Clavius, Christoph, Geometria practica

List of thumbnails

< >
341
341 (311) 		342
342 (312)
343
343 (313) 		344
344 (314)
345
345 (315) 		346
346 (316)
347
347 (317) 		348
348 (318)
349
349 (319) 		350
350 (320)
< >
page |< < (311) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div889" type="section" level="1" n="310">
          <p>
            <s xml:id="echoid-s14596" xml:space="preserve">
              <pb o="311" file="341" n="341" rhead="LIBER SEPTIMVS."/>
            Quamobrẽ rectangulũ ſolidũ contentũſub ſemidia-
              <lb/>
              <note symbol="a" position="right" xlink:label="note-341-01" xlink:href="note-341-01a" xml:space="preserve">16. hui{us}.</note>
            metro A B, & </s>
            <s xml:id="echoid-s14597" xml:space="preserve">tetria parte ambitus ſphęræ A,
              <figure xlink:label="fig-341-01" xlink:href="fig-341-01a" number="232">
                <image file="341-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/341-01"/>
              </figure>
            ſphęræ A, ęquale eſt, maius erit, quàm rectangulum
              <lb/>
            ſolidum contentum ſub perpendiculari CD, & </s>
            <s xml:id="echoid-s14598" xml:space="preserve">tertia
              <lb/>
              <note symbol="b" position="right" xlink:label="note-341-02" xlink:href="note-341-02a" xml:space="preserve">15. hui{us}.</note>
            parte ambitus corporis C, hoc eſt, quam corpus C.</s>
            <s xml:id="echoid-s14599" xml:space="preserve"> Sphęra igitur omnibus corporibus ſibi Iſoperime-
              <lb/>
            tris, quę planis ſuperficiebus contineantur, &</s>
            <s xml:id="echoid-s14600" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14601" xml:space="preserve">ma-
              <lb/>
            ior eſt. </s>
            <s xml:id="echoid-s14602" xml:space="preserve">quod erat demonſtrandum.</s>
            <s xml:id="echoid-s14603" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Sphæra ma-
            <lb/>
          ior eſt quouis
            <lb/>
          corpore regu-
            <lb/>
          lari ſibi Iſope-
            <lb/>
          rimetro.</note>
        </div>
        <div xml:id="echoid-div891" type="section" level="1" n="311">
          <head xml:id="echoid-head338" xml:space="preserve">COROLLARIVM.</head>
          <p>
            <s xml:id="echoid-s14604" xml:space="preserve">
              <emph style="sc">Constat</emph>
            hinc, ſphęram maiorem eſſe quoli-
              <lb/>
              <figure xlink:label="fig-341-02" xlink:href="fig-341-02a" number="233">
                <image file="341-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/341-02"/>
              </figure>
            bet corpore regulariſibi Iſoperimetro: </s>
            <s xml:id="echoid-s14605" xml:space="preserve">quip pe cum
              <lb/>
            omnes perpendiculares è centro ad baſes corporis
              <lb/>
            regularis inter ſe ęquales ſint; </s>
            <s xml:id="echoid-s14606" xml:space="preserve">propterea quod ęqua-
              <lb/>
              <note symbol="c" position="right" xlink:label="note-341-04" xlink:href="note-341-04a" xml:space="preserve">21. quinti-
                <lb/>
              dec.</note>
            les ſunt ſemidiametro ſphęrę, quæintra corpus ſcribipoteſt.</s>
            <s xml:id="echoid-s14607" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div893" type="section" level="1" n="312">
          <head xml:id="echoid-head339" xml:space="preserve">THEOR. 16. PROPOS. 18.</head>
          <note position="right" xml:space="preserve">Sphæramaior
            <lb/>
          eſt omnib{us}
            <lb/>
          corporib{us} ſi-
            <lb/>
          bi Iſoperime-
            <lb/>
          tris, & circa
            <lb/>
          ali{as} ſphær{as}
            <lb/>
          circumſcripti
            <lb/>
          bilib
            <emph style="sub">9</emph>
          , quæ co-
            <lb/>
          nicis ſuperfi-
            <lb/>
          cieb{us} conti-
            <lb/>
          nentur.</note>
          <p>
            <s xml:id="echoid-s14608" xml:space="preserve">SPHÆRA omnibus corporibus ſibi Iſoperimetris, & </s>
            <s xml:id="echoid-s14609" xml:space="preserve">circa alias ſphę-
              <lb/>
            ras circumſcriptibilibus, quæ ſuperficiebus conicis contineantur, ita
              <lb/>
            vt latera omnia conica ſint æqualia, maior eſt.</s>
            <s xml:id="echoid-s14610" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14611" xml:space="preserve">
              <emph style="sc">Esto</emph>
            circulus A B C D, cui circumſcribatur figura regularis E F G-
              <lb/>
            HIKLM, ita vt numerus laterum à quaternario menſuretur, cuiuſmodi
              <lb/>
            eſt quadratum, figura 8. </s>
            <s xml:id="echoid-s14612" xml:space="preserve">12. </s>
            <s xml:id="echoid-s14613" xml:space="preserve">16. </s>
            <s xml:id="echoid-s14614" xml:space="preserve">20. </s>
            <s xml:id="echoid-s14615" xml:space="preserve">24. </s>
            <s xml:id="echoid-s14616" xml:space="preserve">vel 28. </s>
            <s xml:id="echoid-s14617" xml:space="preserve">laterum, angulorumque
              <lb/>
              <figure xlink:label="fig-341-03" xlink:href="fig-341-03a" number="234">
                <image file="341-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/341-03"/>
              </figure>
            æqualium, &</s>
            <s xml:id="echoid-s14618" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14619" xml:space="preserve">Ducaturque ex angulo E, per centrum ad angulum I, recta
              <lb/>
            EI. </s>
            <s xml:id="echoid-s14620" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s14621" xml:space="preserve">ſi circa manentem rectam EI, immobilem circumagatur planũ, in quo
              <lb/>
            eſt circulus ABCD, & </s>
            <s xml:id="echoid-s14622" xml:space="preserve">figura EFGHIKLM, deſcribet circul
              <emph style="sub">9</emph>
            ſphærã, figura </s>
          </p>
        </div>
      </text>
    </echo>
Impressum