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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            exceſſus ex F B H, reuoluta circa B E, ſic ſecabic
              <lb/>
            B E, vt pars terminata ad B, ſit ad partem termina-
              <lb/>
            tam ad E, vel vt rectangulum R T Y, cum dimi-
              <lb/>
            dio rectanguli F H G, ad rectangulum R T Y: </s>
            <s xml:id="echoid-s3177" xml:space="preserve">vel
              <lb/>
            vt rectangulum A T B, cum dimidio rectanguli
              <lb/>
            A H B, ad rectangulum A T B: </s>
            <s xml:id="echoid-s3178" xml:space="preserve">vel vt rectangulum
              <lb/>
            D V B, cum dimidio rectanguli D E B, ad rectan-
              <lb/>
            gulum D V B: </s>
            <s xml:id="echoid-s3179" xml:space="preserve">vel compendioſius, vt E D, D V,
              <lb/>
            ad D V: </s>
            <s xml:id="echoid-s3180" xml:space="preserve">ſeù, quod idem eſt, vt A H A T, ad A T.
              <lb/>
            </s>
            <s xml:id="echoid-s3181" xml:space="preserve">Pariter ſequitur, quod E V, ſic ſecabitur à prædi-
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            cto centro, vt pars terminata ad E, ſit ad partem
              <lb/>
            terminatam ad V, vt V D, ad dimidiam D E: </s>
            <s xml:id="echoid-s3182" xml:space="preserve">ſeù
              <lb/>
            vt T A, ad dimidiam A H: </s>
            <s xml:id="echoid-s3183" xml:space="preserve">ſeù vt rectangulum
              <lb/>
            B V D, ad dimidium rectanguli B E D: </s>
            <s xml:id="echoid-s3184" xml:space="preserve">ſeù vt re-
              <lb/>
            ctangulum B T A, ad dimidium rectanguli B H A: </s>
            <s xml:id="echoid-s3185" xml:space="preserve">
              <lb/>
            feù tandem vt rectangulum R T Y, ad dimidium
              <lb/>
            rectanguli F H G.</s>
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            <s xml:id="echoid-s3187" xml:space="preserve">Item cumin ſchem. </s>
            <s xml:id="echoid-s3188" xml:space="preserve">poſito in ſchol. </s>
            <s xml:id="echoid-s3189" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s3190" xml:space="preserve">40. </s>
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