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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[41.] PROPOSITIO XIX.
[42.] SCHOLIVM I.
[43.] SCHOLIVM II.
[44.] PROPOSITIO XX.
[45.] SCHOLIVM.
[46.] PROPOSITIO XXI.
[47.] PROPOSITIO XXII.
[48.] SCHOLIVMI.
[49.] SCHOLIVM II.
[50.] PROPOSITIO XXIII.
[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.
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            fu obtinebit. </s>
            <s xml:id="echoid-s692" xml:space="preserve">Quoniam enim conuertendo L P, eſt
              <lb/>
            ad P Q, vt tertia pars B D, ad dimidiam G B;
              <lb/>
            </s>
            <s xml:id="echoid-s693" xml:space="preserve">ergo cum B L, ſit octupla L Q, B P, erit ad P Q,
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            vt 9. </s>
            <s xml:id="echoid-s694" xml:space="preserve">tertiæ partes B D (nempe vt tripla B D) cum
              <lb/>
            8. </s>
            <s xml:id="echoid-s695" xml:space="preserve">dimidijs G B (nempe cum quadrupla G B) ad
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            dimidiam G B. </s>
            <s xml:id="echoid-s696" xml:space="preserve">Pariter cum D Q, ſit tripla Q L; </s>
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            erit P Q, ad P D, vt dimidia G B, ad quadruplam
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            dimidiam G B (nempe ad duplam G B) vna cum
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            tribus tertijs partibus B D (nempe cum B D). </s>
            <s xml:id="echoid-s698" xml:space="preserve">Er-
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            go ex æquali, erit B P, ad P D, vt quadrupla G </s>
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