Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
71 30
72
73 37
74
75 32
76
77 25
78
79 34
80
81 35
82
83 36
84
85 37
86
87 38
88
89 39
90
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div206" type="section" level="1" n="68">
          <p>
            <s xml:id="echoid-s3149" xml:space="preserve">
              <pb file="0124" n="124" rhead="FED. COMMANDINI"/>
            in linea e b punctũ g, it aut ſit g e æqualis e f. </s>
            <s xml:id="echoid-s3150" xml:space="preserve">erit g por-
              <lb/>
            tionis a b c centrum. </s>
            <s xml:id="echoid-s3151" xml:space="preserve">nam ſi hæ portiones, quæ æquales
              <lb/>
            & </s>
            <s xml:id="echoid-s3152" xml:space="preserve">ſimiles ſunt, inter ſe ſe aptentur, ita ut b e cadat in d e,
              <lb/>
            & </s>
            <s xml:id="echoid-s3153" xml:space="preserve">punctum b in d cadet, & </s>
            <s xml:id="echoid-s3154" xml:space="preserve">g in f: </s>
            <s xml:id="echoid-s3155" xml:space="preserve">figuris autem æquali-
              <lb/>
            bus, & </s>
            <s xml:id="echoid-s3156" xml:space="preserve">ſimilibus inter ſe aptatis, centra quoque grauitatis
              <lb/>
            ipſarum inter ſe aptata erunt, ex quinta petitione Archi-
              <lb/>
            medis in libro de centro grauitatis planorum. </s>
            <s xml:id="echoid-s3157" xml:space="preserve">Quare cum
              <lb/>
            portionis a d c centrum grauitatis ſit ſ: </s>
            <s xml:id="echoid-s3158" xml:space="preserve">& </s>
            <s xml:id="echoid-s3159" xml:space="preserve">portionis
              <lb/>
            a b c centrum g: </s>
            <s xml:id="echoid-s3160" xml:space="preserve">magnitudinis; </s>
            <s xml:id="echoid-s3161" xml:space="preserve">quæ ex utriſque efficitur:
              <lb/>
            </s>
            <s xml:id="echoid-s3162" xml:space="preserve">hoc eſt circuli uel ellipſis grauitatis centrum in medio li-
              <lb/>
            neæ f g, quod eſt e, conſiſtet, ex quarta propoſitione eiuſ-
              <lb/>
            dem libri Archimedis. </s>
            <s xml:id="echoid-s3163" xml:space="preserve">ergo circuli, uel ellipſis centrum
              <lb/>
            grauitatis eſt idem, quod figuræ centrum. </s>
            <s xml:id="echoid-s3164" xml:space="preserve">atque illud eſt,
              <lb/>
            quod demonſtrare oportebat.</s>
            <s xml:id="echoid-s3165" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3166" xml:space="preserve">Ex quibus ſequitur portionis circuli, uel ellip-
              <lb/>
            ſis, quæ dimidia maior ſit, centrum grauitatis in
              <lb/>
            diametro quoque ipſius conſiſtere.</s>
            <s xml:id="echoid-s3167" xml:space="preserve"/>
          </p>
          <figure number="81">
            <image file="0124-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0124-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s3168" xml:space="preserve">Sit enim maior portio a b c, cu_i_us diameter b d, & </s>
            <s xml:id="echoid-s3169" xml:space="preserve">com-
              <lb/>
            pleatur circulus, uel ellipſis, ut portio reliqua ſit a e c, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum