Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[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.
[71.] THEOREMA VI. PROPOSITIO VI.
[72.] THE OREMA VII. PROPOSITIO VII.
[73.] THE OREMA VIII. PROPOSITIO VIII.
[74.] THE OREMA IX. PROPOSITIO IX.
[75.] PROBLEMA I. PROPOSITIO X.
[76.] PROBLEMA II. PROPOSITIO XI.
[77.] PROBLEMA III. PROPOSITIO XII.
[78.] PROBLEMA IIII. PROPOSITIO XIII.
[79.] THEOREMA X. PROPOSITIO XIIII.
[80.] THE OREMA XI. PROPOSITIO XV.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
< >
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>