Casati, Paolo, De igne dissertationes physicae, 1686

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            <s xml:id="echoid-s1783" xml:space="preserve">
              <pb o="54" file="0066" n="66" rhead="Diſſertatio Tertia."/>
            grauitati addita conſtituit aliquid magis graue; </s>
            <s xml:id="echoid-s1784" xml:space="preserve">igitur & </s>
            <s xml:id="echoid-s1785" xml:space="preserve">leue
              <lb/>
            additum leui facit aliquid leuius: </s>
            <s xml:id="echoid-s1786" xml:space="preserve">quapropter, cum aër in folle
              <lb/>
            pugillatorio additus aëri efficiat molem grauiorem, indicium eſt
              <lb/>
            graue additum fuiſſe graui. </s>
            <s xml:id="echoid-s1787" xml:space="preserve">Nam hęc argumentandi forma perin-
              <lb/>
            de eſt, ac ſi dicerem, longitudo addita longitudini facit Maius;
              <lb/>
            </s>
            <s xml:id="echoid-s1788" xml:space="preserve">Multum additum multo facit plus; </s>
            <s xml:id="echoid-s1789" xml:space="preserve">Craſſum additum craſſo facit
              <lb/>
            craſſius; </s>
            <s xml:id="echoid-s1790" xml:space="preserve">igitur Paruum additum paruo facit breuius, Modicum
              <lb/>
            additum modico facit minus, Tenue additum tenui facit ſubti-
              <lb/>
            lius: </s>
            <s xml:id="echoid-s1791" xml:space="preserve">Cum autem huiuſcemodi conſecutiones manifeſtâ falſitate
              <lb/>
            laborent, quia quæ per exuperantiam & </s>
            <s xml:id="echoid-s1792" xml:space="preserve">defectum opponuntur,
              <lb/>
            contrario modo ſe habent, & </s>
            <s xml:id="echoid-s1793" xml:space="preserve">ad augendam denominationem
              <lb/>
            exuperantibus additio, deficientibus detractio conuenit; </s>
            <s xml:id="echoid-s1794" xml:space="preserve">ideò ad
              <lb/>
            conſtituendam leuitatem maiorem non eſt addendum leue leui in
              <lb/>
            eodem ſpatio, ſed demendum leue ex leui. </s>
            <s xml:id="echoid-s1795" xml:space="preserve">Quamquam eo ipſo
              <lb/>
            quod in eodem ſpatio corporis cœteroqui leuis (aut ſaltem non
              <lb/>
            grauis, quia in loco ſuo) conſtipatur alia pars corporis ſimplici-
              <lb/>
            ter & </s>
            <s xml:id="echoid-s1796" xml:space="preserve">ſolitariè leuis extra illud ſpatium, iam non ſunt duo leuia,
              <lb/>
            ſed factum eſt vnum graue: </s>
            <s xml:id="echoid-s1797" xml:space="preserve">neque enim hìc res ſe habet, quemad-
              <lb/>
            modum ſi ex naui exportentur ſarcinę, quarum in locum ſuccedit
              <lb/>
            aër, & </s>
            <s xml:id="echoid-s1798" xml:space="preserve">aëre addito aëri nauis fit leuior.</s>
            <s xml:id="echoid-s1799" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1800" xml:space="preserve">Similiter prætereo Hydroſtaticum fundamentum ex Archimede
              <lb/>
            petitum, vbiliquoris partes premere, & </s>
            <s xml:id="echoid-s1801" xml:space="preserve">vrgere ſe inuicem, po-
              <lb/>
            nuntur: </s>
            <s xml:id="echoid-s1802" xml:space="preserve">Hæc enim mera Hypotheſis eſt, quam aſſumere non exa-
              <lb/>
            minatis Phyſicis rationibus Geometræ licuit: </s>
            <s xml:id="echoid-s1803" xml:space="preserve">Cœterùm, preſſione
              <lb/>
            omni valere iuſſâ, quæ merguntur, pro diſſimilitudine conſtipa-
              <lb/>
            tionis materiæ grauitant; </s>
            <s xml:id="echoid-s1804" xml:space="preserve">quæ innatant, parem habent depreſ-
              <lb/>
            ſæ partis leuitatem cum grauitate emerſæ. </s>
            <s xml:id="echoid-s1805" xml:space="preserve">Si enim aër aquam pre-
              <lb/>
            mit, & </s>
            <s xml:id="echoid-s1806" xml:space="preserve">aqua aquam, ſit in vaſe ſuperficies aquæ FG, cui innatat
              <lb/>
            cylindrus ligneus *da*, & </s>
            <s xml:id="echoid-s1807" xml:space="preserve">extra aquam eſt pars *cd*. </s>
            <s xml:id="echoid-s1808" xml:space="preserve">Superficiei aquę
              <lb/>
            FG intelligatur parallela ſuperficies HI, in qua eſt
              <lb/>
              <figure xlink:label="fig-0066-01" xlink:href="fig-0066-01a" number="4">
                <image file="0066-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-01"/>
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            baſis lignei cylindri *ab*. </s>
            <s xml:id="echoid-s1809" xml:space="preserve">Iam ſic. </s>
            <s xml:id="echoid-s1810" xml:space="preserve">Si partes ſuper-
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            ficiei HI non premerentur æqualiter ab impoſitis
              <lb/>
            partibus, pars minùs preſſa vrgeretur ſurſum: </s>
            <s xml:id="echoid-s1811" xml:space="preserve">igi-
              <lb/>
            tur tam premit cylindrus ligneus *da* vnã cum in-
              <lb/>
            cumbente illi cylindro aërio, quàm premant aquei
              <lb/>
            cylindriæqualis baſis ſimul cum impoſitis cylindris
              <lb/>
            aërijs: </s>
            <s xml:id="echoid-s1812" xml:space="preserve">at reliqui cylindri aërij longiores ſunt illo, qui incumbit-
              <lb/>
            cylindro ligneo, aquei verò cylindri æqualis baſis non ſunt </s>
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