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

List of thumbnails

< >
171
171 (159) 		172
172 (160)
173
173 (161) 		174
174 (162)
175
175 (163) 		176
176 (164)
177
177 (165) 		178
178 (166)
179
179 (167) 		180
180 (168)
< >
page |< < (164) of 232 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div146" type="section" level="1" n="94">
          <p>
            <s xml:id="echoid-s3013" xml:space="preserve">
              <pb o="164" file="0176" n="176"/>
            terminatamad E, vt 5, ad 3. </s>
            <s xml:id="echoid-s3014" xml:space="preserve">Patet etiam ex dict is
              <lb/>
            in varijs propoſitionibuslib. </s>
            <s xml:id="echoid-s3015" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3016" xml:space="preserve">qualiter poſſimus ha-
              <lb/>
            bere centrum grauitatis variorum ſegmentorum di-
              <lb/>
            cti exceſſus, ſicuti habemus centrum æquilibrij in
              <lb/>
            baſi A C, variorum ſegmentorum parabolæ.</s>
            <s xml:id="echoid-s3017" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3018" xml:space="preserve">Sed duo etiam adnotentur. </s>
            <s xml:id="echoid-s3019" xml:space="preserve">Primumeſt, magni-
              <lb/>
            tudinibus inſchol. </s>
            <s xml:id="echoid-s3020" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3021" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s3022" xml:space="preserve">26. </s>
            <s xml:id="echoid-s3023" xml:space="preserve">oſtenſis proportio-
              <lb/>
            naliter analogis, aſſociarietiam exceſſum prædictum
              <lb/>
            ſupra conum. </s>
            <s xml:id="echoid-s3024" xml:space="preserve">Alterumeſt, quod quæ dicta ſunt de
              <lb/>
            exceſſu portionis ſphæræ ſupra ſuumconum, intelli-
              <lb/>
            genda etiam ſunt de exceſſu portionis ſphæroidis
              <lb/>
            ſupra ſuum conum. </s>
            <s xml:id="echoid-s3025" xml:space="preserve">Quia in lib. </s>
            <s xml:id="echoid-s3026" xml:space="preserve">4. </s>
            <s xml:id="echoid-s3027" xml:space="preserve">de infinit. </s>
            <s xml:id="echoid-s3028" xml:space="preserve">para-
              <lb/>
            bolis, probata eſt perpetua analogia reperta inter
              <lb/>
            proportionales partes ſphæræ, & </s>
            <s xml:id="echoid-s3029" xml:space="preserve">ſphæroidis.</s>
            <s xml:id="echoid-s3030" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div148" type="section" level="1" n="95">
          <head xml:id="echoid-head107" xml:space="preserve">PROPOSITIO XLVI.</head>
          <p style="it">
            <s xml:id="echoid-s3031" xml:space="preserve">Si in quolibet conoide hyperbolico, & </s>
            <s xml:id="echoid-s3032" xml:space="preserve">parabolico quadra-
              <lb/>
            tico; </s>
            <s xml:id="echoid-s3033" xml:space="preserve">item in qualibet ſphœiœ, vel ſphœroidis portione
              <lb/>
            inſcribatur conus. </s>
            <s xml:id="echoid-s3034" xml:space="preserve">Centrum grauitatis exceſſus prœdi-
              <lb/>
            ctorum ſolidorum ſupra ſuos conos erit in medio puncto
              <lb/>
            diametri ipſorum.</s>
            <s xml:id="echoid-s3035" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3036" xml:space="preserve">SIt conoides parabolicum quadraticum, vt in
              <lb/>
            prima figura in ſchem. </s>
            <s xml:id="echoid-s3037" xml:space="preserve">ſequent. </s>
            <s xml:id="echoid-s3038" xml:space="preserve">B A C, vel
              <lb/>
            hyperbolicum vt in ſecunda; </s>
            <s xml:id="echoid-s3039" xml:space="preserve">vel quælibet portio
              <lb/>
            ſphæræ, vel ſphæroidis vt in tertia, & </s>
            <s xml:id="echoid-s3040" xml:space="preserve">in iſtis ſolidis
              <lb/>
            intelligantur inſcripti coni B A C. </s>
            <s xml:id="echoid-s3041" xml:space="preserve">Dico centrum
              <lb/>
            grauitatis exceſſuum prædictorum ſolidorum </s>
          </p>
        </div>
      </text>
    </echo>
Impressum