Angeli, Stefano degli, Miscellaneum hyperbolicum et parabolicum : in quo praecipue agitur de centris grauitatis hyperbolae, partium eiusdem, atque nonnullorum solidorum, de quibus nunquam geometria locuta est, parabola nouiter quadratur dupliciter, ducuntur infinitarum parabolarum tangentes, assignantur maxima inscriptibilia, minimaque circumscriptibilia infinitis parabolis, conoidibus ac semifusis parabolicis aliaque geometrica noua exponuntur scitu digna

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            <s xml:id="echoid-s1732" xml:space="preserve">
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            ſtrictorum ex varijs figuris genitorum, poſſunt dedu-
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            ci etiam in infinitis ſolidis annulorum latorum; </s>
            <s xml:id="echoid-s1733" xml:space="preserve">quæ
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            autem ea ſint, inſpiciatur ibidem. </s>
            <s xml:id="echoid-s1734" xml:space="preserve">Nos enim in præ-
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            ſenti non manifeſtabimus niſi inſinitorum annulo-
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            rum tam ſtrictorum, quam latorum centra grauita-
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            tis. </s>
            <s xml:id="echoid-s1735" xml:space="preserve">Nam facili negotio ex dictis in lib. </s>
            <s xml:id="echoid-s1736" xml:space="preserve">4. </s>
            <s xml:id="echoid-s1737" xml:space="preserve">infinit. </s>
            <s xml:id="echoid-s1738" xml:space="preserve">pa-
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            rab. </s>
            <s xml:id="echoid-s1739" xml:space="preserve">agnoſcemus figuras prædictas eſſe quantitates
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            proportionaliter analogas cum ſuis annulis, tam ſtri-
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            ctis, quam latis. </s>
            <s xml:id="echoid-s1740" xml:space="preserve">V. </s>
            <s xml:id="echoid-s1741" xml:space="preserve">g. </s>
            <s xml:id="echoid-s1742" xml:space="preserve">facile agnoſcemus figuram
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            A B C, eſſe quantitatem proportionaliter analogam
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            tam cum annulo ſtricto A B C H G, in prima figu-
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            ra, quam cum annulo lato ex eadem A B C, in ſe-
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            cunda figura. </s>
            <s xml:id="echoid-s1743" xml:space="preserve">Quare etiam duo annuli ex eadem
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            figura, nempe & </s>
            <s xml:id="echoid-s1744" xml:space="preserve">ſtrictus, & </s>
            <s xml:id="echoid-s1745" xml:space="preserve">latus erunt quantitates
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            proportionaliter analogæ tam in magnitudine, quam
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            in grauitate. </s>
            <s xml:id="echoid-s1746" xml:space="preserve">Sequitur ergo nos habere centra gra-
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            uitatis omnium illorum annulorum tam ſtrictorum,
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            quam latorum, quorum figurarum genitricium ſupra
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            explicatarum, habemus centrum grauitatis.</s>
            <s xml:id="echoid-s1747" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s1748" xml:space="preserve">Si ergo ſupponamus A B C, eſſe parallelogram-
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            mum veluti E C, quod rotetur vel circa ſuum latus
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            F C, vel circa T S, ei parallelum (quod ſemper intelli-
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            gendum erit in dicendis impoſterum, ne cogamur
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            idem cum lectorum tedio repetere) centrum grauita-
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            tis cylindri, vel tubi cylindrici, ſecabit F C, vel T S,
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            in ea ratione, in qua ſecat B D, centrum grauitatis
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            parallelogrammi.</s>
            <s xml:id="echoid-s1749" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s1750" xml:space="preserve">Si verò ſupponamus A B C, nobis repræſentare
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            infinitas parabolas, habebimus centrum </s>
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