Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of handwritten notes

< >
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div268" type="section" level="1" n="91">
          <p>
            <s xml:id="echoid-s4670" xml:space="preserve">
              <pb file="0186" n="186" rhead="FED. COMMANDINI"/>
            fruſtum pyramidis ſit abſciſſum. </s>
            <s xml:id="echoid-s4671" xml:space="preserve">erit ex iis quæ proxime
              <lb/>
            tradidimus, fruſti pyramidis a d centrum grauitatis l. </s>
            <s xml:id="echoid-s4672" xml:space="preserve">Quo
              <lb/>
            niam igitur portiones ſpacio o minores ſunt; </s>
            <s xml:id="echoid-s4673" xml:space="preserve">habebit cir
              <lb/>
            culus, uel ellipſis a b ad
              <lb/>
              <figure xlink:label="fig-0186-01" xlink:href="fig-0186-01a" number="137">
                <image file="0186-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0186-01"/>
              </figure>
            portiones dictas maiorẽ
              <lb/>
            proportionem, quàm n l
              <lb/>
            ad lm. </s>
            <s xml:id="echoid-s4674" xml:space="preserve">ſed ut circulus, uel
              <lb/>
            ellipſis a b ad portiones,
              <lb/>
            ita a p b conus, uel coni
              <lb/>
            portio ad ſolidas portio-
              <lb/>
            nes, id quod ſupra demon
              <lb/>
            ſtratum eſt: </s>
            <s xml:id="echoid-s4675" xml:space="preserve">& </s>
            <s xml:id="echoid-s4676" xml:space="preserve">ut circulus
              <lb/>
            uel ellipſis c d ad portio-
              <lb/>
              <note position="left" xlink:label="note-0186-01" xlink:href="note-0186-01a" xml:space="preserve">22. huius</note>
            nes, quæ ipſi inſunt, ita co
              <lb/>
            nus, uel coni portio c p d
              <lb/>
            ad ſolidas ipſius portio-
              <lb/>
            nes. </s>
            <s xml:id="echoid-s4677" xml:space="preserve">Quòd cum figuræ in
              <lb/>
            circulis, uel ellipſibus a b
              <lb/>
            c d deſcriptæ ſimiles ſint,
              <lb/>
            erit proportio circuli, uel
              <lb/>
            ellipſis a b ad ſuas portio
              <lb/>
            nes, eadẽ, quæ circuli uel
              <lb/>
            ellipſis c d ad ſuas. </s>
            <s xml:id="echoid-s4678" xml:space="preserve">ergo
              <lb/>
            conus, uel coni portio a p
              <lb/>
            b ad portiones ſolidas eã-
              <lb/>
            dem habet proportionẽ,
              <lb/>
            quam conus, uel coni por
              <lb/>
            tio c p d ad ſolidas ipſius
              <lb/>
            portiones. </s>
            <s xml:id="echoid-s4679" xml:space="preserve">reliquum igi-
              <lb/>
              <note position="left" xlink:label="note-0186-02" xlink:href="note-0186-02a" xml:space="preserve">19. quinti</note>
            tur coni, uel coni portionis fruſtũ, ſcilicet a d ad reliquas
              <lb/>
            portiones ſolidas in ipſo contentas eandem proportionẽ
              <lb/>
            habet, quam conus, uel coni portio a p b ad ſolidas portio
              <lb/>
            nes: </s>
            <s xml:id="echoid-s4680" xml:space="preserve">hoc eſt eandem, quam circulus, uel ellipſis a b ad por
              <lb/>
            tiones planas. </s>
            <s xml:id="echoid-s4681" xml:space="preserve">quare fruſtum coni, uel coni portionis a </s>
          </p>
        </div>
      </text>
    </echo>
Impressum