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

List of thumbnails

< >
131
131 		132
132
133
133 		134
134
135
135 		136
136
137
137 		138
138
139
139 		140
140 (413)
< >
page |< < of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div142" type="section" level="1" n="61">
          <p style="it">
            <s xml:id="echoid-s2681" xml:space="preserve">
              <pb file="0127" n="136" rhead="AD LECTOREM."/>
            operationibus analyticis, ſeu arithmeticæ vulgaris, proportio enim nobis notior eſt in numeris ſeu in quantitate diſcreta, quam in continua, neque ve- reor poſt Carteſium has operationes in geometriam adducere. </s>
            <s xml:id="echoid-s2682" xml:space="preserve">Primo itaque ſciendum eſt nos ſemper nobis proponere quantitates commenſurabiles, ſeu quæ inter ſe ſunt ut numerus ad numerum; </s>
            <s xml:id="echoid-s2683" xml:space="preserve">pro- portionem enim incommenſur abilem niſi relativè ad commenſurabilem nullo modo percipimus, habet enim in ſe neſcio quid infiniti, mentem noſtram obtun- dens & </s>
            <s xml:id="echoid-s2684" xml:space="preserve">ſimplicem perceptionem impediens: </s>
            <s xml:id="echoid-s2685" xml:space="preserve">deinde ex illis quinque operationibus arithmeticis, duæ ſunt tantum ſimplices, additio & </s>
            <s xml:id="echoid-s2686" xml:space="preserve">ſubſtractio; </s>
            <s xml:id="echoid-s2687" xml:space="preserve">mul- tiplicatio enim eſt compoſita ex additione, & </s>
            <s xml:id="echoid-s2688" xml:space="preserve">divi- ſio ex ſubſtractione; </s>
            <s xml:id="echoid-s2689" xml:space="preserve">& </s>
            <s xml:id="echoid-s2690" xml:space="preserve">extractio radicum, quæ in genere nihil aliud eſt quam inventio proportionis commenſurabilis, quæ quam proximè accedit ad proportionem analyticam incommenſur abilem, com- ponitur ex præcedentibus quatuor; </s>
            <s xml:id="echoid-s2691" xml:space="preserve">& </s>
            <s xml:id="echoid-s2692" xml:space="preserve">noſtra ſexta operatio quæ in genere nihil aliud eſt quam inven- tio proportionis commenſurahilis, quam proximè accedentis ad noſtram proportionem non analyticam, componitur ex prioribus quinque. </s>
            <s xml:id="echoid-s2693" xml:space="preserve">Advertendum quoque eſt ſicut numeri fracti nunquam procedunt ex integrorum additione, ſubductione, multiplica- tione, ſed tantum ex diviſione; </s>
            <s xml:id="echoid-s2694" xml:space="preserve">& </s>
            <s xml:id="echoid-s2695" xml:space="preserve">numeri incom- menſurabiles nunquam procedunt ex commenſura- bilium additione, ſubductione, multiplicatione, diviſione, ſed tantum ex radicum extractione;</s>
            <s xml:id="echoid-s2696" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum