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

Page concordance

< >
Scan Original
221 140
222 141
223 142
224
225
226
227 143
228 144
229 145
230 146
231 147
232 148
233 149
234 150
235 151
236 152
237 153
238 154
239
240
241
242 155
243 156
244
245
246
247 157
248 158
249 159
250 160
< >
page |< < (240) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div437" type="section" level="1" n="179">
          <p>
            <s xml:id="echoid-s5253" xml:space="preserve">
              <pb o="240" file="0318" n="345" rhead="DE CENTRO OSCILL."/>
            dentiæ ergo, pondera penduli A & </s>
            <s xml:id="echoid-s5254" xml:space="preserve">B in linea inflexili D B
              <lb/>
              <note position="left" xlink:label="note-0318-01" xlink:href="note-0318-01a" xml:space="preserve">TAB. XXVIII.
                <lb/>
              Fig. 5.</note>
            libere hinc inde moveri poſſe, ſic ut linea hæc, dum rotatur
              <lb/>
            circa axem D, quamvis ſecum rapiat pondera, non tamen
              <lb/>
            impediat deſcenſum illorum in linea recta centrum Terræ
              <lb/>
            verſus. </s>
            <s xml:id="echoid-s5255" xml:space="preserve">Quo poſito, conſtat, utrumlibet pondus ſigillatim
              <lb/>
            dimiſſum, eadem celeritate latum iri, qua ferretur absque
              <lb/>
            virga D B, utpote nec a virga, nec ab ejus axe ullo modo
              <lb/>
            impeditum; </s>
            <s xml:id="echoid-s5256" xml:space="preserve">id eſt ſi pondus A absque virga certo tempore
              <lb/>
            conficit ſpatium A H, & </s>
            <s xml:id="echoid-s5257" xml:space="preserve">pondus B ſpatium æquale B N,
              <lb/>
            utrumque etiam cum virga, ſed ſigillatim, dimiſſum eodem
              <lb/>
            tempore idem ſpatium A H & </s>
            <s xml:id="echoid-s5258" xml:space="preserve">B N conficiet. </s>
            <s xml:id="echoid-s5259" xml:space="preserve">Conſtat in-
              <lb/>
            ſuper, quod ſi gravitas in utrumque pondus ageret viri-
              <lb/>
            bus, quæ proportionatæ forent ipſorum reſpectivis ab axe
              <lb/>
            diſtantiis, virga nullum adhuc ipſorum deſcenſui afferret im-
              <lb/>
            pedimentum, propterea quoniam exacto certo tempore unum
              <lb/>
            eorum reperiretur in H & </s>
            <s xml:id="echoid-s5260" xml:space="preserve">alterum in I, vel prius in L, po-
              <lb/>
            ſterius in N, ſive absque virga, ſive cum virga, ſive ſigil-
              <lb/>
            latim ſive conjunctim dimitterentur. </s>
            <s xml:id="echoid-s5261" xml:space="preserve">Verum enim vero
              <lb/>
            quoniam gravitas in utrumque pondus agit viribus æquali-
              <lb/>
            bus, ſic ut pondera eodem tempore æqualia ſpatia A H & </s>
            <s xml:id="echoid-s5262" xml:space="preserve">
              <lb/>
            B N transigere annitantur, & </s>
            <s xml:id="echoid-s5263" xml:space="preserve">tamen interea pondus A jun-
              <lb/>
            ctim dimiſſum, ob inflexilem virgam, nequit pertingere niſi
              <lb/>
            ad L, dum pondus B jam eſt in N, hinc ſequitur, gravita-
              <lb/>
            tis vim in pondere A non eſſe exhauſtam; </s>
            <s xml:id="echoid-s5264" xml:space="preserve">adeoque reſiduum
              <lb/>
            harum virium, ex una parte urgere debere corpus B, ex al-
              <lb/>
            tera ipſum axem D, eundemque premendo aliquam ſui par-
              <lb/>
            tem ibidem inſumere & </s>
            <s xml:id="echoid-s5265" xml:space="preserve">deperdere; </s>
            <s xml:id="echoid-s5266" xml:space="preserve">ſiquidem virga hocce
              <lb/>
            caſu inſtar vectis conſiderari poſſit, prout extra dubium eſt;
              <lb/>
            </s>
            <s xml:id="echoid-s5267" xml:space="preserve">quod ſi corpus B infinite tarde moveri, id eſt, firmum & </s>
            <s xml:id="echoid-s5268" xml:space="preserve">
              <lb/>
            ſtabile eſſe intelligatur ſicut axis D, corpus A partem ſui
              <lb/>
            ponderis æque in axem D atque in corpus B transferret. </s>
            <s xml:id="echoid-s5269" xml:space="preserve">
              <lb/>
            Ex hactenus dictis colligere proclive eſt, ſi quis examinare
              <lb/>
            vellet, quantam partem celeritatis ſuæ pondus A in premen-
              <lb/>
            do axe D conſumere debeat, eum exinde, imitando Dn. </s>
            <s xml:id="echoid-s5270" xml:space="preserve">Ca-
              <lb/>
            telani ratiocinium, veritatem aut falſitatem Hugenianæ Hy-
              <lb/>
            potheſeos, inque hac fundatæ Propoſitionis, detegere poſſe.</s>
            <s xml:id="echoid-s5271" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum