Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

< >
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/306.jpg" pagenum="278"/>
                    <arrow.to.target n="note254"/>
                  aream
                    <emph type="italics"/>
                  ILT
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  OQ
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  OC.
                    <emph.end type="italics"/>
                  Dein perpendiculo
                    <emph type="italics"/>
                  MN
                    <emph.end type="italics"/>
                  abſcindatur
                    <lb/>
                  area Hyperbolica
                    <emph type="italics"/>
                  PINM
                    <emph.end type="italics"/>
                  quæ ſit ad aream Hyperbolicam
                    <emph type="italics"/>
                  PIEQ
                    <emph.end type="italics"/>
                    <lb/>
                  ut arcus
                    <emph type="italics"/>
                  CZ
                    <emph.end type="italics"/>
                  ad arcum
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  deſcenſu deſcriptum. </s>
                  <s>Et ſi perpendicu­
                    <lb/>
                  lo
                    <emph type="italics"/>
                  RG
                    <emph.end type="italics"/>
                  abſcindatur area Hyperbolica
                    <emph type="italics"/>
                  PIGR,
                    <emph.end type="italics"/>
                  quæ ſit ad aream
                    <lb/>
                    <emph type="italics"/>
                  PIEQ
                    <emph.end type="italics"/>
                  ut arcus quilibet
                    <emph type="italics"/>
                  CD
                    <emph.end type="italics"/>
                  ad arcum
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  deſcenſu toto de­
                    <lb/>
                  ſcriptum: erit reſiſtentia in loco
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  ad vim gravitatis, ut area
                    <lb/>
                    <emph type="italics"/>
                  (OR/OQ)IEF-IGH
                    <emph.end type="italics"/>
                  ad aream
                    <emph type="italics"/>
                  PIENM.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note254"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Nam cum vires a gravitate oriundæ quibus corpus in locis
                    <emph type="italics"/>
                  Z, B, D,
                    <lb/>
                  a
                    <emph.end type="italics"/>
                  urgetur, ſint ut arcus
                    <emph type="italics"/>
                  CZ, CB, CD, Ca,
                    <emph.end type="italics"/>
                  & arcus illi ſint ut areæ
                    <lb/>
                    <emph type="italics"/>
                  PINM, PIEQ, PIGR, PITC
                    <emph.end type="italics"/>
                  ; exponantur tum arcus tum vi­
                    <lb/>
                  res per has areas reſpective. </s>
                  <s>Sit inſuper
                    <emph type="italics"/>
                  Dd
                    <emph.end type="italics"/>
                  ſpatium quam minimum
                    <lb/>
                  a corpore deſcendente deſcriptum, & exponatur idem per aream
                    <lb/>
                  quam minimam
                    <emph type="italics"/>
                  RGgr
                    <emph.end type="italics"/>
                  parallelis
                    <emph type="italics"/>
                  RG, rg
                    <emph.end type="italics"/>
                  comprehenſam; & pro­
                    <lb/>
                    <figure id="id.039.01.306.1.jpg" xlink:href="039/01/306/1.jpg" number="178"/>
                    <lb/>
                  ducatur
                    <emph type="italics"/>
                  rg
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  h,
                    <emph.end type="italics"/>
                  ut ſint
                    <emph type="italics"/>
                  GHhg,
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  RGgr
                    <emph.end type="italics"/>
                  contemporanea arearum
                    <lb/>
                    <emph type="italics"/>
                  IGH, PIGR
                    <emph.end type="italics"/>
                  decrementa. </s>
                  <s>Et areæ
                    <emph type="italics"/>
                  (OR/OQ)IEF-IGH
                    <emph.end type="italics"/>
                  incremen­
                    <lb/>
                  tum
                    <emph type="italics"/>
                  GHhg-(Rr/OQ)IEF,
                    <emph.end type="italics"/>
                  ſeu
                    <emph type="italics"/>
                  RrXHG-(Rr/OQ)IEF,
                    <emph.end type="italics"/>
                  erit ad areæ
                    <lb/>
                    <emph type="italics"/>
                  PIGR
                    <emph.end type="italics"/>
                  decrementum
                    <emph type="italics"/>
                  RGgr
                    <emph.end type="italics"/>
                  ſeu
                    <emph type="italics"/>
                  RrXRG,
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  HG-(IEF/OQ)
                    <emph.end type="italics"/>
                    <lb/>
                  ad
                    <emph type="italics"/>
                  RG
                    <emph.end type="italics"/>
                  ; adeoque ut
                    <emph type="italics"/>
                  ORXHG-(OR/OQ)IEF
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  ORXGR
                    <emph.end type="italics"/>
                  ſeu
                    <lb/>
                    <emph type="italics"/>
                  OPXPI,
                    <emph.end type="italics"/>
                  hoc eſt (ob æqualia
                    <emph type="italics"/>
                  ORXHG, ORXHR-ORXGR,
                    <lb/>
                  ORHK-OPIK, PIHR
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  FIGR+IGH
                    <emph.end type="italics"/>
                  ) ut
                    <emph type="italics"/>
                  PIGR+
                    <lb/>
                  IGH-(OR/OQ)IEF
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  OPIK.
                    <emph.end type="italics"/>
                  Igitur ſi area
                    <emph type="italics"/>
                  (OR/OQ)IEF-IGH
                    <emph.end type="italics"/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum