Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
101
101 		102
102
103
103 		104
104
105
105 		106
106
107
107 		108
108
109
109 		110
110
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/106.jpg" pagenum="78"/>
                    <arrow.to.target n="note54"/>
                  tique occurrentibus in
                    <emph type="italics"/>
                  H
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  I.
                    <emph.end type="italics"/>
                  Secetur tangens in
                    <emph type="italics"/>
                  A,
                    <emph.end type="italics"/>
                  ita ut ſit
                    <lb/>
                    <emph type="italics"/>
                  HA
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AI,
                    <emph.end type="italics"/>
                  ut eſt rectan­
                    <lb/>
                    <figure id="id.039.01.106.1.jpg" xlink:href="039/01/106/1.jpg" number="52"/>
                    <lb/>
                  gulum ſub media proportio­
                    <lb/>
                  nali inter
                    <emph type="italics"/>
                  CG
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  GP
                    <emph.end type="italics"/>
                  & me­
                    <lb/>
                  dia proportionali inter
                    <emph type="italics"/>
                  BH
                    <emph.end type="italics"/>
                  &
                    <lb/>
                    <emph type="italics"/>
                  HD,
                    <emph.end type="italics"/>
                  ad rectangulum ſub me­
                    <lb/>
                  dia proportionali inter
                    <emph type="italics"/>
                  DG
                    <emph.end type="italics"/>
                  &
                    <lb/>
                    <emph type="italics"/>
                  GB
                    <emph.end type="italics"/>
                  & media proportionali in­
                    <lb/>
                  ter
                    <emph type="italics"/>
                  PI
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  IC
                    <emph.end type="italics"/>
                  ; & erit
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  punc­
                    <lb/>
                  tum contactus. </s>
                  <s>Nam ſi rectæ
                    <lb/>
                    <emph type="italics"/>
                  PI
                    <emph.end type="italics"/>
                  parallela
                    <emph type="italics"/>
                  HX
                    <emph.end type="italics"/>
                  Trajecto­
                    <lb/>
                  riam ſecet in punctis quibuſ­
                    <lb/>
                  vis
                    <emph type="italics"/>
                  X
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Y:
                    <emph.end type="italics"/>
                  erit (ex Conicis)
                    <lb/>
                  punctum
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  ita locandum, ut fuerit
                    <emph type="italics"/>
                  HA quad.
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AI quad.
                    <emph.end type="italics"/>
                  in ra­
                    <lb/>
                  tione compoſita ex ratione rectanguli
                    <emph type="italics"/>
                  XHY
                    <emph.end type="italics"/>
                  ad rectangulum
                    <emph type="italics"/>
                  BHD
                    <emph.end type="italics"/>
                    <lb/>
                  ſeu rectanguli
                    <emph type="italics"/>
                  CGP
                    <emph.end type="italics"/>
                  ad rectangulum
                    <emph type="italics"/>
                  DGB
                    <emph.end type="italics"/>
                  & ex ratione rectan­
                    <lb/>
                  guli
                    <emph type="italics"/>
                  BHD
                    <emph.end type="italics"/>
                  ad rectangulum
                    <emph type="italics"/>
                  PIC.
                    <emph.end type="italics"/>
                  Invento autem contactus
                    <lb/>
                  puncto
                    <emph type="italics"/>
                  A,
                    <emph.end type="italics"/>
                  deſcribetur Trajectoria ut in caſu primo.
                    <emph type="italics"/>
                  q.E.F.
                    <emph.end type="italics"/>
                    <lb/>
                  Capi autem poteſt punctum
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  vel inter puncta
                    <emph type="italics"/>
                  H
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  I,
                    <emph.end type="italics"/>
                  vel extra;
                    <lb/>
                  & perinde Trajectoria dupliciter deſcribi. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note54"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXIV. PROBLEMA XVI.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Trajectoriam deſcribere quæ tranſibit per data tria puncta & rectas
                    <lb/>
                  duas poſitione datas continget.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Dentur tangentes
                    <emph type="italics"/>
                  HI, KL
                    <emph.end type="italics"/>
                  &
                    <lb/>
                    <figure id="id.039.01.106.2.jpg" xlink:href="039/01/106/2.jpg" number="53"/>
                    <lb/>
                  puncta
                    <emph type="italics"/>
                  B, C, D.
                    <emph.end type="italics"/>
                  Per punctorum
                    <lb/>
                  duo quævis
                    <emph type="italics"/>
                  B, D
                    <emph.end type="italics"/>
                  age rectam in­
                    <lb/>
                  finitam
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  tangentibus occur­
                    <lb/>
                  rentem in punctis
                    <emph type="italics"/>
                  H, K.
                    <emph.end type="italics"/>
                  Deinde
                    <lb/>
                  etiam per alia duo quævis
                    <emph type="italics"/>
                  C, D
                    <emph.end type="italics"/>
                    <lb/>
                  age infinitam
                    <emph type="italics"/>
                  CD
                    <emph.end type="italics"/>
                  tangentibus oc­
                    <lb/>
                  currentem in punctis
                    <emph type="italics"/>
                  I, L.
                    <emph.end type="italics"/>
                  Actas
                    <lb/>
                  ita ſeca in
                    <emph type="italics"/>
                  R
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  ut ſit
                    <emph type="italics"/>
                  HR
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <emph type="italics"/>
                  KR
                    <emph.end type="italics"/>
                  ut eſt media proportionalis
                    <lb/>
                  inter
                    <emph type="italics"/>
                  BH
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  HD
                    <emph.end type="italics"/>
                  ad mediam
                    <lb/>
                  proportionalem inter
                    <emph type="italics"/>
                  BK
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  KD
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  &
                    <emph type="italics"/>
                  IS
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  LS
                    <emph.end type="italics"/>
                  ut eſt media pro­
                    <lb/>
                  portionalis inter
                    <emph type="italics"/>
                  CI
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  ID
                    <emph.end type="italics"/>
                  ad me­
                    <lb/>
                  diam proportionalem inter
                    <emph type="italics"/>
                  CL
                    <emph.end type="italics"/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum