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

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            <s xml:id="echoid-s1121" xml:space="preserve">
              <pb file="0063" n="67" rhead="PRÆFATIO."/>
            gona adhibeantur. </s>
            <s xml:id="echoid-s1122" xml:space="preserve">Quod quidem certâ ratione con-
              <lb/>
            tingere perſpeximus ſicuti & </s>
            <s xml:id="echoid-s1123" xml:space="preserve">Quadratum cujuſque
              <lb/>
            numeri bis totidem quot latus characteribus ple-
              <lb/>
            rumque conſtituitur. </s>
            <s xml:id="echoid-s1124" xml:space="preserve">At majora etiam compendia
              <lb/>
            centrorum gravitatis proprietas ſubminiſtrat, & </s>
            <s xml:id="echoid-s1125" xml:space="preserve">
              <lb/>
            propius quodammodo ad perfectionem inſuperabilis
              <lb/>
            problematis per hæc acceſſiſſe videmur. </s>
            <s xml:id="echoid-s1126" xml:space="preserve">Certe ad
              <lb/>
            Archimedeos peripheriæ limites conſtituendos, ſo-
              <lb/>
            lo nunc inſcripti trigoni cognito latere indigemus.
              <lb/>
            </s>
            <s xml:id="echoid-s1127" xml:space="preserve">E ſexagintangulo autem inter hoſce eam contineri
              <lb/>
            probamus 31415926538 & </s>
            <s xml:id="echoid-s1128" xml:space="preserve">31415926533, poſitâ
              <lb/>
            diametro partium 10000000000, cum ſolitâ me-
              <lb/>
            thodo vix iſti producantur 3145, 3140. </s>
            <s xml:id="echoid-s1129" xml:space="preserve">Adeo ut
              <lb/>
            triplus jam & </s>
            <s xml:id="echoid-s1130" xml:space="preserve">ultra ſit verarum hîc notarum nume-
              <lb/>
            rus, ſicut per præcedentia duplus; </s>
            <s xml:id="echoid-s1131" xml:space="preserve">& </s>
            <s xml:id="echoid-s1132" xml:space="preserve">perpetuo qui-
              <lb/>
            dem ſucceſſu, haud aliter quam in majoribus nu-
              <lb/>
            meris cubum ſui lateris triplum eſſe animadverti-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s1133" xml:space="preserve">Ergo poſthac ſi qui falsò circumferentiæ ma-
              <lb/>
            gnitudinem definient, pernumeroſapolygona non re-
              <lb/>
            futabuntur, ſed calculo brevi miniméque intrica-
              <lb/>
            to, quemque erroris inſimulare, quod hactenus fe-
              <lb/>
            rè ſoliti ſunt, haud facile poſſint. </s>
            <s xml:id="echoid-s1134" xml:space="preserve">Ad hæc ſi quid
              <lb/>
            in ſubienſarum Canone, quem emendatum haberi
              <lb/>
            quantum referat omnes ſciunt, in eo contexendo ſi
              <lb/>
            quid erit admiſſum aut aliunde perverſum irrepſe-
              <lb/>
            rit, non dif@icile erit horum ope reſtituere, cum
              <lb/>
            aliâ nunc ratione ex inſcriptis in circulo longitu-
              <lb/>
            dinem arcuum quibus ſubtenduntur invenire lice-
              <lb/>
            at. </s>
            <s xml:id="echoid-s1135" xml:space="preserve">Quinimo & </s>
            <s xml:id="echoid-s1136" xml:space="preserve">omni Canonum auxilio </s>
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