Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
221
221 		222
222
223
223 		224
224
225
225 		226
226
227
227 		228
228
229
229 		230
230
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/312.jpg" pagenum="284"/>
                    <arrow.to.target n="note260"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note260"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Scholium Generale.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Ex his Propoſitionibus, per oſcillationes Pendulorum in Mediis
                    <lb/>
                  quibuſcunque, invenire licet reſiſtentiam Mediorum. </s>
                  <s>Aeris vero
                    <lb/>
                  reſiſtentiam inveſtigavi per Experimenta ſequentia. </s>
                  <s>Globum lig­
                    <lb/>
                  neum pondere unciarum
                    <emph type="italics"/>
                  Romanarum
                    <emph.end type="italics"/>
                  (57 7/22), diametro digitorum
                    <lb/>
                    <emph type="italics"/>
                  Londinenſium
                    <emph.end type="italics"/>
                  6 7/8 fabricatum, filo tenui ab unco ſatis firmo ſuſpen­
                    <lb/>
                  di, ita ut inter uncum & centrum oſcillationis Globi diſtantia eſſet
                    <lb/>
                  pedum 10 1/2. In filo punctum notavi pedibus decem & uncia una
                    <lb/>
                  a centro ſuſpenſionis diſtans; & e regione puncti illius collocavi
                    <lb/>
                  Regulam in digitos diſtinctam, quorum ope notarem longitudi­
                    <lb/>
                  nes arcuum a Pendulo deſcriptas. </s>
                  <s>Deinde numeravi oſcillationes
                    <lb/>
                  quibus Globus octavam motus ſui partem amitteret. </s>
                  <s>Si pendu­
                    <lb/>
                  lum deducebatur a perpendiculo ad diſtantiam duorum digitorum,
                    <lb/>
                  & inde demittebatur; ita ut toto ſuo deſcenſu deſcriberet arcum
                    <lb/>
                  duorum digitorum, totaque oſcillatione prima, ex deſcenſu & aſcen­
                    <lb/>
                  ſu ſubſequente compoſita, arcum digitorum fere quatuor: idem
                    <lb/>
                  oſcillationibus 164 amiſit octavam motus ſui partem, ſic ut ultimo
                    <lb/>
                  ſuo aſcenſu deſcriberet arcum digiti unius cum tribus partibus
                    <lb/>
                  quartis digiti. </s>
                  <s>Si primo deſcenſu deſcripſit arcum digitorum qua­
                    <lb/>
                  tuor; amiſit octavam motus partem oſcillationibus 121, ita ut aſcen­
                    <lb/>
                  ſu ultimo deſcriberet arcum digitorum 3 1/2. Si primo deſcenſu de­
                    <lb/>
                  ſcripſit arcum digitorum octo, ſexdecim, triginta duorum vel ſexa­
                    <lb/>
                  ginta quatuor; amiſit octavam motus partem oſcillationibus 69, 35 1/2,
                    <lb/>
                  18 1/2, 9 2/3, reſpective. </s>
                  <s>Igitur differentia inter arcus deſcenſu primo
                    <lb/>
                  & aſcenſu ultimo deſcriptos, erat in caſu primo, ſecundo, tertio,
                    <lb/>
                  quarto, quinto, ſexto, digitorum 1/4, 1/2, 1, 2, 4, 8 reſpective. </s>
                  <s>Divi­
                    <lb/>
                  dantur eæ differentiæ per numerum oſcillationum in caſu unoquo­
                    <lb/>
                  que, & in oſcillatione una mediocri, qua arcus digitorum 3 1/4, 7 1/2,
                    <lb/>
                  15, 30, 60, 120 deſcriptus fuit, differentia arcuum deſcenſu & ſub­
                    <lb/>
                  ſequente aſcenſu deſcriptorum, erit (1/656), (1/242), (1/69), (4/71), (8/37), (24/29) partes di­
                    <lb/>
                  giti reſpective. </s>
                  <s>Hæ autem in majoribus oſcillationibus ſunt in du­
                    <lb/>
                  plicata ratione arcuum deſcriptorum quam proxime, in minoribus
                    <lb/>
                  vero paulo majores quam in ea ratione; & propterea (per Corol. </s>
                  <s>2.
                    <lb/>
                  Prop. </s>
                  <s>XXXI Libri hujus) reſiſtentia Globi, ubi celerius movetur,
                    <lb/>
                  eſt in duplicata ratione velocitatis quam proxime; ubi tardius, pau­
                    <lb/>
                  lo major quam in ea ratione. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum