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 > >|
FED. COMMANDINI
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="90">
          <p>
            <s xml:space="preserve">
              <pb file="0178" n="178" rhead="FED. COMMANDINI"/>
            producantur. </s>
            <s xml:space="preserve">Quoniam igitur pyramis ſecatur planis bafi
              <lb/>
            æquidiſtantibus, ſectiones ſimiles erunt: </s>
            <s xml:space="preserve">atque erunt qua-
              <lb/>
              <anchor type="note" xlink:label="note-0178-01a" xlink:href="note-0178-01"/>
            drata, uel rectangula circa circulos, uel ellipſes deſcripta,
              <lb/>
            quemadmodum & </s>
            <s xml:space="preserve">in ipſa baſi. </s>
            <s xml:space="preserve">Sed cum circuli inter ſe eã
              <lb/>
            proportionem habeant, quam diametrorum quadrata:
              <lb/>
            </s>
            <s xml:space="preserve">
              <anchor type="note" xlink:label="note-0178-02a" xlink:href="note-0178-02"/>
            itemq; </s>
            <s xml:space="preserve">ellipſes eam quam rectangula ex ipſarum diametris
              <lb/>
            conſtantia: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit circulus, uel ellipſis circa diametrum e f
              <lb/>
              <anchor type="figure" xlink:label="fig-0178-01a" xlink:href="fig-0178-01"/>
              <anchor type="note" xlink:label="note-0178-03a" xlink:href="note-0178-03"/>
            proportionalis inter circulos, uel ellipſes a b, c d; </s>
            <s xml:space="preserve">erit re-
              <lb/>
            ctangulum e f etiam inter rectangula a b, c d proportio-
              <lb/>
            nale: </s>
            <s xml:space="preserve">per rectangulum enim nunc breuitatis cauſa etiã ip-
              <lb/>
            ſum quadratum intelligemus. </s>
            <s xml:space="preserve">quare ex iis, quæ proxime
              <lb/>
            dicta ſunt, pyramis baſim habens æqualem dictis rectangu
              <lb/>
            lis, & </s>
            <s xml:space="preserve">altitudinem eandem, quam fruſtum a d, ipſi fruſto à
              <lb/>
            pyramide abſciſſo æqualis probabitur. </s>
            <s 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:space="preserve">componendoq; </s>
            <s 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:space="preserve">& </s>
            <s 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:space="preserve">ergo ex æquali, & </s>
            <s xml:space="preserve">
              <lb/>
            componendo, utrectãgula c d, e f, a b ad ipſum a b, ita cir-</s>
          </p>
        </div>
      </text>
    </echo>