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

< >
[11.] PROPOSITIO IV.
[12.] SCHOLIVM I.
[13.] SCHOLIVM II.
[14.] PROPOSITIO V.
[15.] PROPOSITIO VI.
[16.] SCHOLIV M.
[17.] PROPOSITIO VII.
[18.] PROPOSITIO VIII.
[19.] PROPOSITIO IX.
[20.] PROPOSITIO X.
[21.] SCHOLIVM I.
[22.] SCHOLIVM II.
[23.] SCHOLIVM III.
[24.] PROPOSITIO XI.
[25.] PROPOSITIO XII.
[26.] SCHOLIVM.
[27.] PROPOSITIO XIII.
[28.] SCHOLIV M.
[29.] PROPOSITIO XIV.
[30.] SCHOLIV M.
[31.] PROPOSITIO XV.
[32.] SCHOLIVM.
[33.] PROPOSITIO XVI.
[34.] SCHOLIVM.
[35.] PROPOSITIO XVII. Segmenti fupradicti conoidis hyperbolici centrum grauitatis reperire.
[36.] SCHOLIVM.
[37.] PROPOSITIO XVIII.
[38.] SCHOLIVM I.
[39.] SCHOLIVM II.
[40.] SCHOLIVM III.
< >
page |< < (13) of 232 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div19" type="section" level="1" n="14">
          <pb o="13" file="0025" n="25"/>
          <figure number="10">
            <image file="0025-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/PVNDER1Y/figures/0025-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s315" xml:space="preserve">INtelligantur omnia ſolida antecedentis propo-
              <lb/>
            ſit. </s>
            <s xml:id="echoid-s316" xml:space="preserve">& </s>
            <s xml:id="echoid-s317" xml:space="preserve">ipſis conoidibus ſint circumſcripti cylindri
              <lb/>
            QC, TF. </s>
            <s xml:id="echoid-s318" xml:space="preserve">Quoniam conoides hyperbolicum con-
              <lb/>
            ftatex differentia conoideorum, & </s>
            <s xml:id="echoid-s319" xml:space="preserve">ex conoide para-
              <lb/>
            bolico; </s>
            <s xml:id="echoid-s320" xml:space="preserve">& </s>
            <s xml:id="echoid-s321" xml:space="preserve">differentia conoideorum eſt æqualis dif-
              <lb/>
            ferentiæ conorum; </s>
            <s xml:id="echoid-s322" xml:space="preserve">ergo ratio cylindri Q C, ad co-
              <lb/>
            noides A B C, erit eadem cum ratione eiuſdem cy-
              <lb/>
            lindri ad differentiam conorum, & </s>
            <s xml:id="echoid-s323" xml:space="preserve">ad conoides pa-
              <lb/>
            rabolicum E B F. </s>
            <s xml:id="echoid-s324" xml:space="preserve">At ratio cylindri QC, ad dif-
              <lb/>
            ferentiam conorum eſt eadem cum ratione quadrati
              <lb/>
            A D, ad tertiam partem rectanguli A E C, vt con-
              <lb/>
            ſideranti patebit; </s>
            <s xml:id="echoid-s325" xml:space="preserve">quia cum ſit ad conum A B C, </s>
          </p>
        </div>
      </text>
    </echo>