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 |< < (36) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div146" type="section" level="1" n="47">
          <p>
            <s xml:id="echoid-s2135" xml:space="preserve">
              <pb o="36" file="0083" n="83" rhead="DE IIS QVAE VEH. IN AQVA."/>
            ad unum.</s>
            <s xml:id="echoid-s2136" xml:space="preserve">] _Hoc nos proxime demonſtrauimus._</s>
            <s xml:id="echoid-s2137" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2138" xml:space="preserve">Demonſtratum eſt enim ſuperius portionem cuius axis
              <lb/>
              <note position="right" xlink:label="note-0083-01" xlink:href="note-0083-01a" xml:space="preserve">R</note>
            eſt maior, quàm ſeſquialter eius, quæ uſque ad axem, ſiad
              <lb/>
            humidum in grauitate non minorem proportionem ha-
              <lb/>
            beat &</s>
            <s xml:id="echoid-s2139" xml:space="preserve">c.</s>
            <s xml:id="echoid-s2140" xml:space="preserve">] _Illud uero demonſtrauit in quarta propoſitione buius_
              <lb/>
            _libri_.</s>
            <s xml:id="echoid-s2141" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div152" type="section" level="1" n="48">
          <head xml:id="echoid-head53" xml:space="preserve">II.</head>
          <p>
            <s xml:id="echoid-s2142" xml:space="preserve">Si portio ad humidum in grauitate minorem
              <lb/>
              <note position="right" xlink:label="note-0083-02" xlink:href="note-0083-02a" xml:space="preserve">A</note>
            quidem proportionem habeat, quàm quadra-
              <lb/>
            tum ſ b ad quadratum b d; </s>
            <s xml:id="echoid-s2143" xml:space="preserve">maiorem uero,
              <lb/>
            quàm quadratum x o ad quadratum b d; </s>
            <s xml:id="echoid-s2144" xml:space="preserve">de-
              <lb/>
            miſſa in humidum, adeo inclinata, ut baſis ip-
              <lb/>
            ſius non contingat humidum, inclinata conſi-
              <lb/>
            ſtet; </s>
            <s xml:id="echoid-s2145" xml:space="preserve">ita ut baſis ſuperficiem humidi nullo modo
              <lb/>
            contingat; </s>
            <s xml:id="echoid-s2146" xml:space="preserve">& </s>
            <s xml:id="echoid-s2147" xml:space="preserve">axis cum humidi ſuperficie angu-
              <lb/>
            lum faciat maiorem angulo χ.</s>
            <s xml:id="echoid-s2148" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div154" type="section" level="1" n="49">
          <head xml:id="echoid-head54" xml:space="preserve">III.</head>
          <p>
            <s xml:id="echoid-s2149" xml:space="preserve">Si portio ad humidum in grauitate, eam ha-
              <lb/>
            beat proportionem, quam quadratum x o ad
              <lb/>
            quadratum b d; </s>
            <s xml:id="echoid-s2150" xml:space="preserve">demiſſa in humidum inclinata
              <lb/>
            adeo, ut baſis ipſius non contingat humidum;
              <lb/>
            </s>
            <s xml:id="echoid-s2151" xml:space="preserve">conſiſtet, & </s>
            <s xml:id="echoid-s2152" xml:space="preserve">manebit ita, ut baſis in uno pun-
              <lb/>
            cto humidi ſuperficiem contingat: </s>
            <s xml:id="echoid-s2153" xml:space="preserve">& </s>
            <s xml:id="echoid-s2154" xml:space="preserve">axis cum
              <lb/>
            ſuperficie humidi angulũ faciat angulo χ æqualẽ. </s>
            <s xml:id="echoid-s2155" xml:space="preserve">
              <lb/>
            Quòd ſi portio ad humidum in grauitate cam
              <lb/>
            proportionem habeat, quam quadratum p f </s>
          </p>
        </div>
      </text>
    </echo>