Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
41 15
42
43 16
44
45 17
46
47 18
48
49 19
50
51 20
52
53 21
54
55 22
56
57 23
58
59 24
60
61 25
62
63 26
64
65 27
66
67 22
68
69 29
70
< >
page |< < (20) 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-s3799" xml:space="preserve">
              <pb o="20" file="0151" n="151" rhead="DE CENTRO GRAVIT. SOLID."/>
            beat eam, quam χ τ ad τ f. </s>
            <s xml:id="echoid-s3800" xml:space="preserve">erit diuidendo ut χ f ad f τ, ita fi
              <lb/>
            gura ſolida inſcripta ad partem exceſſus, quæ eſtintra pyra
              <lb/>
            midem. </s>
            <s xml:id="echoid-s3801" xml:space="preserve">Cum ergo à pyramide, cuius grauitatis cẽtrum eſt
              <lb/>
            punctum f, ſolida figura inſcripta auferatur, cuius centrũ
              <lb/>
            τ: </s>
            <s xml:id="echoid-s3802" xml:space="preserve">reliquæ magnitudinis conſtantis ex parte exceſſus, quæ
              <lb/>
            eſtintra pyramidem, centrum grauitatis erit in linea τ f
              <lb/>
            producta, & </s>
            <s xml:id="echoid-s3803" xml:space="preserve">in puncto χ. </s>
            <s xml:id="echoid-s3804" xml:space="preserve">quod fieri non poteſt. </s>
            <s xml:id="echoid-s3805" xml:space="preserve">Sequitur
              <lb/>
            igitur, ut centrum grauitatis pyramidis in linea d e; </s>
            <s xml:id="echoid-s3806" xml:space="preserve">hoc
              <lb/>
            eſt in eius axe conſiſtat.</s>
            <s xml:id="echoid-s3807" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3808" xml:space="preserve">Sit conus, uel coni portio, cuius axis b d: </s>
            <s xml:id="echoid-s3809" xml:space="preserve">& </s>
            <s xml:id="echoid-s3810" xml:space="preserve">ſecetur plano
              <lb/>
            per axem, ut ſectio ſit triangulum a b c. </s>
            <s xml:id="echoid-s3811" xml:space="preserve">Dico centrum gra
              <lb/>
            uitatis ipſius eſſe in linea b d. </s>
            <s xml:id="echoid-s3812" xml:space="preserve">Sit enim, ſi fieri poteſt, centrũ
              <lb/>
              <figure xlink:label="fig-0151-01" xlink:href="fig-0151-01a" number="104">
                <image file="0151-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0151-01"/>
              </figure>
            e: </s>
            <s xml:id="echoid-s3813" xml:space="preserve">perq; </s>
            <s xml:id="echoid-s3814" xml:space="preserve">e ducatur e f axi æquidiſtans: </s>
            <s xml:id="echoid-s3815" xml:space="preserve">& </s>
            <s xml:id="echoid-s3816" xml:space="preserve">quam propor-
              <lb/>
            tionem habet c d ad d f, habeat conus, uel coni portio ad
              <lb/>
            ſolidum g. </s>
            <s xml:id="echoid-s3817" xml:space="preserve">inſcribatur ergo in cono, uel coni portione </s>
          </p>
        </div>
      </text>
    </echo>
Impressum