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

Table of contents

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[51.] PROPOSITIO XXIV.
[52.] PROPOSITIO XXV.
[53.] PROPOSITIO XXVI.
[54.] SCHOLIVM I.
[55.] SCHOLIVM II.
[56.] SCHOLIVM III.
[57.] PROPOSITIO XXVII.
[58.] ALITER.
[59.] PROPOSITIO XXVIII.
[60.] SCHOLIVMI.
[61.] SCHOLIVM II.
[62.] PROPOSITIO XXIX.
[63.] SCHOLIV M.
[64.] PROPOSITIO XXX.
[65.] SCHOLIVM I.
[66.] SCHOLIVM II.
[67.] PROPOSITIO XXXI. Semifuſi parabolici cuiuſcunque, centrum grauitatis reperire.
[68.] SCHOLIVM.
[69.] PROPOSITIO XXXII.
[70.] SCHOLIV M.
[71.] PROPOSITIO XXXIII.
[72.] SCHOLIVM.
[73.] PROPOSITIO XXXIV.
[74.] SCHOLIVM.
[75.] PROPOSITIO XXXV.
[76.] SCHOLIVM.
[77.] PROPOSITIO XXXVI.
[78.] SCHOLIVM.
[79.] PROPOSITIO XXXVII.
[80.] SCHOLIVM.
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            torum conorum: </s>
            <s xml:id="echoid-s807" xml:space="preserve">at L C, ad tubum eſt vt quadra-
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            tum A D, ad rectangulum A E C, nempe ex hy-
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            potheſi ſuppoſita per conuerſionem rationis, vt
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            G D, ad D B: </s>
            <s xml:id="echoid-s808" xml:space="preserve">tubus autem eſt ad differentiam fru-
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            ſtorum conorum vt tripla D B, ad D B, B k, & </s>
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            lam tertiam proportionalem. </s>
            <s xml:id="echoid-s810" xml:space="preserve">Ergo ratio L C, ad
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            differentiam ſegmentorum conorum componetur
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            quoque ex rationibus G D, ad D B, & </s>
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            ad D B, B K, & </s>
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            <s xml:id="echoid-s813" xml:space="preserve">Sed
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            ex dictis rationibus componitur etiam ratio tripli
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            rectanguli G D B, ad quadratum D B, </s>
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