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

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          <p>
            <s xml:id="echoid-s3870" xml:space="preserve">
              <pb o="456" file="0176" n="186" rhead="VERA CIRCULI"/>
            ut lectori compendium patefiat) ſeu logorithmus numeri 1{24/1000}
              <lb/>
            poſito logorithmo denarii arbitrario 23025850929940456-
              <lb/>
            240178700; </s>
            <s xml:id="echoid-s3871" xml:space="preserve">deinde eodem ſuppoſito logorithmo arbitrario
              <lb/>
            denarii, addatur logorithmus numeri 1000, ſeu triplus logo-
              <lb/>
            rithmi denarii, logorithmo numeri 1{24/1000}, eritque ſumma
              <lb/>
            logorithmus numeri 1024, cujus pars decima erit logorithmus
              <lb/>
            numeri binarii, pro eodem logorithmo denarii arbitrario,
              <lb/>
            nempe 6931471805599452914171917: </s>
            <s xml:id="echoid-s3872" xml:space="preserve">fiatque ut logorith-
              <lb/>
            mus numerii denarii 23025850929940456240178700 ad lo-
              <lb/>
            gorithmum numeri binarii correſpondentem 69314718055-
              <lb/>
            99452914171917, ita logorithmus numeri denarii arbitrarius
              <lb/>
            propoſitus nempe 100000000000000000000000000 ad lo-
              <lb/>
            gorithmum numeri binarii quæſitum 3010299956639811952-
              <lb/>
            405804, quem invenire oportuit: </s>
            <s xml:id="echoid-s3873" xml:space="preserve">eodem modo invenitur lo-
              <lb/>
            gorithmus ternarii 4771212547196624373502993, &</s>
            <s xml:id="echoid-s3874" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3875" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3876" xml:space="preserve">Ut in promptu habeantur numeri illi compoſiti parum in-
              <lb/>
            ter ſe differentes pro unoquoque numero primo, hic tabel-
              <lb/>
            lam exhibeo pro numeris primis uſque ad 100, & </s>
            <s xml:id="echoid-s3877" xml:space="preserve">unam re-
              <lb/>
            gulam pro numeris primis inter 100 & </s>
            <s xml:id="echoid-s3878" xml:space="preserve">1000 & </s>
            <s xml:id="echoid-s3879" xml:space="preserve">alteram pro
              <lb/>
            numeris primis ſupra 1000; </s>
            <s xml:id="echoid-s3880" xml:space="preserve">quæ omnia ita excogitata ſunt,
              <lb/>
            ut verus cujuscunque numeri primi logorithmus inveniri
              <lb/>
            poſſit correſpondens logorithmo arbitrario denarii 100000-
              <lb/>
            00000000000000000000 ex una ſola multiplicatione, dua-
              <lb/>
            bus diviſionibus & </s>
            <s xml:id="echoid-s3881" xml:space="preserve">una radicis quadratæ extractione, ultra
              <lb/>
            inconſiderabiles aliquot operatiunculas.</s>
            <s xml:id="echoid-s3882" xml:space="preserve"/>
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            <lb/>
          2 # 1000(
            <emph style="super">3</emph>
          )10
            <lb/>
          " # 1024(
            <emph style="super">10</emph>
          )2
            <lb/>
          3 # 32805 factus ex 5 & 6561(
            <emph style="super">8</emph>
          )3
            <lb/>
          " # 32768(
            <emph style="super">15</emph>
          ) 2
            <lb/>
          7 # 2400 factus ex 3 & 32(
            <emph style="super">5</emph>
          )2 & 25(
            <emph style="super">2</emph>
          )5
            <lb/>
          " # 2401(
            <emph style="super">4</emph>
          )7
            <lb/>
          11 # 9800 factus ex 2, 49(
            <emph style="super">2</emph>
          )7 & 100(
            <emph style="super">2</emph>
          )10
            <lb/>
          " # 9801 factus ex 121(
            <emph style="super">2</emph>
          )11 & 81(
            <emph style="super">4</emph>
          )3
            <lb/>
          </note>
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