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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              <pb o="39" file="0065" n="66" rhead="HOROLOG. OSCILLATOR."/>
            um planè eadem conſtanter maneret. </s>
            <s xml:id="echoid-s900" xml:space="preserve">Sed cum pauxillum
              <lb/>
              <note position="right" xlink:label="note-0065-01" xlink:href="note-0065-01a" xml:space="preserve">
                <emph style="sc">Descri-</emph>
                <lb/>
                <emph style="sc">PTIO</emph>
                <emph style="sc">Ho-</emph>
                <lb/>
                <emph style="sc">ROLOGII</emph>
              .</note>
            quandoque excedat vel deficiat, ex multis minimis differen-
              <lb/>
            tiolis tandem magna ſatis conflatur, idque ita eſſe reipſa
              <lb/>
            atque experimentis evincitur. </s>
            <s xml:id="echoid-s901" xml:space="preserve">Etſi enim eadem ſemper ſit
              <lb/>
            ponderis vis, rotæ ſibi proximæ reſpectu, tamen per tot
              <lb/>
            alias transdita, quantâcunque curâ limatæ fuerint, non
              <lb/>
            ſemper eadem ad perpendiculum usque pervenit. </s>
            <s xml:id="echoid-s902" xml:space="preserve">Præter-
              <lb/>
            quam quod frigore quoque difficilior motus rotarum effici-
              <lb/>
            tur; </s>
            <s xml:id="echoid-s903" xml:space="preserve">itemque evaneſcente aut ſordeſcente quod illis additur
              <lb/>
            oleo. </s>
            <s xml:id="echoid-s904" xml:space="preserve">Sed præcipue inæquales fiunt oſcillationes horologiis
              <lb/>
            quæ mari vehuntur, ob jactationem navis continuam, adeo
              <lb/>
            ut omnibus quidem in univerſum, ſed his maxime omnium
              <lb/>
            remedio opus ſit, quo reciprocationum Penduli latiorum
              <lb/>
            anguſtiorumque tempora æqualia evadant.</s>
            <s xml:id="echoid-s905" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s906" xml:space="preserve">Ad definiendam ergo lamellarum formam in quibus poſi-
              <lb/>
            tum eſt remedium iſtud, in primis Penduli longitudinem
              <lb/>
            ſtatuiſſe oportet, quæ facile ex eo habetur, quod ſint inter
              <lb/>
            ſe longitudines perpendiculorum, ſicut temporum quæ in
              <lb/>
            ſingulos recurſus impenduntur quadrata. </s>
            <s xml:id="echoid-s907" xml:space="preserve">Adeo ut cum tri-
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            bus pedibus definiverimus longitudinem perpendiculi quod
              <lb/>
            ſcrupula ſecunda metitur, ejus quarta pars, ſive unciæ no-
              <lb/>
            vem debeantur ei quod ſemiſecunda notaturum ſit. </s>
            <s xml:id="echoid-s908" xml:space="preserve">Item ſi
              <lb/>
            Penduli longitudo quæratur, cujus recurſus ſimplices 10000
              <lb/>
            horæ ſpatio peragantur, hoc modo ratio inibitur. </s>
            <s xml:id="echoid-s909" xml:space="preserve">Penduli
              <lb/>
            nempe tripedalis ſcimus 3600 recurſus in horas ſingulas nu-
              <lb/>
            merari: </s>
            <s xml:id="echoid-s910" xml:space="preserve">ergo hujus recurſuum tempora ſingula, majora ſunt
              <lb/>
            temporibus Penduli quæſiti, proportione 10000 ad 3600,
              <lb/>
            ſive 25 ad 9. </s>
            <s xml:id="echoid-s911" xml:space="preserve">Quare ut quadratum numeri 25 ad quadra-
              <lb/>
            tum 9, hoc eſt, ut 625 ad 81, ita erit longitudo pedum 3
              <lb/>
            ad eam quæ quærebatur, nempe unciarum 4 cum {66/100}.</s>
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          </p>
          <p>
            <s xml:id="echoid-s913" xml:space="preserve">Poſita ergo longitudine perpendiculi, puta pedum trium
              <lb/>
            in horologio à nobis propoſito, inde Cycloïs linea, quæ
              <lb/>
            curvaturam laminarum T datura eſt, hoc modo deſcribe-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s914" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s915" xml:space="preserve">Super tabula plana affigatur regula A B, ſemidigiti craſſitu-
              <lb/>
              <note position="right" xlink:label="note-0065-02" xlink:href="note-0065-02a" xml:space="preserve">TAB. III.
                <lb/>
              Fig. 1.</note>
            dine. </s>
            <s xml:id="echoid-s916" xml:space="preserve">Deinde fiat cylindrus C D E eadem illa altitudine, </s>
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