Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Page concordance

< >
Scan Original
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/147.jpg" pagenum="119"/>
                  lique aſcendere, Figura
                    <emph type="italics"/>
                  CVRS
                    <emph.end type="italics"/>
                  vel Hyperbola ſit vel Ellipſis, in­
                    <lb/>
                    <arrow.to.target n="note95"/>
                  veniri poteſt Trajectoria augendo vel minuendo angulum
                    <emph type="italics"/>
                  VCP
                    <emph.end type="italics"/>
                    <lb/>
                  in data aliqua ratione. </s>
                  <s>Sed &, Vi centripeta in centrifugam verſa,
                    <lb/>
                    <figure id="id.039.01.147.1.jpg" xlink:href="039/01/147/1.jpg" number="91"/>
                    <lb/>
                  aſcendet corpus obliQ.E.I. Trajectoria
                    <emph type="italics"/>
                  VPQ
                    <emph.end type="italics"/>
                  quæ invenitur capi­
                    <lb/>
                  endo angulum
                    <emph type="italics"/>
                  VCP
                    <emph.end type="italics"/>
                  Sectori Elliptico
                    <emph type="italics"/>
                  CVRC
                    <emph.end type="italics"/>
                  proportionalem, &
                    <lb/>
                  longitudinem
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                  longitudini
                    <emph type="italics"/>
                  CT
                    <emph.end type="italics"/>
                  æqualem ut ſupra. </s>
                  <s>Conſequun­
                    <lb/>
                  tur hæc omnia ex Propoſitione præcedente, per Curvæ cujuſdam
                    <lb/>
                  quadraturam, cujus inventionem, ut ſatis facilem, brevitatis gratia
                    <lb/>
                  miſſam facio. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note95"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XLII. PROBLEMA XXIX.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Data lege Vis centripetæ, requiritur motus corporis de loco dato
                    <lb/>
                  data cum Velocitate ſecundum datam rectam egreſſi.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Stantibus quæ in tribus Propoſitionibus præcedentibus: exeat
                    <lb/>
                  corpus de loco
                    <emph type="italics"/>
                  I
                    <emph.end type="italics"/>
                  ſecundum lineolam
                    <emph type="italics"/>
                  IT,
                    <emph.end type="italics"/>
                  ea cum Velocitate quam
                    <lb/>
                  corpus aliud, vi aliqua uniformi centripeta, de loco
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  cadendo ac­
                    <lb/>
                  quirere poſſet in
                    <emph type="italics"/>
                  D:
                    <emph.end type="italics"/>
                  ſitque hæc vis uniformis ad vim qua corpus </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum