Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

< >
[Figure 131]
[Figure 132]
[Figure 133]
[Figure 134]
[Figure 135]
[Figure 136]
[Figure 137]
[Figure 138]
[Figure 139]
[Figure 140]
[Figure 141]
[Figure 142]
[Figure 143]
[Figure 144]
[Figure 145]
[Figure 146]
[Figure 147]
[Figure 148]
[Figure 149]
[Figure 150]
[Figure 151]
[Figure 152]
[Figure 153]
[Figure 154]
[Figure 155]
[Figure 156]
[Figure 157]
[Figure 158]
[Figure 159]
[Figure 160]
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/138.jpg" pagenum="110"/>
                    <arrow.to.target n="note86"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note86"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXVI. PROBLEMA XXV.
                    <emph.end type="center"/>
                  </s>
                </p>
                <figure id="id.039.01.138.1.jpg" xlink:href="039/01/138/1.jpg" number="85"/>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corporis de loco dato
                    <emph.end type="italics"/>
                  A
                    <emph type="italics"/>
                  cadentis determinare Tem­
                    <lb/>
                  pora deſcenſus.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Super diametro
                    <emph type="italics"/>
                  AS
                    <emph.end type="italics"/>
                  (diſtantia corporis a cen­
                    <lb/>
                  tro ſub initio) deſcribe Semicirculum
                    <emph type="italics"/>
                  ADS,
                    <emph.end type="italics"/>
                  ut &
                    <lb/>
                  huic æqualem Semicirculum
                    <emph type="italics"/>
                  OKH
                    <emph.end type="italics"/>
                  circa centrum
                    <lb/>
                    <emph type="italics"/>
                  S.
                    <emph.end type="italics"/>
                  De corporis loco quovis
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  erige ordinatim ap­
                    <lb/>
                  plicatam
                    <emph type="italics"/>
                  CD.
                    <emph.end type="italics"/>
                  Junge
                    <emph type="italics"/>
                  SD,
                    <emph.end type="italics"/>
                  & areæ
                    <emph type="italics"/>
                  ASD
                    <emph.end type="italics"/>
                  æqua­
                    <lb/>
                  lem conſtitue ſectorem
                    <emph type="italics"/>
                  OSK.
                    <emph.end type="italics"/>
                  Patet per Prop.
                    <lb/>
                  XXXV, quod corpus cadendo deſcribet ſpatium
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                    <lb/>
                  eodem Tempore quo corpus aliud uniformiter cir­
                    <lb/>
                  ca centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  gyrando, deſcribere poteſt arcum
                    <lb/>
                    <emph type="italics"/>
                  OK.
                    <expan abbr="q.">que</expan>
                  E. F.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XXXVII. PROBLEMA XXVI.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Corporis de loco dato ſurſum vel deorſum projecti definire Tempora
                    <lb/>
                  aſcenſus vel deſcenſus.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Exeat corpus de loco dato
                    <emph type="italics"/>
                  G
                    <emph.end type="italics"/>
                  ſecundum
                    <lb/>
                    <figure id="id.039.01.138.2.jpg" xlink:href="039/01/138/2.jpg" number="86"/>
                    <lb/>
                  lineam
                    <emph type="italics"/>
                  ASG
                    <emph.end type="italics"/>
                  cum velocitate quacunque. </s>
                  <s>
                    <lb/>
                  In duplicata ratione hujus velocitatis ad
                    <lb/>
                  uniformem in Circulo velocitatem, qua cor­
                    <lb/>
                  pus ad intervallum datum
                    <emph type="italics"/>
                  SG
                    <emph.end type="italics"/>
                  circa centrum
                    <lb/>
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  revolvi poſſet, cape
                    <emph type="italics"/>
                  GA
                    <emph.end type="italics"/>
                  ad 1/2
                    <emph type="italics"/>
                  AS.
                    <emph.end type="italics"/>
                    <lb/>
                  Si ratio illa eſt numeri binarii ad unita­
                    <lb/>
                  tem, punctum
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  infinite diſtat, quo ca­
                    <lb/>
                  ſu Parabola vertice
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  axe
                    <emph type="italics"/>
                  SC,
                    <emph.end type="italics"/>
                  latere quo­
                    <lb/>
                  vis recto deſcribenda eſt. </s>
                  <s>Patet hoc per
                    <lb/>
                  Prop. </s>
                  <s>XXXIV. </s>
                  <s>Sin ratio illa minor vel ma­
                    <lb/>
                  jor eſt quam 2 ad 1, priore caſu Circulus,
                    <lb/>
                  poſteriore Hyperbola rectangula ſuper di­
                    <lb/>
                  ametro
                    <emph type="italics"/>
                  SA
                    <emph.end type="italics"/>
                  deſcribi debet. </s>
                  <s>Patet per
                    <lb/>
                  Prop. </s>
                  <s>XXXIII. </s>
                  <s>Tum centro
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  intervallo
                    <lb/>
                  æquante dimidium lateris recti, deſcribatur
                    <lb/>
                  Circulus
                    <emph type="italics"/>
                  HKk,
                    <emph.end type="italics"/>
                  & ad corporis aſcenden­
                    <lb/>
                  tis vel deſcendentis loca duo quævis
                    <emph type="italics"/>
                  G, C,
                    <emph.end type="italics"/>
                    <lb/>
                  erigantur perpendicula
                    <emph type="italics"/>
                  GI, CD
                    <emph.end type="italics"/>
                  occurren­
                    <lb/>
                  tia Conicæ Sectioni vel Circulo in
                    <emph type="italics"/>
                  I
                    <emph.end type="italics"/>
                  ac
                    <emph type="italics"/>
                  D.
                    <emph.end type="italics"/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>