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

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            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>
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