abbr="oſtendendũ">oſtendendum</expan>
              . </s>
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