Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div231" type="section" level="1" n="79">
          <p>
            <s xml:id="echoid-s3788" xml:space="preserve">
              <pb file="0150" n="150" rhead="FED. COMMANDINI"/>
            tius figuræ inſcriptæ centrum grauitatis eſt in linea r e:
              <lb/>
            </s>
            <s xml:id="echoid-s3789" xml:space="preserve">quod ſit τ: </s>
            <s xml:id="echoid-s3790" xml:space="preserve">iũ-
              <lb/>
              <figure xlink:label="fig-0150-01" xlink:href="fig-0150-01a" number="103">
                <image file="0150-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0150-01"/>
              </figure>
            ctaque τ f, & </s>
            <s xml:id="echoid-s3791" xml:space="preserve">
              <lb/>
            producta, à
              <lb/>
            puncto h du-
              <lb/>
            catur linea a-
              <lb/>
            xi pyramidis
              <lb/>
            æquidiſtans,
              <lb/>
            quæ cũ linea
              <lb/>
            τ f conueniat
              <lb/>
            in φ. </s>
            <s xml:id="echoid-s3792" xml:space="preserve">habebit
              <lb/>
            φ τ ad τ f ean-
              <lb/>
            dem propor-
              <lb/>
            tionem, quã
              <lb/>
            h e ad e g.
              <lb/>
            </s>
            <s xml:id="echoid-s3793" xml:space="preserve">Quoniam igi
              <lb/>
            tur exceſſus,
              <lb/>
            quo circũſcri
              <lb/>
            pta figura in-
              <lb/>
            ſcriptam ſupe
              <lb/>
            rat, minor eſt
              <lb/>
            ſolido
              <emph style="sc">K</emph>
            ; </s>
            <s xml:id="echoid-s3794" xml:space="preserve">py-
              <lb/>
            ramis ad eun-
              <lb/>
            dẽ exceſsũ ma
              <lb/>
            ioré propor-
              <lb/>
            tionȩ habet,
              <lb/>
            quàm ad _K_ ſo
              <lb/>
            lidum: </s>
            <s xml:id="echoid-s3795" xml:space="preserve">uideli
              <lb/>
            cet maiorem,
              <lb/>
            quàm linea h
              <lb/>
            e ad e g; </s>
            <s xml:id="echoid-s3796" xml:space="preserve">hoc
              <lb/>
            eſt quam φ τ
              <lb/>
            ad τ f: </s>
            <s xml:id="echoid-s3797" xml:space="preserve">& </s>
            <s xml:id="echoid-s3798" xml:space="preserve">propterea multo maiorem habet ad partem ex-
              <lb/>
            ceſſus, quæ intra pyramidem comprehenditur. </s>
            <s xml:id="echoid-s3799" xml:space="preserve">Itaque </s>
          </p>
        </div>
      </text>
    </echo>