Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
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
71 30
72
73 37
74
75 32
76
77 25
78
79 34
80
< >
page |< < (15) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div216" type="section" level="1" n="73">
          <p>
            <s xml:id="echoid-s3584" xml:space="preserve">
              <pb o="15" file="0141" n="141" rhead="DE CENTRO GRAVIT. SOLID."/>
            bere proportionem, quam ſpacium g h ad dictã
              <lb/>
            figuram, hoc modo demonſtrabimus.</s>
            <s xml:id="echoid-s3585" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3586" xml:space="preserve">Intelligatur circulus, uel ellipſis x æqualis figuræ rectili-
              <lb/>
            neæ in g h ſpacio deſcriptæ: </s>
            <s xml:id="echoid-s3587" xml:space="preserve">& </s>
            <s xml:id="echoid-s3588" xml:space="preserve">ab x conſtituatur conus, uel
              <lb/>
              <figure xlink:label="fig-0141-01" xlink:href="fig-0141-01a" number="95">
                <image file="0141-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0141-01"/>
              </figure>
            coni portio, altitudinẽ habens eandẽ, quã cylindrus uel cy
              <lb/>
            lindri portio c e. </s>
            <s xml:id="echoid-s3589" xml:space="preserve">Sit deinde rectilinea figura, in quay eade,
              <lb/>
            quæ in ſpacio g h deſcripta eſt: </s>
            <s xml:id="echoid-s3590" xml:space="preserve">& </s>
            <s xml:id="echoid-s3591" xml:space="preserve">ab hac pyramis æquealta
              <lb/>
            conſtituatur. </s>
            <s xml:id="echoid-s3592" xml:space="preserve">Dico conũ uel coni portionẽ x pyramidiy æ-
              <lb/>
            qualẽ eſſe. </s>
            <s xml:id="echoid-s3593" xml:space="preserve">niſi enim ſit æqualis, uel maior, uel minor erit.</s>
            <s xml:id="echoid-s3594" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3595" xml:space="preserve">Sit primum maior, et exuperet ſolido z. </s>
            <s xml:id="echoid-s3596" xml:space="preserve">Itaque in circu
              <lb/>
            lo, uel ellipſi x deſcribatur figura rectilinea; </s>
            <s xml:id="echoid-s3597" xml:space="preserve">& </s>
            <s xml:id="echoid-s3598" xml:space="preserve">in ea pyra-
              <lb/>
            mis eandem, quam conus, uel coni portio altitudinem ha-
              <lb/>
            bens, ita ut portiones relictæ minores ſint ſolido z, quem-
              <lb/>
            admodum docetur in duodecimo libro elementorum pro
              <lb/>
            poſitione undecima. </s>
            <s xml:id="echoid-s3599" xml:space="preserve">erit pyramis x adhuc pyramide y ma
              <lb/>
            ior. </s>
            <s xml:id="echoid-s3600" xml:space="preserve">& </s>
            <s xml:id="echoid-s3601" xml:space="preserve">quoniam piramides æque altæ inter ſe ſunt, ſicuti ba
              <lb/>
              <note position="right" xlink:label="note-0141-01" xlink:href="note-0141-01a" xml:space="preserve">6. duode-
                <lb/>
              cimi.</note>
            ſes; </s>
            <s xml:id="echoid-s3602" xml:space="preserve">pyramis x ad piramidem y eandem proportionem ha-
              <lb/>
            bet, quàm figura rectilinea x ad figuram y. </s>
            <s xml:id="echoid-s3603" xml:space="preserve">Sed ſigura </s>
          </p>
        </div>
      </text>
    </echo>
Impressum