Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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              <pb o="180" file="527.01.180" n="180" rhead="A*DDIT.* S*TAT. PARS TERTIA DE* F*LUIT.* A*CROB.*"/>
            per 1 propoſ. </s>
            <s xml:id="echoid-s4991" xml:space="preserve">hydroſtat. </s>
            <s xml:id="echoid-s4992" xml:space="preserve">aqua quemlibet ſibi datum in aqua locum ſervat, vas
              <lb/>
            iſtud ſuperficiarium in iſto ſitu permanebit; </s>
            <s xml:id="echoid-s4993" xml:space="preserve">atqueadeò, ſiveaqua, ſeu corpore
              <lb/>
            ABCD oppletum ſit, retinebit ſitum. </s>
            <s xml:id="echoid-s4994" xml:space="preserve">ſed infuſæ aquæ centrum, itemq́ue va-
              <lb/>
            ſis ſuperficiarii unum idemq́ue eſt, utpote L; </s>
            <s xml:id="echoid-s4995" xml:space="preserve">quare corporis ABCD gravita-
              <lb/>
            tis centrum, erit neceſſariò in vaſis ſuperficiarli pendula diametro M N. </s>
            <s xml:id="echoid-s4996" xml:space="preserve">Enim-
              <lb/>
            verò ſi fieri poſſit ſumatur extra, utin P; </s>
            <s xml:id="echoid-s4997" xml:space="preserve">id fieri plané nequit abſque mutatione
              <lb/>
            figuræ cavitatis aqueæ ICK, cum enim hunc habeat ſitum totius corporis cen-
              <lb/>
            tro conſtituto in O ex hypotheſi, tranſpoſita corporis materia, ut gravitatis cen-
              <lb/>
            trum deveniret ad P neceſſum eſſet B deſcendere, D autem adſcendere, & </s>
            <s xml:id="echoid-s4998" xml:space="preserve">C
              <lb/>
            converti verſus K, quod omnino theſi repugnat, atque alia eſſet aquæ cavitas,
              <lb/>
            quàm ea de qua quæſtio inſtituitur. </s>
            <s xml:id="echoid-s4999" xml:space="preserve">Quare corporis gravitatis centrum erit in
              <lb/>
            MN, videlicet infra cavitatis aqueæ gravitatis centrum L, vel ſupra, vel in ipſo.</s>
            <s xml:id="echoid-s5000" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5001" xml:space="preserve">C*ONCLUSIO.</s>
            <s xml:id="echoid-s5002" xml:space="preserve">* Itaque corpus fluitans iſtum ſibi vendicabit ſitum ut gra-
              <lb/>
            vitatis ſuæ centrum ſit in ſegmenti ſui in aquâ demerſi pendula gravitatis dia-
              <lb/>
            metro.</s>
            <s xml:id="echoid-s5003" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div686" type="section" level="1" n="486">
          <head xml:id="echoid-head517" xml:space="preserve">1 C*ONSECTARIUM.*</head>
          <p>
            <s xml:id="echoid-s5004" xml:space="preserve">Cum corporis gravitatis centrum ſupra aqueæ cavitatis gravitatis centrum
              <lb/>
            cõſiſtet, palam eſt ita ſumma prægravari ut omnia invertantur (ni ſuſtineantur)
              <lb/>
            donec corporis gravitatis diameter ſubeat cavitatis aqueæ gravitatis centrum
              <lb/>
            in pendula ejuſdem diametro. </s>
            <s xml:id="echoid-s5005" xml:space="preserve">Nam, verbi gratiâ, baculum incurvum aquæ in-
              <lb/>
            natans certum ſervabit ſitum, ut quamvis partem inferiorem vertas ſurſum, non
              <lb/>
            tamen ita permanebit, ſed ad priorem, quem ab initio obtinebat, ſitum redibit,
              <lb/>
            quia baculi gravitatis centrum tum non conſiſtit in aqueæ cavitatis gravitatis
              <lb/>
            diametro infra ejuſdem gravitatis centrum.</s>
            <s xml:id="echoid-s5006" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div687" type="section" level="1" n="487">
          <head xml:id="echoid-head518" xml:space="preserve">2 C*ONSECTARIUM.*</head>
          <p>
            <s xml:id="echoid-s5007" xml:space="preserve">Et pondere in navi aliove vaſe tranſpoſito ut aqueæ cavitatis figura mutetur,
              <lb/>
            aqueæ cavitatis centrilocum quoque mutari manifeſtum eſt.</s>
            <s xml:id="echoid-s5008" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div688" type="section" level="1" n="488">
          <head xml:id="echoid-head519" xml:space="preserve">3 C*ONSECTARIUM.*</head>
          <p>
            <s xml:id="echoid-s5009" xml:space="preserve">Liquetitem omne pondus, quod infra aqueæ cavitatis planum diametrale
              <lb/>
            horizonti parallelum collocatur, navem ſtabiliorem, quoque minus in ſummo
              <lb/>
            gravis, ſit efficere. </s>
            <s xml:id="echoid-s5010" xml:space="preserve">Contra autem, quod ſupra collocabitur ſummitatem aggra-
              <lb/>
            vat, ut facilius ſubvertatur.</s>
            <s xml:id="echoid-s5011" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div689" type="section" level="1" n="489">
          <head xml:id="echoid-head520" xml:space="preserve">NOTATO.</head>
          <p>
            <s xml:id="echoid-s5012" xml:space="preserve">Siduo gravitatis centra, videlicet altera aqueæ cavitatis, altera navis cætera-
              <lb/>
            rumq́ue rerum quas fert, ſint cognita, inveniri poſſe factione Staticâ nulla ad-
              <lb/>
            hibitâ experientiâ, quis oneratæ navis ſitus, quævé obliquitas futura ſit; </s>
            <s xml:id="echoid-s5013" xml:space="preserve">atque
              <lb/>
            utrum margines ejus infra aquam abdentur, nec ne, cui fini theorema iftud à
              <lb/>
            nobis inſtitutum fuit. </s>
            <s xml:id="echoid-s5014" xml:space="preserve">Sed quia inveſtigatio centrorum gravitatis adeò diverſa-
              <lb/>
            rum rerum, quibus navis ut plerumque oneratur, moleſta tædiiq́ue maximi
              <lb/>
            plena eſt, iſti negotio fuerit inutile Attamen quia Acrobaricorum in aqua flui-
              <lb/>
            tantium corporum cognitio alterubi forté uſui eſſe poſſit, autſi cui in inveſti-
              <lb/>
            gando ſubſidio eſſe poſſit, hoc pacto commentationem noſtram deſcribere
              <lb/>
            placuit.</s>
            <s xml:id="echoid-s5015" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div690" type="section" level="1" n="490">
          <head xml:id="echoid-head521" xml:space="preserve">F*LVITANTIVM* A*CROBARICORVM*</head>
          <head xml:id="echoid-head522" xml:space="preserve">FINIS.</head>
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