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

Table of figures

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              cap. 2. prop. 4.
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              & 11.</s>
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              Cap. 11. gra­
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              uia in fluido
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              velocitati­
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              bus inæqua­
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              libus ferri
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              debere.</s>
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              <s id="s.002518">Sed hoc
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              eſt de æquilibrio, & de vi motiua qua
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              corpus in aqua aſcendit, vel deſcendit, non verò de
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              celeritate motus eius, non enim motus eius retarda­
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              tur omninò, ſed ſolummodò non augetur eodem pro­
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              greſſu quo dum infra aquam poſitum ferebatur. </s>
              <s id="s.002519">Et
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              hoc pendet ab impetu acquiſito in præcedenti motu,
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              qui impetus perſeuerans ex ſui natura ſuum effectum
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              velocitatis producit, licet cauſa impulſiua non per­
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              ſeueret eiuſdem gradus, ſed continentèr debilitetur;
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              & hæc eſt ratio quare lignum aſcendens non quieſcit
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              præcisè in eo ſitu in quo æquilibratur cum aqua col­
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              laterali, ſed altiùs ab impetu præconcepto impelli­
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              tur, & indè deorsùm decidendo repetitis aliquibus
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              vibrationibus, tandem in ſitu æquilibrij quieſcit. </s>
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              <s id="s.002520">Et hic patet quo ſenſu intelligi debeat propoſitio </s>
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              Archimedea, quæ habet quod tanta vi leue corpus
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              infra
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              fluidum demerſum ſursùm
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              ,
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                tum</expan>
              eſt pondus, quo fluidum æquale ipſi ſolido idip­
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              ſum ſuperat. </s>
              <s id="s.002522">Hoc profectò verum eſt non de motu,
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              atque celeritate qua lignum ex. </s>
              <s id="s.002523">gr. ſursùm aſcendit,
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              ſed de energia, qua lignum in ſtatu quietis ſursùm ni­
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              titur aſcendere, ſcilicèt ſi impediatur eius motus, vt
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              in bilanci contingit, tunc quidem propoſitio verifi­
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              catur, non verò in actu motionis eius, nam tunc im­
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              petus quo ſursùm aſcendit, auctus à præcedenti mo­
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              tu ſuperabit quamcumque immenſam vim compreſſ
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              ſiuam cuiuslibet vaſtiſſimi ponderis incumbentis, vt
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              in noſtro Opere de vi percuſs. </s>
              <s id="s.002524">oſtenſum eſt. </s>
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              Incidenter
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              verus ſenſuæ
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              Archimedis
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              declaratur.</s>
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              De
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              hu­
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              mido lib. 1.
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              pr. 6.</s>
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            <p type="main">
              <s id="s.002527">Præterea altera Archimedis propoſitio, quod ni­
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