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-s2668" xml:space="preserve">
              <pb file="0126" n="135" rhead="PRÆFATIO"/>
            aliquod analyſios veſtigium. </s>
            <s xml:id="echoid-s2669" xml:space="preserve">deinde ſerierum con- vergentium naturis non ſolum in facilioribus qui- busdam caſibus, ſed etiam in genere & </s>
            <s xml:id="echoid-s2670" xml:space="preserve">prædictis circuli proprietatibus ad ellipſim &</s>
            <s xml:id="echoid-s2671" xml:space="preserve"> hyperbolam nullo negotio reductis, infallibilis mihi videbatur omnium ſectionum conicarum quadratu- ra: </s>
            <s xml:id="echoid-s2672" xml:space="preserve">dum autem me illuc converti ut polygonorum ſeriem convergentem terminarem, inſuperabilem difficultatem in ejus terminatione invenienda poſt omnes artis & </s>
            <s xml:id="echoid-s2673" xml:space="preserve">aleæ conatus deprehendi: </s>
            <s xml:id="echoid-s2674" xml:space="preserve">Sed ani- mo revolvens analyſios oſſicium eſſe ſicut algebræ communis, non ſolum problemata reſolvere, ſed etiam eorum impoſſibilitatem (ſi opus ſit) demon- ſtrare; </s>
            <s xml:id="echoid-s2675" xml:space="preserve">cumque in primo difficultatem indicibilem expertus eſſem, ad ſecundum me converti, quod certe ſupra votum ſucceſſit; </s>
            <s xml:id="echoid-s2676" xml:space="preserve">non enim ſolius circuli (quam mihi ab initio propoſueram) ſed omnium ſe- ctionum conicarum veram & </s>
            <s xml:id="echoid-s2677" xml:space="preserve">legitimam in ſua pro- portionum ſpecie quadraturam, & </s>
            <s xml:id="echoid-s2678" xml:space="preserve">integram pro- portionis ſpeciem ante incognitam orbi Geometrico patefacio, quam etiam proportionem ſaltem in re- latione ad dimenſionem ſectionum conicarum ad commenſurabilem veræ quam proximam reduco, praxi facili, demonſtrabili, & </s>
            <s xml:id="echoid-s2679" xml:space="preserve">extractione radicis ſurde ſolidæ (ni fallor) multo breviore; </s>
            <s xml:id="echoid-s2680" xml:space="preserve">in omni enim proportione incommenſurabili ad tales approxi- mationes recurrunt Mathematici: </s>
            <s xml:id="echoid-s2681" xml:space="preserve">ut autem melius concipiamus hujus proportionis naturam, loquamur de proportione quatenus ortum habet à </s>
          </p>
        </div>
      </text>
    </echo>
Impressum