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

Table of figures

< >
[131] Fig. 12.* 29. Apr.
[132] Fig. 13.* 3. Maii.
[133] Fig. 14.* 6. Maii.
[134] Fig. 15.* 7. Maii.
[135] Fig. 16.* 10. Maii.
[136] Fig. 17.* 11. Maii.
[137] Fig. 18.* 12. Maii.
[138] Fig. 19.* 14. Maii.
[139] Fig. 20.* 15. Maii.
[140] Fig. 21.* 18. Maii.
[141] Fig. 22.* 19. Maii.
[142] Fig. 23.* 20. Maii.
[143] Fig. 24.* c a * 27. Maii.
[144] Fig. 25.c * 31. Maii. a *
[145] Fig. 26.* 13. Iun.
[146] Fig. 27.* 16. Ian. 1656.
[147] Fig. 28.* 19. Febr.
[148] Fig. 29.* 16. Mart.
[149] Fig. 30.* 30. Mart.
[150] Fig. 31.* 18. Apr.
[151] Fig. 32.* 17. Iun.
[152] Fig. 33.* 19. Oct.
[153] Fig. 34.* 21. Oct.
[154] Fig. 35.* 9. Nov.
[155] Fig. 36.* 27. Nov.
[156] Fig. 37.* 16. Dec.
[157] Fig. 38.* 18. Ian. 1657.
[158] Fig. 39.* 29. Mart.
[159] Fig. 40.* 30. Mart.
[160] Fig. 41.* 18. Maii.
< >
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>