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

Table of figures

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[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.
[161] Fig. 42.* 19. Maii.
[162] Fig. 43.* 17. Dec.
[163] Fig. 44.* 18. Dec.
[164] Fig. 45.* 27. Dec.
[165] Fig. 46.* 11. Mart 1658.
[166] Fig. 47.* 16. Mart.
[167] Fig. 48.* 23. Mart.
[168] Fig. 49.* 3. Apr.
[169] Fig. 50.* 10. Nov.
[170] Fig. 51.* 16. Ian. 1659.
[171] Fig. 52.12. Febr. *
[172] Fig. 53.* 24. Febr.
[173] Fig. 54.25. Febr. *
[174] Fig. 55.14. Mart. *
[175] Fig. 56.16. Mart. *
[176] Fig. 57.* 21. Mart.
[177] Fig. 58.* 22. Mart.
[178] Fig. 59.26. Mart. *
[179] Pag. 574.TAB. XLIX.Fig. 2.
[180] Fig. 1.C K O B H N G M S * F D A L E
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        <div xml:id="echoid-div218" type="section" level="1" n="106">
          <pb o="460" file="0180" n="190" rhead="VERA CIRCULI"/>
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        <div xml:id="echoid-div219" type="section" level="1" n="107">
          <head xml:id="echoid-head148" xml:space="preserve">PROP. XXXV. PROBLEMA.</head>
          <head xml:id="echoid-head149" style="it" xml:space="preserve">Rectâ per datum punctum in diametro ductâ,
            <lb/>
          ſemicirculum in ratione data dividere.</head>
          <p>
            <s xml:id="echoid-s3921" xml:space="preserve">Sit ſemicirculus A D G, cujus diameter A G, centrum E,
              <lb/>
              <note position="left" xlink:label="note-0180-01" xlink:href="note-0180-01a" xml:space="preserve">TAB. XLIV.
                <lb/>
              fig. 2.</note>
            punctum in diametro datum B. </s>
            <s xml:id="echoid-s3922" xml:space="preserve">ſupponatur factum quod
              <lb/>
            jubetur; </s>
            <s xml:id="echoid-s3923" xml:space="preserve">ſitque recta B D ſemicirculum dividens in ratione
              <lb/>
            data: </s>
            <s xml:id="echoid-s3924" xml:space="preserve">quoniam datur ſemicirculi menſura & </s>
            <s xml:id="echoid-s3925" xml:space="preserve">ratio in qua
              <lb/>
            dividitur, igitur datur ejus portio nempe D B G. </s>
            <s xml:id="echoid-s3926" xml:space="preserve">Sit recta
              <lb/>
            B D, z: </s>
            <s xml:id="echoid-s3927" xml:space="preserve">ex datis rectis B D, B E, E D, innoteſcunt tri-
              <lb/>
            angula D E B, D E F, D E G: </s>
            <s xml:id="echoid-s3928" xml:space="preserve">deinde ſit ut D E F una cum
              <lb/>
            D E G ad D E G ità duplum D E G ad trapezium circum-
              <lb/>
            ſcriptum D E G H: </s>
            <s xml:id="echoid-s3929" xml:space="preserve">& </s>
            <s xml:id="echoid-s3930" xml:space="preserve">poſitis primis terminis convergenti-
              <lb/>
            bus D E G, D E G H continuetur ſeries convergens poly-
              <lb/>
            gonorum complicatorum, ſecundum circuli proprietates ſæ-
              <lb/>
            pius repetitas, donec conveniens fuerit approximationem ad-
              <lb/>
            hibere ita ut exhibeatur ſector D E G, qui una cum trian-
              <lb/>
            gulo D B E æquatur portioni D B G cognitæ, cujus æquatio-
              <lb/>
            nis reſolutio manifeſtat ignotam quantitatem z ſeu rectam
              <lb/>
            B D: </s>
            <s xml:id="echoid-s3931" xml:space="preserve">reliqua patent.</s>
            <s xml:id="echoid-s3932" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3933" xml:space="preserve">Idem problema eodem omnino modo reſolvitur in ellipſe,
              <lb/>
            hyperbola vel earum ſectore dato.</s>
            <s xml:id="echoid-s3934" xml:space="preserve"/>
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        <div xml:id="echoid-div221" type="section" level="1" n="108">
          <head xml:id="echoid-head150" xml:space="preserve">SCHOLIUM.</head>
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            <s xml:id="echoid-s3935" xml:space="preserve">Si quis prædictorum problematum mechanicam deſideret
              <lb/>
            praxim; </s>
            <s xml:id="echoid-s3936" xml:space="preserve">non difficile erit calculum, approximationem,
              <lb/>
            & </s>
            <s xml:id="echoid-s3937" xml:space="preserve">æquationis reſolutionem ſecundum vulgatas Geome-
              <lb/>
            triæ practicæ regulas quodammodo imitari, multa talia
              <lb/>
            problemata poſſem hic reſolvere ope analyſios & </s>
            <s xml:id="echoid-s3938" xml:space="preserve">noſtræ ſe-
              <lb/>
            ricrum convergentium doctrinæ, quæ antea impoſſibilia æſti-
              <lb/>
            mabantur: </s>
            <s xml:id="echoid-s3939" xml:space="preserve">ſed dicet fortè aliquis has reſolutiones non eſſe geo-
              <lb/>
            metricas; </s>
            <s xml:id="echoid-s3940" xml:space="preserve">reſpondeo, ſi per geometricum intelligatur </s>
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