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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[111.] SCHOLIVM I.
Page: 200 (188)
[112.] SCHOLIVM II.
Page: 201 (189)
[113.] PROPOSITIOLV.
Page: 201 (189)
[114.] PROPOSITIOLVI.
Page: 202 (190)
[115.] PROPOSITIO LVII.
Page: 203 (191)
[116.] PROPOSITIO LVIII.
Page: 204 (192)
[117.] SCHOLIVM.
Page: 205 (193)
[118.] PROPOSITIO LIX.
Page: 206 (194)
[119.] PROPOSITIO LX.
Page: 206 (194)
[120.] PROPOSITIO LXI.
Page: 207 (195)
[121.] SCHOLIVM.
Page: 208 (196)
[122.] PROPOSITIO LXII.
Page: 209 (197)
[123.] SCHOLIV M.
Page: 211 (199)
[124.] PROPOSITIO LXIII.
Page: 211 (199)
[125.] SCHOLIV M.
Page: 212 (200)
[126.] PROPOSITIO LXIV.
Page: 213 (201)
[127.] SCHOLIVM.
Page: 217 (205)
[128.] PROPOSITIO LXV.
Page: 217 (205)
[129.] SCHOLIVM.
Page: 220 (208)
[130.] PROPOSITIO LXVI.
Page: 221 (209)
[131.] SCHOLIVM.
Page: 226 (214)
[132.] FINIS.
Page: 227 (215)
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            <s xml:id="echoid-s3677" xml:space="preserve">
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            gamus conum ex triangulo L M C, qui vtique erit
              <lb/>
            minor cono ex triangulo K H C. </s>
            <s xml:id="echoid-s3678" xml:space="preserve">Conus ergo ex
              <lb/>
            triangulo E F C, cum ſit maximus inſcriptus in co-
              <lb/>
            noide, erit ex dictis, maximus inſcriptus in cono ex
              <lb/>
            triangulo I G C. </s>
            <s xml:id="echoid-s3679" xml:space="preserve">Non ergo erit maximus inſcriptus
              <lb/>
            in cono ex triangulo L M C. </s>
            <s xml:id="echoid-s3680" xml:space="preserve">Ergo conus ex triangu-
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            lo E F C, erit ad conum ex triangulo G I C, in ma-
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            iori ratione quam ad conum ex triangulo L C M. </s>
            <s xml:id="echoid-s3681" xml:space="preserve">Er-
              <lb/>
            go in multo maiori quam ad conum ex triangulo
              <lb/>
            H k C. </s>
            <s xml:id="echoid-s3682" xml:space="preserve">Non ergo erit minimus conus ex triangulo
              <lb/>
            k H C, ſed ille ex triangulo IGC.</s>
            <s xml:id="echoid-s3683" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3684" xml:space="preserve">Patiter ſi conus ex triangulo E N C, ſit maximus
              <lb/>
            inſcriptus in ſemifuſo ex ſemiparabola A B C, reuo-
              <lb/>
            luta circa A C, conus ex triangulo G I C, circa I C,
              <lb/>
            erit minimus circumſcriptus ſemifuſo; </s>
            <s xml:id="echoid-s3685" xml:space="preserve">quod, vt pa-
              <lb/>
            tet, probabitur eodem modo. </s>
            <s xml:id="echoid-s3686" xml:space="preserve">Quare pater propo-
              <lb/>
            ſitum.</s>
            <s xml:id="echoid-s3687" xml:space="preserve"/>
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        <div xml:id="echoid-div190" type="section" level="1" n="125">
          <head xml:id="echoid-head137" xml:space="preserve">SCHOLIV M.</head>
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            <s xml:id="echoid-s3688" xml:space="preserve">Cum ergo in propoſitionibus 58, & </s>
            <s xml:id="echoid-s3689" xml:space="preserve">61, aſſigna-
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            uerimus conos maximos inſcriptos in conoidibus, & </s>
            <s xml:id="echoid-s3690" xml:space="preserve">
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            in ſemifuſis, pariter explicauimus vnica vice, conos
              <lb/>
            ctiam minimos prædictis ſolidis circumſcriptos. </s>
            <s xml:id="echoid-s3691" xml:space="preserve">No-
              <lb/>
            tandum tamen diuerſos eſſe conos minimos his ſoli-
              <lb/>
            dis circumſcriptos; </s>
            <s xml:id="echoid-s3692" xml:space="preserve">nam in cono circumſcripto co-
              <lb/>
            noidi, C F, eſt tertia pars G C; </s>
            <s xml:id="echoid-s3693" xml:space="preserve">in cono vero cir-
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            cumſcripto ſemifuſo, C F, eſt duæ tertiæ partes G C.
              <lb/>
            </s>
            <s xml:id="echoid-s3694" xml:space="preserve">Quæ omnia cum ſint manifeſtiſſima ex ſupra </s>
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