Fabri, Honoré, Dialogi physici in quibus de motu terrae disputatur, 1665

List of thumbnails

< >
131
131 		132
132
133
133 		134
134
135
135 		136
136
137
137 		138
138
139
139 		140
140
< >
page |< < of 248 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002604">
                <pb pagenum="215" xlink:href="025/01/229.jpg"/>
              erit applicata, quæ ad locum Mediceæ quæſitum terminatur: vnde habeo
                <lb/>
              diſtantiam ab E Perigæo nempe ſit vt DF, ad applicatam juventam, ſcili­
                <lb/>
              cet 6048. ad 2016. ita hæc ad tertiam; certè vt erit DF ad illam tertiam,
                <lb/>
              id eſt, vt Quadratum 6048. ad Quadratum 2016. ita DE ad aliam, quæ
                <lb/>
              erit menſura diſtantiæ à Perigæo. </s>
            </p>
            <p type="main">
              <s id="s.002605">Si verò quotiens ſit major 4. & ſit v.g. 7. cum reſiduo 3000. ſubtra­
                <lb/>
              ctis 4. ex 7. ſuperſunt 3. & 3000. partes, aſſumendæ à puncto G in D, vt
                <lb/>
              habeatur locus Mediceæ quæſitus, ſi quotiens ſit 9. plus 5000. ſubtra­
                <lb/>
              ctis 4. ex 9, bis, ſupereſt 1. plus 5000. aſſumendæ ab F versùs D ; pro qui­
                <lb/>
              bus eodem modo quo ſupra calculus procedet: immò Gemina Parabola
                <lb/>
              AFEG in 12. Signa dividi poſſet, aſſumptis tamen gradibus æqualibus
                <lb/>
              in rectis FD, GD. eadem ratio facit pro aliis Mediceis, & hoc vnum
                <lb/>
              dumtaxat diſcrimen eſt, quod iſtæ minores Parabolas, concentricas tamen
                <lb/>
              majori deſcribant, & quod ſingularum diverſa ſit periodus maxima item
                <lb/>
              digreſſio diverſa. </s>
              <s id="s.002606">Ex dictis quædam deduco, & in certa capita diſtingo. </s>
            </p>
            <p type="main">
              <s id="s.002607">Primò, Diametri Iovis eadem ſemper menſura non eſt; hæc enim mi­
                <lb/>
              nor eſt, Iove ad Apogæum, major verò, ad Perigæum accedente, idque
                <lb/>
              ex communi Opticæ regula; propiora enim ſub majore angulo videntur;
                <lb/>
              hinc idem reticulum vtroque tempore adhibitum fallit. </s>
            </p>
            <p type="main">
              <s id="s.002608">Secundò, Hinc etiam maximæ digreſſionis menſura minor apparet,
                <lb/>
              Iove non procul ab Apogæo ſito, major verò, dum hic ad Perigæum
                <lb/>
              accedit, propter eandem rationem; hoc tamen non facit, vt ejuſdem Me­
                <lb/>
              diceæ maxima digreſſio modò plures, modò pauciores Iovis Diametros
                <lb/>
              contineat; creſcit enim & decreſcit vtraque proportionaliter. </s>
            </p>
            <p type="main">
              <s id="s.002609">Tertiò, Facit tamen altitudinis Planetæ differentia, vt tardiùs Iupiter in
                <lb/>
              circulo diurno moveri videatur, quando accedit ad Apogæum ; velociùs ve­
                <lb/>
              rò, ad Perigæum; quia idem ſpatium in majore circulo minorem arcum
                <lb/>
              continet, in minore, majorem. </s>
            </p>
            <p type="main">
              <s id="s.002610">Quartò, Methodus illa ſtatuendi veram diſtantiam Mediceæ à centro
                <lb/>
              Iovis, numeratis funependuli vibrationibus, ad definiendum tempus,
                <lb/>
              quo ſpatium interjectum decurritur, ex duplici capite fallit; primò quia
                <lb/>
              fortè omnes illæ vibrationes Iſochronæ non ſunt; ſecundò quia quò Iupi­
                <lb/>
              ter altior eſt, dato tempore, in circulo diurno, minorem arcum conficit; re­
                <lb/>
              ſtat igitur, prædictam diſtantiæ menſuram, adhibito reticulo, longè me­
                <lb/>
              liùs & accuratiùs conſtitui. </s>
            </p>
            <p type="main">
              <s id="s.002611">Quintò, Maxima Mediceæ digreſſio duobus modis à me ſtatuitur.
                <lb/>
              </s>
              <s id="s.002612">Primò dato motu diurno, data etiam ſpatiorum æqualium, hoc motu
                <lb/>
              confectorum juſta menſura; dato demum Mediceæ ad maximam digreſ­
                <lb/>
              ſionem proximè accedentis obſervato loco, puta in Y, ſeptima poſt Me­
                <lb/>
              ridiem hora, die ſequenti; eadem hora, dicta Medicea ſit in X ; divi­
                <lb/>
              datur YX, in P, tum aſſumpta PF æquali dimidiæ motus diurni men­
                <lb/>
              ſuræ; erit F maximæ digreſſionis quæſitus limes. </s>
              <s id="s.002613">Secundò obſervato
                <lb/>
              emerſionis ex vmbra projecta momento; v.g. ſit vmbra projecta DK,
                <lb/>
              & Medicea, vbi primùm emergit ex vmbra, videatur in M, habetur di­
                <lb/>
              ſtantia MD, quæ eſt baſis trianguli DK M, habetur etiam angulus DKM; </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum