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

Table of figures

< >
[Figure 191]
[192] Pag. 626.TAB. LI.Fig. 1.F E D V S 30 20 10 C L G R H K P A M Z I O X B
[193] Fig. 2.L K O R E H N I S D G B C
[194] Fig. 3.A 16 15 14 13 12 11 10 9 B 8 7 6 5 4 3 2 1
[195] Fig. 4
[196] Fig. 5.
[197] Fig. 6.
[198] Fig. 1.
[199] Fig. 2.
[200] Fig. 3.
[201] Fig. 4.
[202] Fig. 5.
[203] Fig. 6.
[204] Fig. 7.
[205] Fig. 8.
[206] Fig. 9.
[207] Fig. 10.
[208] Fig. 11.
[209] Fig. 12.
[210] Fig. 13.
[Figure 211]
[Figure 212]
[Figure 213]
[Figure 214]
[Figure 215]
[Figure 216]
[217] Pg. 700TAB. LIII.4 3 2 1 Annu Sat. lus
[218] 4 3 2 1 Jup.
[219] Luna Tellus
[220] Pag. 704.TAB. LIV.Fig. 1.Satu@@i. Jovis. Martis. Telluris. veneris. M@rc. ♎ Sol. ♈ VS
< >
page |< < (740) of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div489" type="section" level="1" n="175">
          <p>
            <s xml:id="echoid-s10334" xml:space="preserve">
              <pb o="740" file="0484" n="506" rhead="DE RATIOCINIIS"/>
            tionem habet etiam 71 caſus, ut ex duobus primis ja-
              <lb/>
            ctibus ſemel duos ſenarios jaciat, contra 1225 caſus,
              <lb/>
            quibus diverſum eveniat. </s>
            <s xml:id="echoid-s10335" xml:space="preserve">Habet itaque ab initio 71 ca-
              <lb/>
            ſus, qui ipſi dent a, & </s>
            <s xml:id="echoid-s10336" xml:space="preserve">1225 caſus, qui dent ipſi {71/1296}a.
              <lb/>
            </s>
            <s xml:id="echoid-s10337" xml:space="preserve">Quod ipſi per 2
              <emph style="super">dam</emph>
            Propoſitionem valet {178991/1679616}a. </s>
            <s xml:id="echoid-s10338" xml:space="preserve">Et re-
              <lb/>
            manet contracertanti {1500625/1679616}a. </s>
            <s xml:id="echoid-s10339" xml:space="preserve">Id quod oſtendit eorum
              <lb/>
            ſortes eſſe ad ſe invicem, ut 178991 ad 1500625.</s>
            <s xml:id="echoid-s10340" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10341" xml:space="preserve">E quibus porrò eâdem ratione invenitur expectatio e-
              <lb/>
            jus, qui 8 vicibus ſemel duos ſenarios jacere certat.
              <lb/>
            </s>
            <s xml:id="echoid-s10342" xml:space="preserve">Ac inde rurſus expectatio ejus, qui idem ſuſcipit 16 vi-
              <lb/>
            cibus. </s>
            <s xml:id="echoid-s10343" xml:space="preserve">Atque ex hujus expectatione, ut etiam ex expe-
              <lb/>
            ctatione illius, qui iſtud 8 vicibus ſuſcipit, invenitur ex-
              <lb/>
            pectatio ejus, qui illud 24 vicibus in ſe recipit. </s>
            <s xml:id="echoid-s10344" xml:space="preserve">In
              <lb/>
            qua operatione, quoniam præcipuè quæritur in quo nu-
              <lb/>
            mero jactuum æqualis ſors incipiat, inter eum qui id ſu-
              <lb/>
            ſcipit & </s>
            <s xml:id="echoid-s10345" xml:space="preserve">eum qui offert, licebit à numeris, qui alioquin
              <lb/>
            in immenſum excreſcerent, poſteriores aliquot characte-
              <lb/>
            res auferre. </s>
            <s xml:id="echoid-s10346" xml:space="preserve">Atque ita quidem reperio ei, qui illud 24
              <lb/>
            vicibus ſuſcipit, adhuc aliquid deficere; </s>
            <s xml:id="echoid-s10347" xml:space="preserve">tumque demum
              <lb/>
            eum potiorem conditionem inire, cùm 25 jactibus aggre-
              <lb/>
            ditur.</s>
            <s xml:id="echoid-s10348" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div490" type="section" level="1" n="176">
          <head xml:id="echoid-head249" xml:space="preserve">
            <emph style="sc">Propositio</emph>
          XII.</head>
          <head xml:id="echoid-head250" style="it" xml:space="preserve">Invenire quot teſſeris ſuſcipere quis poſſit, ut primâ
            <lb/>
          vice duos ſenarios jaciat.</head>
          <p>
            <s xml:id="echoid-s10349" xml:space="preserve">HOc autem tantundem eſt, ac ſi quis ſcire velit, quo-
              <lb/>
            to jactu quiſpiam unâ teſſerâ ſuſcipere poſſit, ut bis
              <lb/>
            ſenarium jaciat. </s>
            <s xml:id="echoid-s10350" xml:space="preserve">Quòd ſi quis duobus jactibus ſuſcipe-
              <lb/>
            ret, obtingeret ei, per ea quæ ante oſtenſa ſunt, {1/36}a.
              <lb/>
            </s>
            <s xml:id="echoid-s10351" xml:space="preserve">Qui illud tribus jactibus in ſe reciperet, ſi primus ejus
              <lb/>
            jactus ſenarius non foret, haberet adhuc duos jactus,
              <lb/>
            quorum uterque ſenarius eſſe deberet, id quod </s>
          </p>
        </div>
      </text>
    </echo>