Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Table of contents

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[91.] PROPOSITIO III.
Page: 200 (125)
[92.] PROPOSITIO IV.
Page: 201 (126)
[93.] PROPOSITIO V.
Page: 202 (127)
[94.] PROPOSITIO VI.
Page: 208 (130)
[95.] DEFINITIO XIV.
Page: 210 (132)
[96.] DEFINITIO XV.
Page: 210 (132)
[97.] PROPOSITIO VII.
Page: 210 (132)
[98.] PROPOSITIO VIII.
Page: 211 (133)
[99.] PROPOSITIO IX.
Page: 213 (135)
[100.] PROPOSITIO X.
Page: 214 (136)
[101.] PROPOSITIO XI.
Page: 218 (137)
[102.] PROPOSITIO XII.
Page: 218 (137)
[103.] PROPOSITIO XIII.
Page: 221 (140)
[104.] PROPOSITIO XIV.
Page: 223 (142)
[105.] PROPOSITIO XV.
Page: 228 (144)
[106.] PROPOSITIO XVI.
Page: 232 (148)
[107.] PROPOSITIO XVII.
Page: 233 (149)
[108.] PROPOSITIO XVIII.
Page: 234 (150)
[109.] PROPOSITIO XIX.
Page: 237 (153)
[110.] PROPOSITIO XX.
Page: 238 (154)
[111.] PROPOSITIO XXI.
Page: 238 (154)
[112.] Centrum oſcillationis Circuli.
Page: 247 (157)
[113.] Centrum oſcillationis Rectanguli.
Page: 247 (157)
[114.] Centrum oſcillationis Trianguli iſoſcelis.
Page: 248 (158)
[115.] Centrum oſcillationis Parabolæ.
Page: 248 (158)
[116.] Centrum oſcillationis Sectoris circuli.
Page: 248 (158)
[117.] Centrum oſcillationis Circuli, aliter quam ſupra.
Page: 250 (160)
[118.] Centrum oſcillationis Peripheriæ circuli.
Page: 250 (160)
[119.] Centrum oſcillationis Polygonorum ordinatorum.
Page: 254 (161)
[120.] Loci plani & ſolidi uſus in hac Theoria.
Page: 254 (161)
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            <s xml:id="echoid-s752" xml:space="preserve">
              <pb o="30" file="0056" n="57" rhead="CHRISTIANI HUGENII"/>
            ſtituta erat. </s>
            <s xml:id="echoid-s753" xml:space="preserve">Menſura enim temporis certa atque æqualis,
              <lb/>
            pendulo ſimplici naturâ non inerat, cum latiores excurſus
              <lb/>
            anguſtioribus tardiores obſerventur; </s>
            <s xml:id="echoid-s754" xml:space="preserve">ſed geometria duce di-
              <lb/>
            verſam ab ea, ignotamque antea penduli ſuſpenſionem re-
              <lb/>
            perimus, animadverſâ lineæ cujusdam curvaturâ, quæ ad
              <lb/>
            optatam æqualitatem illi conciliandam mirabili planè ratione
              <lb/>
            comparata eſt. </s>
            <s xml:id="echoid-s755" xml:space="preserve">Quam poſtquam horologiis adhibuimus,
              <lb/>
            tam conſtans certusque eorum motus evaſit, ut poſt crebra
              <lb/>
            experimenta terra marique capta, manifeſtum jam ſit & </s>
            <s xml:id="echoid-s756" xml:space="preserve">
              <lb/>
            Aſtronomiæ ſtudiis & </s>
            <s xml:id="echoid-s757" xml:space="preserve">arti Nauticæ plurimùm in iis eſſe
              <lb/>
            præſidii. </s>
            <s xml:id="echoid-s758" xml:space="preserve">Hæc ea eſt linea quam defixus in circumferentia
              <lb/>
            currentis rotæ clavus, continua circumvolutione, in aëre
              <lb/>
            deſignat; </s>
            <s xml:id="echoid-s759" xml:space="preserve">à Geometris noſtri ævi cycloidis nomine donata,
              <lb/>
            & </s>
            <s xml:id="echoid-s760" xml:space="preserve">ob alias multas ſui proprietates diligenter expenſa; </s>
            <s xml:id="echoid-s761" xml:space="preserve">à no-
              <lb/>
            bis verò propter eam quam diximus menſurandi temporis
              <lb/>
            facultatem, quam nihil tale ſuſpicantes, ac tantùm artis ve-
              <lb/>
            ſtigiis inſiſtentes, ineſſe ipſi comperimus. </s>
            <s xml:id="echoid-s762" xml:space="preserve">Hanc cum jam
              <lb/>
            pridem amicis horum intelligentibus notam fecerimus (nam
              <lb/>
            non multo poſt primam horologii editionem animadverſa
              <lb/>
            fuit) nunc eandem, demonſtratione quàm potuimus accu-
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            ratiſſima firmatam, omnibus legendam proponimus. </s>
            <s xml:id="echoid-s763" xml:space="preserve">Itaque
              <lb/>
            in hac tradenda demonſtratione potiſſima pars hujus libri
              <lb/>
            verſabitur. </s>
            <s xml:id="echoid-s764" xml:space="preserve">Ubi primùm neceſſe fuit novis nonnullis demon-
              <lb/>
            ſtrationibus ſtabilire & </s>
            <s xml:id="echoid-s765" xml:space="preserve">promovere ulterius viri maximi Ga-
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            lilei de deſcenſu gravium doctrinam, cujus fructus deſidera-
              <lb/>
            tiſſimus, atque apex veluti ſummus, hæc ipſa quam inve-
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            nimus cycloidis eſt proprietas.</s>
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            <s xml:id="echoid-s767" xml:space="preserve">Quæ porro ut ad pendulorum uſum aptari poſſet, nova cur-
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            varum linearum conſideratio adhibenda fuit, earum </s>
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