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-s1342" xml:space="preserve">Elevationem plani vocamus altitudinem ejus ſecundum
              <lb/>
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                <emph style="sc">De de-</emph>
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                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
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            perpendiculum.
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            <s xml:id="echoid-s1343" xml:space="preserve"> Fig. 4.
              <note symbol="*" position="right" xlink:label="note-0095-03" xlink:href="note-0095-03a" xml:space="preserve">Prop. 4.
                <lb/>
              huj.</note>
            ſit aſcendere per totam B C. Ideoque cadens ex F in B, ſi continuet porro motum per B C; quod repercuſſu ad ſu- perficiem obliquam fieri poteſt; aſcendet usque in C, hoc eſt, altius quam unde decidit, quod eſt abſurdum.</s>
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            <s xml:id="echoid-s1344" xml:space="preserve">Eodem modo oſtendetur neque per planum A B deciden-
              <lb/>
            ti minorem velocitatem acquiri quam per C B. </s>
            <s xml:id="echoid-s1345" xml:space="preserve">Ergo per
              <lb/>
            utraque plana eadem velocitas acquiritur, quod erat demon-
              <lb/>
            ſtrandum.</s>
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            <s xml:id="echoid-s1347" xml:space="preserve">Quod ſi vero, pro plano alterutro, ſumatur perpendicu-
              <lb/>
            lum ipſum planorum elevationi æquale, per quod decidere
              <lb/>
            mobile ponatur, ſic quoque eandem quam per plana incli-
              <lb/>
            nata velocitatem ei acquiri conſtat; </s>
            <s xml:id="echoid-s1348" xml:space="preserve">eadem namque eſt de-
              <lb/>
            monſtratio.</s>
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            <s xml:id="echoid-s1350" xml:space="preserve">Porro hinc jam recte quoque procedet demonſtratio alte-
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            rius theorematis Galileani, cui reliqua omnia, quæ de de-
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            ſcenſu ſuper planis inclinatis tradidit, ſuperſtruuntur. </s>
            <s xml:id="echoid-s1351" xml:space="preserve">Nempe</s>
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          <head xml:id="echoid-head52" xml:space="preserve">PROPOSITIO VII.</head>
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            <s xml:id="echoid-s1352" xml:space="preserve">TEmpora deſcenſuum ſuper planis diverſimode
              <lb/>
            inclinatis, ſed quorum eadem eſt elevatio, eſſe
              <lb/>
            inter ſe ut planorum longitudines.</s>
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