Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
101 43
102
103
104
105
106
107
108
109
110
111
112
113 1
114
115 2
116
117 3
118
119 4
120
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div263" type="section" level="1" n="90">
          <p>
            <s xml:id="echoid-s4436" xml:space="preserve">
              <pb file="0178" n="178" rhead="FED. COMMANDINI"/>
            producantur. </s>
            <s xml:id="echoid-s4437" xml:space="preserve">Quoniam igitur pyramis ſecatur planis bafi
              <lb/>
            æquidiſtantibus, ſectiones ſimiles erunt: </s>
            <s xml:id="echoid-s4438" xml:space="preserve">atque erunt qua-
              <lb/>
              <note position="left" xlink:label="note-0178-01" xlink:href="note-0178-01a" xml:space="preserve">9. huius</note>
            drata, uel rectangula circa circulos, uel ellipſes deſcripta,
              <lb/>
            quemadmodum & </s>
            <s xml:id="echoid-s4439" xml:space="preserve">in ipſa baſi. </s>
            <s xml:id="echoid-s4440" xml:space="preserve">Sed cum circuli inter ſe eã
              <lb/>
            proportionem habeant, quam diametrorum quadrata:
              <lb/>
            </s>
            <s xml:id="echoid-s4441" xml:space="preserve">
              <note position="left" xlink:label="note-0178-02" xlink:href="note-0178-02a" xml:space="preserve">2. duode-
                <lb/>
              cimi.</note>
            itemq; </s>
            <s xml:id="echoid-s4442" xml:space="preserve">ellipſes eam quam rectangula ex ipſarum diametris
              <lb/>
            conſtantia: </s>
            <s xml:id="echoid-s4443" xml:space="preserve">& </s>
            <s xml:id="echoid-s4444" xml:space="preserve">ſit circulus, uel ellipſis circa diametrum e f
              <lb/>
              <figure xlink:label="fig-0178-01" xlink:href="fig-0178-01a" number="133">
                <image file="0178-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0178-01"/>
              </figure>
              <note position="left" xlink:label="note-0178-03" xlink:href="note-0178-03a" xml:space="preserve">7. de co-
                <lb/>
              noidibus
                <lb/>
              & ſphæ-
                <lb/>
              roidibus</note>
            proportionalis inter circulos, uel ellipſes a b, c d; </s>
            <s xml:id="echoid-s4445" xml:space="preserve">erit re-
              <lb/>
            ctangulum e f etiam inter rectangula a b, c d proportio-
              <lb/>
            nale: </s>
            <s xml:id="echoid-s4446" xml:space="preserve">per rectangulum enim nunc breuitatis cauſa etiã ip-
              <lb/>
            ſum quadratum intelligemus. </s>
            <s xml:id="echoid-s4447" xml:space="preserve">quare ex iis, quæ proxime
              <lb/>
            dicta ſunt, pyramis baſim habens æqualem dictis rectangu
              <lb/>
            lis, & </s>
            <s xml:id="echoid-s4448" xml:space="preserve">altitudinem eandem, quam fruſtum a d, ipſi fruſto à
              <lb/>
            pyramide abſciſſo æqualis probabitur. </s>
            <s xml:id="echoid-s4449" xml:space="preserve">ut autem rectangu
              <lb/>
            lum c d ad rectangulũ e f, ita circulus, uel ellipſis c d a d e f
              <lb/>
            circulum, uel ellipſim: </s>
            <s xml:id="echoid-s4450" xml:space="preserve">componendoq; </s>
            <s xml:id="echoid-s4451" xml:space="preserve">ut rectangula c d,
              <lb/>
            e f, ad e f rectangulum, ita circuli, uel ellipſes e d, e f, ad e f:
              <lb/>
            </s>
            <s xml:id="echoid-s4452" xml:space="preserve">& </s>
            <s xml:id="echoid-s4453" xml:space="preserve">ut rectangulum e f ad rectangulum a b, ita cir culus, uel
              <lb/>
            cllipſis e f ad a b circulum, uel ellipſim. </s>
            <s xml:id="echoid-s4454" xml:space="preserve">ergo ex æquali, & </s>
            <s xml:id="echoid-s4455" xml:space="preserve">
              <lb/>
            componendo, utrectãgula c d, e f, a b ad ipſum a b, ita </s>
          </p>
        </div>
      </text>
    </echo>