Archimedes, Archimedis De insidentibvs aqvae

Table of contents

< >
[11.] Theorema v. Propoſitio v.
[12.] Theorema vj. Propoſitio vj.
[13.] Theorema vij. Propoſitio vij.
[14.] Suppoſitio ſecunda.
[15.] Theorema viij. Propoſitio viij.
[16.] AR CHIM EDIS DE INSIDENTIBVS AQV AE.
[17.] LIBER SECVNDVS. TROIANO CVRTIO VENETIIS, APVD TROIANVM CVRTIVM. M D L X V
[18.] FABRITIO DENORES FILIO IACOBI COMITIS TRIPOLIS CVRTIVS TROIANVS S. P. D.
[19.] INSIDENTIBVS AQV AE. LIB. II. PRIMVS.
[20.] SECVNDVS.
[21.] TERTIVS.
[22.] QVARTVS.
[23.] QVINTVS.
[24.] SEXTVS.
[25.] SEPTIMVS.
[26.] OCTAVVS.
[27.] NONVS.
[28.] DECIMVS.
[29.] Archimedis de inſidentibus in bumido li-ber ſecundus explicit, ad laudem Dei.
< >
page |< < of 51 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div25" type="section" level="1" n="19">
          <p style="it">
            <s xml:id="echoid-s251" xml:space="preserve">
              <pb file="0022" n="22" rhead="DE INS IDENTIBVS AQV AE"/>
              <figure xlink:label="fig-0022-01" xlink:href="fig-0022-01a" number="18">
                <image file="0022-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0022-01"/>
              </figure>
            midum quod ſecundum ipſa in grauitate ma
              <lb/>
            gnitudo a, ad f, a, factum eſt æquale demer-
              <lb/>
            ſæ magnitudinis, ſcilicet a, habet ergo magni
              <lb/>
            tudo f, a, in grauitate ad n, i, ita b, ad r, o.
              <lb/>
            </s>
            <s xml:id="echoid-s252" xml:space="preserve">Quam autem proportionem habet r, ad r, o,
              <lb/>
            hanc habet proportionem adr,
              <lb/>
            & </s>
            <s xml:id="echoid-s253" xml:space="preserve">a, ad f, a, _demonstratum_ eſt enim.</s>
            <s xml:id="echoid-s254" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div27" type="section" level="1" n="20">
          <head xml:id="echoid-head30" xml:space="preserve">SECVNDVS.</head>
          <p>
            <s xml:id="echoid-s255" xml:space="preserve">Recta portio rectanguli conoidalis quando axem habue-
              <lb/>
            rit maiorem, quàm emiolium eius, quæ uſque axem omnem
              <lb/>
            proportionem habens ad humidum in grauitate dimiſia in
              <lb/>
            humido ita, ut baſis ipſius non tangat humidum, poſita incli
              <lb/>
            nata non manet inclin ata, ſed reſtituetur recta.</s>
            <s xml:id="echoid-s256" xml:space="preserve"/>
          </p>
          <figure number="19">
            <image file="0022-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0022-02"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s257" xml:space="preserve">_R_Ectam dico conſiſtere talem portionem, quando quod ſecuit ip-
              <lb/>
            ſam fuerit æquidistanter ſuperficiei humidi. </s>
            <s xml:id="echoid-s258" xml:space="preserve">Sit portio rectanguli
              <lb/>
            conoidalis, qualis dicta est: </s>
            <s xml:id="echoid-s259" xml:space="preserve">& </s>
            <s xml:id="echoid-s260" xml:space="preserve">iaceat inclinata, demonstrandum
              <lb/>
            quòd non manet, ſed reſtituetur recta. </s>
            <s xml:id="echoid-s261" xml:space="preserve">Secta autem ipſa plano per axem
              <lb/>
            recte ad planum, quod in ſuperficie humidi portionis ſectio ſitq́ue apol.
              <lb/>
            </s>
            <s xml:id="echoid-s262" xml:space="preserve">rectanguli coni fectio, axis autem pertionis, & </s>
            <s xml:id="echoid-s263" xml:space="preserve">diameter ſestionis quæn,
              <lb/>
            o. </s>
            <s xml:id="echoid-s264" xml:space="preserve">Superficiei autem hnmidi, quàm K. </s>
            <s xml:id="echoid-s265" xml:space="preserve">Siigitur portio non eſt recta, non
              <lb/>
            ntique erit quæ a, l, æquidiſtans ipſi i, s, K. </s>
            <s xml:id="echoid-s266" xml:space="preserve">Quare non faciet angulum
              <lb/>
            rectum quæ n, o, ad i, s, ducatur ergo quæ K, ***, contingens ſectionem
              <lb/>
            coni penes, p.</s>
            <s xml:id="echoid-s267" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>