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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            parte rectanguli E D B, ſic D F, ad F O: </s>
            <s xml:id="echoid-s1234" xml:space="preserve">item fiat
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            vt parallelogrammum G D, ad exceſſum parallelo-
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            grammi G C, ſupra hyperbolam A B C, ſic D F,
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            ad F L: </s>
            <s xml:id="echoid-s1235" xml:space="preserve">tandem fiat vt L F, ad F O, ſic D F, ad
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            F k. </s>
            <s xml:id="echoid-s1236" xml:space="preserve">Dico punctum k, eſſe centrum grauitatis fi-
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            guræ A G H C B.</s>
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            <s xml:id="echoid-s1238" xml:space="preserve">Quoniam enim ex propoſit. </s>
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            G C, circa G H, eſt ad ſolidum ex figura A G H C B,
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            circa eandem G H, vt quadratum F D, ad quadra-
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            tum F B, cum tertia parte rectanguli E D B; </s>
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