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

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        <div xml:id="echoid-div482" type="section" level="1" n="168">
          <p>
            <s xml:id="echoid-s10153" xml:space="preserve">
              <pb o="733" file="0477" n="499" rhead="IN LUDO ALEÆ."/>
            ceret, deficerent ipſi duo luſus & </s>
            <s xml:id="echoid-s10154" xml:space="preserve">mihi unus; </s>
            <s xml:id="echoid-s10155" xml:space="preserve">ac proinde in
              <lb/>
            eodem ſtatu eſſemus, qui in præcedenti Propoſitione poſi-
              <lb/>
            tus fuit, mihique obtingeret {3/4}a, ut ibi oſtenſum eſt. </s>
            <s xml:id="echoid-s10156" xml:space="preserve">Ita-
              <lb/>
            que pari facilitate vel a mihi obtinget vel {3/4}a, id quod tan-
              <lb/>
            tum eſt, per 1
              <emph style="super">mam</emph>
            Propoſitionem, ac {7/8}a. </s>
            <s xml:id="echoid-s10157" xml:space="preserve">Et relinquitur {@/8} a
              <lb/>
            colluſori meo; </s>
            <s xml:id="echoid-s10158" xml:space="preserve">ita ut mea ſors ad ſortem illius ſe habeat, ſic
              <lb/>
            ut 7 ad 1.</s>
            <s xml:id="echoid-s10159" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10160" xml:space="preserve">Quemadmodum autem ad hunc calculum requiſitus eſt
              <lb/>
            præcedens, ita rurſus hicce inſervit ſequenti: </s>
            <s xml:id="echoid-s10161" xml:space="preserve">nimirum, ſi
              <lb/>
            ponamus mihi unum ludum deficere & </s>
            <s xml:id="echoid-s10162" xml:space="preserve">colluſori meo 4
              <emph style="super">or</emph>
            lu-
              <lb/>
            ſus. </s>
            <s xml:id="echoid-s10163" xml:space="preserve">Et invenitur eodem modo, mihi deberi {15/16} iſtius quod
              <lb/>
            depoſitum eſt, & </s>
            <s xml:id="echoid-s10164" xml:space="preserve">ipſi {1/16}.</s>
            <s xml:id="echoid-s10165" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div483" type="section" level="1" n="169">
          <head xml:id="echoid-head237" xml:space="preserve">
            <emph style="sc">Propositio</emph>
          VI.</head>
          <head xml:id="echoid-head238" style="it" xml:space="preserve">Ponamus mihi deficere duos luſus & colluſori meo
            <lb/>
          tres luſus.</head>
          <p>
            <s xml:id="echoid-s10166" xml:space="preserve">FIet itaque primo luſu; </s>
            <s xml:id="echoid-s10167" xml:space="preserve">vel ut mihi unus luſus deficiat & </s>
            <s xml:id="echoid-s10168" xml:space="preserve">
              <lb/>
            ipſi tres (unde mihi per præcedentem Propoſitionem ob-
              <lb/>
            tinget {7/8} a); </s>
            <s xml:id="echoid-s10169" xml:space="preserve">vel ut cuique noſtrum adhuc duo luſus deficiant,
              <lb/>
            unde mihi debebitur {1/2} a, quandoquidem ſic utrique æqua ſors
              <lb/>
            futura eſt. </s>
            <s xml:id="echoid-s10170" xml:space="preserve">Eſt mihi autem æqualis facilitas ad primum lu-
              <lb/>
            dum vincendum aut perdendum; </s>
            <s xml:id="echoid-s10171" xml:space="preserve">ita ut mihi æqua ſit expe-
              <lb/>
            ctatio ad obtinendum {7/8}a aut {1/2}a, id quod mihi valet {11/16} a, per
              <lb/>
            1
              <emph style="super">mam</emph>
            Propoſitionem. </s>
            <s xml:id="echoid-s10172" xml:space="preserve">Et debentur mihi 11 partes ejus quod
              <lb/>
            depoſitum eſt, & </s>
            <s xml:id="echoid-s10173" xml:space="preserve">colluſori meo 5 partes.</s>
            <s xml:id="echoid-s10174" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div484" type="section" level="1" n="170">
          <head xml:id="echoid-head239" xml:space="preserve">
            <emph style="sc">Propositio</emph>
          VII.</head>
          <head xml:id="echoid-head240" style="it" xml:space="preserve">Ponamus mihi deficere duos luſus & colluſori me@
            <lb/>
          quatuor.</head>
          <p>
            <s xml:id="echoid-s10175" xml:space="preserve">FIet itaque, ut, ſi primum ludum vincam, unum ludum
              <lb/>
            vincere debeam & </s>
            <s xml:id="echoid-s10176" xml:space="preserve">alter quatuor; </s>
            <s xml:id="echoid-s10177" xml:space="preserve">vel, ſi eundem perdam,
              <lb/>
            duos & </s>
            <s xml:id="echoid-s10178" xml:space="preserve">alter tres. </s>
            <s xml:id="echoid-s10179" xml:space="preserve">Ita ut æqua mihi ſors obtingat ad </s>
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