Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of Notes

< >
[Note]
Page: 46
[Note]
Page: 46
[Note]
Page: 47
[Note]
Page: 48
[Note]
Page: 48
[Note]
Page: 59
[Note]
Page: 60
[Note]
Page: 69
[Note]
Page: 70
[Note]
Page: 71
[Note]
Page: 71
[Note]
Page: 71
[Note]
Page: 72
[Note]
Page: 72
[Note]
Page: 73
[Note]
Page: 73
[Note]
Page: 74
[Note]
Page: 74
[Note]
Page: 74
[Note]
Page: 75
[Note]
Page: 76
[Note]
Page: 76
[Note]
Page: 77
[Note]
Page: 78
[Note]
Page: 82
[Note]
Page: 82
[Note]
Page: 84
[Note]
Page: 85
[Note]
Page: 86
[Note]
Page: 87
< >
page |< < of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div53" type="section" level="1" n="23">
          <pb file="0065" n="69"/>
          <figure number="31">
            <image file="0065-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0065-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div54" type="section" level="1" n="24">
          <head xml:id="echoid-head43" xml:space="preserve">CHRISTIANI HUGENII,
            <lb/>
            <emph style="sc">Const. f</emph>
          .
            <lb/>
            <emph style="sc">DE</emph>
          </head>
          <head xml:id="echoid-head44" xml:space="preserve">CIRCULI MAGNITUDINE
            <lb/>
          INVENTA.</head>
          <head xml:id="echoid-head45" xml:space="preserve">
            <emph style="sc">Theorema</emph>
          I.
            <emph style="sc">Propositio</emph>
          I.</head>
          <p style="it">
            <s xml:id="echoid-s1147" xml:space="preserve">SI Circuli portioni, ſemicirculo minori, trian-
              <lb/>
            gulum maximum inſcribatur, & </s>
            <s xml:id="echoid-s1148" xml:space="preserve">portioni-
              <lb/>
            bus reliquis triangula ſimiliter inſcribantur,
              <lb/>
            erit triangulum primo deſcriptum duorum ſimul
              <lb/>
            quæ in portionibus reliquis deſcripta ſunt minus
              <lb/>
            quam quadruplum.</s>
            <s xml:id="echoid-s1149" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1150" xml:space="preserve">Eſto circuli portio A B C, ſemicirculo minor, cujus diameter
              <lb/>
              <note position="right" xlink:label="note-0065-01" xlink:href="note-0065-01a" xml:space="preserve">TAB. XXXVI@
                <lb/>
              Fig. 1.</note>
            B D; </s>
            <s xml:id="echoid-s1151" xml:space="preserve">maximum autem inſcriptum ſit triangulum A B C,
              <lb/>
            hoc eſt, quod baſin & </s>
            <s xml:id="echoid-s1152" xml:space="preserve">altitudinem habeat cum portione eandem.
              <lb/>
            </s>
            <s xml:id="echoid-s1153" xml:space="preserve">Et reliquis duabus portionibus inſcribantur triangula item ma-
              <lb/>
            xima A E B, B F C. </s>
            <s xml:id="echoid-s1154" xml:space="preserve">Dico triangulum A B C minus eſſe quam
              <lb/>
            quadruplum triangulorum A E B, B F C ſimul ſumpto-
              <lb/>
            rum. </s>
            <s xml:id="echoid-s1155" xml:space="preserve">Jungatur enim E F, quæ ſecet diametrum portionis
              <lb/>
            in puncto G. </s>
            <s xml:id="echoid-s1156" xml:space="preserve">Quoniam igitur arcus A B bifariam dividitur
              <lb/>
            in E puncto, erit utraque harum E A, E B, major dimi-
              <lb/>
            diâ A B. </s>
            <s xml:id="echoid-s1157" xml:space="preserve">Quamobrem quadratum A B minus erit quam qua-
              <lb/>
            druplum quadrati E B vel E A. </s>
            <s xml:id="echoid-s1158" xml:space="preserve">Sicut autem quadratum A B
              <lb/>
            ad quadr. </s>
            <s xml:id="echoid-s1159" xml:space="preserve">E B, ita eſt D B ad B G longitudine; </s>
            <s xml:id="echoid-s1160" xml:space="preserve">quia qua-
              <lb/>
            dratum quidem A B æquale eſt rectangulo quod à D B & </s>
            <s xml:id="echoid-s1161" xml:space="preserve">
              <lb/>
            circuli totius diametro continetur, quadratum vero E B æ-
              <lb/>
            quale rectangulo ſub eadem diametro & </s>
            <s xml:id="echoid-s1162" xml:space="preserve">recta B G. </s>
            <s xml:id="echoid-s1163" xml:space="preserve">Minor
              <lb/>
            igitur eſt B D quam quadrupla B G. </s>
            <s xml:id="echoid-s1164" xml:space="preserve">Sed & </s>
            <s xml:id="echoid-s1165" xml:space="preserve">A C minor
              <lb/>
            eſt quam dupla E F, quoniam hæc ipſi A B æquatur. </s>
            <s xml:id="echoid-s1166" xml:space="preserve">Er-
              <lb/>
            go patet triangulum A B C minus eſſe quam octuplum </s>
          </p>
        </div>
      </text>
    </echo>
Impressum