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

Table of Notes

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          <pb o="753" file="0497" n="519" rhead="NOVUS CYCLUS HARMONICUS."/>
        </div>
        <div xml:id="echoid-div501" type="section" level="1" n="187">
          <head xml:id="echoid-head263" style="it" xml:space="preserve">Tabulæ Explicatio.</head>
          <p>
            <s xml:id="echoid-s10560" xml:space="preserve">Secunda columna continet numeros qui exprimunt longi-
              <lb/>
            tudines Chordarum; </s>
            <s xml:id="echoid-s10561" xml:space="preserve">quibus habentur 31 intervalla æqualia
              <lb/>
            ſecundum novam diviſionem; </s>
            <s xml:id="echoid-s10562" xml:space="preserve">Chorda tota continet partes
              <lb/>
            100000 & </s>
            <s xml:id="echoid-s10563" xml:space="preserve">50000 ejus dimidium dant Octavam.</s>
            <s xml:id="echoid-s10564" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10565" xml:space="preserve">A latere in 3
              <emph style="super">2</emph>
            . </s>
            <s xml:id="echoid-s10566" xml:space="preserve">columna ſunt ſyllabæ, quæ nobis in cantu
              <lb/>
            inſerviunt, & </s>
            <s xml:id="echoid-s10567" xml:space="preserve">* pro quibuſdam chordis enarmonicis, qua-
              <lb/>
            rum prope ſol
              <emph style="super">x</emph>
            eſt maxime neceſſaria.</s>
            <s xml:id="echoid-s10568" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10569" xml:space="preserve">In 4
              <emph style="super">a</emph>
            . </s>
            <s xml:id="echoid-s10570" xml:space="preserve">columna ſunt litteræ quæ ordinario inſerviunt ad
              <lb/>
            deſignandos tonos.</s>
            <s xml:id="echoid-s10571" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10572" xml:space="preserve">Numeri 2
              <emph style="super">æ</emph>
            . </s>
            <s xml:id="echoid-s10573" xml:space="preserve">columnæ ope numerorum col. </s>
            <s xml:id="echoid-s10574" xml:space="preserve">1
              <emph style="super">æ</emph>
            . </s>
            <s xml:id="echoid-s10575" xml:space="preserve">detecti fuere,
              <lb/>
            hi ſunt illorum logarithmi reſpectivi; </s>
            <s xml:id="echoid-s10576" xml:space="preserve">ad quos habendos di-
              <lb/>
            viſi logarithmum numeri 2. </s>
            <s xml:id="echoid-s10577" xml:space="preserve">qui eſt 0, 30102999566 per 31.
              <lb/>
            </s>
            <s xml:id="echoid-s10578" xml:space="preserve">unde venit numerus N. </s>
            <s xml:id="echoid-s10579" xml:space="preserve">97106450, quem addidi continuo
              <lb/>
            Logarithmo num. </s>
            <s xml:id="echoid-s10580" xml:space="preserve">50000, qui eſt 4. </s>
            <s xml:id="echoid-s10581" xml:space="preserve">6989700043. </s>
            <s xml:id="echoid-s10582" xml:space="preserve">& </s>
            <s xml:id="echoid-s10583" xml:space="preserve">hiſce
              <lb/>
            additionibus detegimus omnes Logarithmos hujus columnæ
              <lb/>
            uſque ad maximum 4, 9999999993, qui parum deficiens a
              <lb/>
            5,0000000000, (in cujus locum ſubſtitui poteſt) demonſtrat
              <lb/>
            bene ſubductum calculum. </s>
            <s xml:id="echoid-s10584" xml:space="preserve">Qui Logarithmos intelligunt no-
              <lb/>
            runt ita ineundam computationem, ſi quærantur 30 numeri
              <lb/>
            proportionales inter 100000 & </s>
            <s xml:id="echoid-s10585" xml:space="preserve">50000.</s>
            <s xml:id="echoid-s10586" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10587" xml:space="preserve">5a. </s>
            <s xml:id="echoid-s10588" xml:space="preserve">columna continet in numeris longitudines chordarum
              <lb/>
            juxta Temperamentum ordinarium, & </s>
            <s xml:id="echoid-s10589" xml:space="preserve">in 6
              <emph style="super">a</emph>
            . </s>
            <s xml:id="echoid-s10590" xml:space="preserve">columna ſunt
              <lb/>
            eorum numerorum Logarithmi.</s>
            <s xml:id="echoid-s10591" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10592" xml:space="preserve">Poſſem explicare quomodo eos ſupputaverim, & </s>
            <s xml:id="echoid-s10593" xml:space="preserve">pariter,
              <lb/>
            quomodo id Temperamentum poſſet detegi, ſi nondum eſ-
              <lb/>
            ſet repertum; </s>
            <s xml:id="echoid-s10594" xml:space="preserve">ſed id foret nimis longum, & </s>
            <s xml:id="echoid-s10595" xml:space="preserve">ſufficiet, de-
              <lb/>
            monſtrare methodum examinandi, & </s>
            <s xml:id="echoid-s10596" xml:space="preserve">numerorum ἀκρίβ{ει}αν, & </s>
            <s xml:id="echoid-s10597" xml:space="preserve">
              <lb/>
            omnia quæ dixi de nova diviſione & </s>
            <s xml:id="echoid-s10598" xml:space="preserve">de ratione quam ha-
              <lb/>
            bet cum Temperamento.</s>
            <s xml:id="echoid-s10599" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10600" xml:space="preserve">Ponamus, determinandum eſſe, an Quinta Vt, Sol, tem-
              <lb/>
            peramenti vulgaris, minor ſit {1/4} Commatis, quam vera Quinta,
              <lb/>
            cujus ratio eſt trium ad duo. </s>
            <s xml:id="echoid-s10601" xml:space="preserve">A log. </s>
            <s xml:id="echoid-s10602" xml:space="preserve">Vt, qui eſt 5,0000000000
              <lb/>
            ſubſtraho log. </s>
            <s xml:id="echoid-s10603" xml:space="preserve">Sol qui eſt 4,8252574989, id, quod </s>
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