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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            tem A H; </s>
            <s xml:id="echoid-s3228" xml:space="preserve">ergo factum ſub D A, & </s>
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            poteſtate A H, erit ęquale poteſtati B D, eiuſdem
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            gradus cumparabola. </s>
            <s xml:id="echoid-s3230" xml:space="preserve">Cum autem ſit ex geneſi pa-
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            rabolæ, vt poteſtas B D, eiuſdem gradus cum para-
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            bola ad ſimilem poteſtatem G L, ſic D A, ad A L.
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            </s>
            <s xml:id="echoid-s3231" xml:space="preserve">Ft vt D A, ad A L, ſic factum ſub D A, & </s>
            <s xml:id="echoid-s3232" xml:space="preserve">ſub po-
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            teſtate A H, vno gradu depreſſiore poteſtate para-
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            bolæ, ad factum ſub L A, & </s>
            <s xml:id="echoid-s3233" xml:space="preserve">ſub prędicta poteſtate
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            A H. </s>
            <s xml:id="echoid-s3234" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s3235" xml:space="preserve">vt factum ſub D A, & </s>
            <s xml:id="echoid-s3236" xml:space="preserve">ſub tali pote-
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            ſtate A H, ad factum ſub L A, & </s>
            <s xml:id="echoid-s3237" xml:space="preserve">ſub poteſtate
              <lb/>
            A H, ſic poteſtas B D, eiuſdem gradus cum parabo-
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            la ad ſimilem poteſtatem G L. </s>
            <s xml:id="echoid-s3238" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s3239" xml:space="preserve">permutan-
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            do, vt factum ſub D A, & </s>
            <s xml:id="echoid-s3240" xml:space="preserve">ſub tali poteſtate A H,
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            ad poteſtatem B D, eiuſdem gradus cum parabola,
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            ſic factum ſub L A, & </s>
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