Casati, Paolo, De igne dissertationes physicae, 1686

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            <s xml:id="echoid-s20781" xml:space="preserve">
              <pb o="216" file="0644" n="644" rhead="Diſſertatio Septima."/>
            tantâ diminutione æquum eſt cenſere adhuc reliquas aquas ad
              <lb/>
            magnam altitudinem aſſurgere.</s>
            <s xml:id="echoid-s20782" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20783" xml:space="preserve">Grad. </s>
            <s xml:id="echoid-s20784" xml:space="preserve">Ex illâ aquarum deceſſione, niſi me fortè fallit mea
              <lb/>
            ratiocinatio, modicè decrevit altitudo. </s>
            <s xml:id="echoid-s20785" xml:space="preserve">Cum enim ſuperio-
              <lb/>
            ribus diebus in diluvii mentionem incidiſſemus, & </s>
            <s xml:id="echoid-s20786" xml:space="preserve">præter fon-
              <lb/>
            tium eruptiones, atque imbres maximos è nubibus delapſos,
              <lb/>
            etiam ex apertis Cœli cataractis aquas decidiſſe ſtatuiſſemus,
              <lb/>
            domum reverſus cœpi curioſiùs inquirere, quantum aquarum
              <lb/>
            cœleſtium oportuiſſet deſcendiſſe, ſi iis Solis univerſus orbis
              <lb/>
            fuiſſet coopertus. </s>
            <s xml:id="echoid-s20787" xml:space="preserve">En autem opportunè apud me eſt illa ipſa
              <lb/>
            ſchedula, in quâ Rationes inii, & </s>
            <s xml:id="echoid-s20788" xml:space="preserve">ſubduxi, non quidem om-
              <lb/>
            ninò minutâ ſubtilitate, ſed craſſiuſculè, licebitque ex eâ
              <lb/>
            numerorum notas legere. </s>
            <s xml:id="echoid-s20789" xml:space="preserve">Primùm ſtatui ſupremam Firma-
              <lb/>
            menti ſuperficiem, cui cohæret infima aquarum ſuperficies,
              <lb/>
            abeſſe à Telluris centro ſemid. </s>
            <s xml:id="echoid-s20790" xml:space="preserve">terr. </s>
            <s xml:id="echoid-s20791" xml:space="preserve">100000.</s>
            <s xml:id="echoid-s20792" xml:space="preserve">, totamque dia-
              <lb/>
            metrum ſemid. </s>
            <s xml:id="echoid-s20793" xml:space="preserve">200000. </s>
            <s xml:id="echoid-s20794" xml:space="preserve">Cum autem in circulo Ratio diametri
              <lb/>
            ad peripheriam ſit proximè ut 113. </s>
            <s xml:id="echoid-s20795" xml:space="preserve">ad 355.</s>
            <s xml:id="echoid-s20796" xml:space="preserve">, erit circuli maxi-
              <lb/>
            mi orbita ſemid. </s>
            <s xml:id="echoid-s20797" xml:space="preserve">628318 {66/113}. </s>
            <s xml:id="echoid-s20798" xml:space="preserve">Et quia cujuslibet globi ſuperfi-
              <lb/>
            cies Sphœrica, cum ſit quadrupla circuli maximi, habetur
              <lb/>
            ex ductu diametri in circuli maximi peripheriam, erit Fir-
              <lb/>
            mamenti ſuperficies convexa ſemid. </s>
            <s xml:id="echoid-s20799" xml:space="preserve">terr. </s>
            <s xml:id="echoid-s20800" xml:space="preserve">quadratarum 125663.
              <lb/>
            </s>
            <s xml:id="echoid-s20801" xml:space="preserve">716814. </s>
            <s xml:id="echoid-s20802" xml:space="preserve">Eſt autem ex Ricciolio in Geograph. </s>
            <s xml:id="echoid-s20803" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s20804" xml:space="preserve">5. </s>
            <s xml:id="echoid-s20805" xml:space="preserve">cap. </s>
            <s xml:id="echoid-s20806" xml:space="preserve">1. </s>
            <s xml:id="echoid-s20807" xml:space="preserve">
              <lb/>
            Terræ ſemidiameter milliar. </s>
            <s xml:id="echoid-s20808" xml:space="preserve">Rom. </s>
            <s xml:id="echoid-s20809" xml:space="preserve">Veſpas. </s>
            <s xml:id="echoid-s20810" xml:space="preserve">4673 {493/1000}, cujus
              <lb/>
            quadratum 21, 841536 {821/1000}. </s>
            <s xml:id="echoid-s20811" xml:space="preserve">Si per hunc numerum, neglectâ
              <lb/>
            fractione, multiplicetur Firmamenti ſuperficies inventa, inno-
              <lb/>
            teſcit in milliaribus quadratis 1. </s>
            <s xml:id="echoid-s20812" xml:space="preserve">744688. </s>
            <s xml:id="echoid-s20813" xml:space="preserve">594686. </s>
            <s xml:id="echoid-s20814" xml:space="preserve">786304. </s>
            <s xml:id="echoid-s20815" xml:space="preserve">Deinde
              <lb/>
            Terræ diametrum milliar. </s>
            <s xml:id="echoid-s20816" xml:space="preserve">9346 {986/1000}. </s>
            <s xml:id="echoid-s20817" xml:space="preserve">ducebam in ejuſdem pe-
              <lb/>
            ripheriam apud Ricciolium mill. </s>
            <s xml:id="echoid-s20818" xml:space="preserve">29349 {540/1000}, & </s>
            <s xml:id="echoid-s20819" xml:space="preserve">prodiit terræ
              <lb/>
            ſuperficies mill. </s>
            <s xml:id="echoid-s20820" xml:space="preserve">quadrat. </s>
            <s xml:id="echoid-s20821" xml:space="preserve">274. </s>
            <s xml:id="echoid-s20822" xml:space="preserve">329739 {486/1000}. </s>
            <s xml:id="echoid-s20823" xml:space="preserve">Et quia compara-
              <lb/>
            tis invicem tùm Firmamenti, tùm Terræ ſuperficiebus, ſi ea-
              <lb/>
            dem eſſet aquarum ſuper utramque altitudo (accipiatur ſu-
              <lb/>
            perficies quaſi plana eſſet) eſſent aquarum moles in Ratione
              <lb/>
            ipſarum ſuperficierum, etiam erit moles aquæ ſuper Firma-
              <lb/>
            menti ſuperficiem, ęqualis moli aquę ſupra ſuperficiem Terrę,
              <lb/>
            ſi altitudines ſint in reciprocâ Ratione ipſarum ſuperficierum.</s>
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