Casati, Paolo, De igne dissertationes physicae, 1686

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              <pb o="224" file="0652" n="652" rhead="Diſſertatio Septima."/>
            non abeſſe, quæ ſolido pariter tecto illud concludi opinetur;
              <lb/>
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            <s xml:id="echoid-s21050" xml:space="preserve">adeò ut Empyreum univerſum tres in partes tribuatur, qua-
              <lb/>
            rum extremæ, ſuprema videlicet & </s>
            <s xml:id="echoid-s21051" xml:space="preserve">infima, ſolidæ ſint, media
              <lb/>
            autem fluida illis concluſa, ut abſolutè ſolidum dici queat.</s>
            <s xml:id="echoid-s21052" xml:space="preserve"/>
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            <s xml:id="echoid-s21053" xml:space="preserve">Grad. </s>
            <s xml:id="echoid-s21054" xml:space="preserve">Quoniam Firmamenti, quod cum aſtris in gyrum,
              <lb/>
            agitur, ſuperficies eſt ſphœrica, atque huic congruunt aquæ
              <lb/>
            cœleſtes, quas paribus à ſphœrę mundanæ centro intervallis diſ-
              <lb/>
            poſitas aſſerere æquum eſt, etiam Empyrei illas complectentis
              <lb/>
            ſuperficiem concavam cum illis convenire, non videtur dubi-
              <lb/>
            tandum. </s>
            <s xml:id="echoid-s21055" xml:space="preserve">Niſi fortè aliquibus aſſentiamur Empyreum cum,
              <lb/>
            reliquo Orbe mundano comparatum concipientibus quaſi Cu-
              <lb/>
            bum, cui inſcripta ſit Sphœra: </s>
            <s xml:id="echoid-s21056" xml:space="preserve">adeòque cum planam Empyrei
              <lb/>
            ſuperficiem, juxta Cubi naturam, definiant, inquirunt, quo-
              <lb/>
            nam corpore repleantur anguli illi, quos vacuos non admittunt;
              <lb/>
            </s>
            <s xml:id="echoid-s21057" xml:space="preserve">eſſet ſcilicet ſpatium illud inane ſatis amplum. </s>
            <s xml:id="echoid-s21058" xml:space="preserve">Cum enim,
              <lb/>
            Sphœra Cylindro inſcripta ſit Cylindri ſubſeſquialtera, hoc eſt
              <lb/>
            ut 2. </s>
            <s xml:id="echoid-s21059" xml:space="preserve">ad 3. </s>
            <s xml:id="echoid-s21060" xml:space="preserve">Cylindrus autem Cubo inſcriptus ſit ad ipſum Cubum
              <lb/>
            in Ratione Circuli Quadrato inſcripti, videlicet baſium, hoc
              <lb/>
            eſt proximè ut 11. </s>
            <s xml:id="echoid-s21061" xml:space="preserve">ad 14.</s>
            <s xml:id="echoid-s21062" xml:space="preserve">, erit Sphœra Cubo inſcripta ad ipſum
              <lb/>
            Cubum in Ratione 22. </s>
            <s xml:id="echoid-s21063" xml:space="preserve">ad 42.</s>
            <s xml:id="echoid-s21064" xml:space="preserve">, ſeu 11. </s>
            <s xml:id="echoid-s21065" xml:space="preserve">ad 21.</s>
            <s xml:id="echoid-s21066" xml:space="preserve">, adeóque ſpatium
              <lb/>
            illud à Sphœrâ mundanâ in angulis relictum eſſet ferè tantum,
              <lb/>
            quanta eſt ipſa Sphœra mundana. </s>
            <s xml:id="echoid-s21067" xml:space="preserve">At non videtur tanta ina-
              <lb/>
            nitas Naturæ amica; </s>
            <s xml:id="echoid-s21068" xml:space="preserve">ideò inquirendum eſſet corpus illam,
              <lb/>
            replens; </s>
            <s xml:id="echoid-s21069" xml:space="preserve">quandoquidem in cœleſtibus ęquabilitatem religiosè
              <lb/>
            exigunt, nec ipſum Cœlum Empyreum facilè admittunt quaſi
              <lb/>
            duo Scaphia ex Cubo reſecta & </s>
            <s xml:id="echoid-s21070" xml:space="preserve">invicem applicata, ut munda-
              <lb/>
            nam Sphœram complectantur. </s>
            <s xml:id="echoid-s21071" xml:space="preserve">Cum itaque mihi nunquam
              <lb/>
            viſus ſit Cubus perfectior quàm ſphœra, cujus omnes partes
              <lb/>
            extremæ paribus radiis à centro abſunt, non video, cur Em-
              <lb/>
            pyrei concava ſuperficies ad nos obverſa ſphœrica non ſit: </s>
            <s xml:id="echoid-s21072" xml:space="preserve">
              <lb/>
            atque propterea ſimilem ſuperficiem ſuperiori parti, quam Beati
              <lb/>
            calcant, empyrei altitudinem definienti tribuendam cenſeo.</s>
            <s xml:id="echoid-s21073" xml:space="preserve"/>
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            <s xml:id="echoid-s21074" xml:space="preserve">Dand. </s>
            <s xml:id="echoid-s21075" xml:space="preserve">Æqualitas tùm laterum, tùm ſuperficierum non eſt
              <lb/>
            Cubo præcipua, ſed illi cum cæteris corporibus Regularibus
              <lb/>
            communis: </s>
            <s xml:id="echoid-s21076" xml:space="preserve">Eſto hìc apud nos ad Cubi ſuper planum horizon-
              <lb/>
            tale ſtabilitatem atque immobilitatem plurimum conferat,
              <lb/>
            quòd ex tribus quadratis angulus ſolidus conſtituatur; </s>
            <s xml:id="echoid-s21077" xml:space="preserve">ſed non
              <lb/>
            minor ſtabilitas convenit Tetraëdro ſeu Pyramidi, cujus angu-
              <lb/>
            lus ſolidus à tribus triangulis æquilateris conſtituitur: </s>
            <s xml:id="echoid-s21078" xml:space="preserve">immò
              <lb/>
            difficiliùs voluitur Tetraëdrum quàm Cubus, ſi cætera fuerint
              <lb/>
            paria. </s>
            <s xml:id="echoid-s21079" xml:space="preserve">Propterea Cubicam hujuſmodi figuram Empyreo </s>
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