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="039/01/366.jpg" pagenum="338"/>
                    <arrow.to.target n="note346"/>
                  in
                    <foreign lang="grc">ε. </foreign>
                  </s>
                  <s>Hac lege punctum quodvis
                    <emph type="italics"/>
                  E,
                    <emph.end type="italics"/>
                  eundo ab
                    <emph type="italics"/>
                  E
                    <emph.end type="italics"/>
                    <lb/>
                    <figure id="id.039.01.366.1.jpg" xlink:href="039/01/366/1.jpg" number="198"/>
                    <lb/>
                  per
                    <foreign lang="grc">ε</foreign>
                  ad
                    <emph type="italics"/>
                  e,
                    <emph.end type="italics"/>
                  & inde redeundo per
                    <foreign lang="grc">ε</foreign>
                  ad
                    <emph type="italics"/>
                  E,
                    <emph.end type="italics"/>
                  iiſdem
                    <lb/>
                  accelerationis ac retardationis gradibus vibratio­
                    <lb/>
                  nes ſingulas peraget cum oſcillante Pendulo. </s>
                  <s>Pro­
                    <lb/>
                  bandum eſt quod ſingula Medii puncta Phyſica
                    <lb/>
                  tali motu agitari debeant. </s>
                  <s>Fingamus igitur Me­
                    <lb/>
                  dium tali motu a cauſa quacunque cieri, & videa­
                    <lb/>
                  mus quid inde ſequatur. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note346"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>In circumferentia
                    <emph type="italics"/>
                  PHSh
                    <emph.end type="italics"/>
                  capiantur æquales ar­
                    <lb/>
                  cus
                    <emph type="italics"/>
                  HI, IK
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  hi, ik,
                    <emph.end type="italics"/>
                  eam habentes rationem
                    <lb/>
                  ad circumferentiam totam quam habent æquales
                    <lb/>
                  rectæ
                    <emph type="italics"/>
                  EF, FG
                    <emph.end type="italics"/>
                  ad pulſuum intervallum totum
                    <lb/>
                    <emph type="italics"/>
                  BC.
                    <emph.end type="italics"/>
                  Et demiſſis perpendiculis
                    <emph type="italics"/>
                  IM, KN
                    <emph.end type="italics"/>
                  vel
                    <lb/>
                    <emph type="italics"/>
                  im, kn
                    <emph.end type="italics"/>
                  ; quoniam puncta
                    <emph type="italics"/>
                  E, F, G
                    <emph.end type="italics"/>
                  motibus ſimili­
                    <lb/>
                  bus ſucceſſive agitantur, & vibrationes ſuas integras
                    <lb/>
                  ex itu & reditu compoſitas interea peragunt dum
                    <lb/>
                    <figure id="id.039.01.366.2.jpg" xlink:href="039/01/366/2.jpg" number="199"/>
                    <lb/>
                  pulſus transfertur a
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  ſi
                    <emph type="italics"/>
                  PH
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  PHSh
                    <emph.end type="italics"/>
                  ſit tem­
                    <lb/>
                  pus ab initio motus puncti
                    <lb/>
                    <emph type="italics"/>
                  E,
                    <emph.end type="italics"/>
                  erit
                    <emph type="italics"/>
                  PI
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  PHSi
                    <emph.end type="italics"/>
                  tem­
                    <lb/>
                  pus ab initio motus puncti
                    <lb/>
                    <emph type="italics"/>
                  F,
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  PK
                    <emph.end type="italics"/>
                  vel
                    <emph type="italics"/>
                  PHSk
                    <emph.end type="italics"/>
                  tem­
                    <lb/>
                  pus ab initio motus puncti
                    <lb/>
                    <emph type="italics"/>
                  G
                    <emph.end type="italics"/>
                  ; & propterea
                    <emph type="italics"/>
                  E
                    <foreign lang="grc">ε</foreign>
                  , F
                    <foreign lang="grc">φ</foreign>
                  ,
                    <lb/>
                  G
                    <emph.end type="italics"/>
                    <foreign lang="grc">γ</foreign>
                  erunt ipſis
                    <emph type="italics"/>
                  PL, PM,
                    <lb/>
                  PN
                    <emph.end type="italics"/>
                  in itu punctorum, vel
                    <lb/>
                  ipſis
                    <emph type="italics"/>
                  Pl, Pm, Pn
                    <emph.end type="italics"/>
                  in punctorum reditu, æqua­
                    <lb/>
                  les reſpective. </s>
                  <s>Unde
                    <foreign lang="grc">εγ</foreign>
                  ſeu
                    <emph type="italics"/>
                  EG+G
                    <foreign lang="grc">γ</foreign>
                  -E
                    <emph.end type="italics"/>
                    <foreign lang="grc">ε</foreign>
                    <lb/>
                  in itu punctorum æqualis erit
                    <emph type="italics"/>
                  EG-LN,
                    <emph.end type="italics"/>
                  in re­
                    <lb/>
                  ditu autem æqualis
                    <emph type="italics"/>
                  EG+ln.
                    <emph.end type="italics"/>
                  Sed
                    <foreign lang="grc">εγ</foreign>
                  latitudo eſt
                    <lb/>
                  ſeu expanſio partis Medii
                    <emph type="italics"/>
                  EG
                    <emph.end type="italics"/>
                  in loco
                    <foreign lang="grc">εγ</foreign>
                  ; &
                    <lb/>
                  propterea expanſio partis illius in itu, eſt ad ejus
                    <lb/>
                  expanſionem mediocrem, ut
                    <emph type="italics"/>
                  EG-LN
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  EG
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  in reditu autem ut
                    <emph type="italics"/>
                  EG+ln
                    <emph.end type="italics"/>
                  ſeu
                    <emph type="italics"/>
                  EG+LN
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <emph type="italics"/>
                  EG.
                    <emph.end type="italics"/>
                  Quare cum ſit
                    <emph type="italics"/>
                  LN
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  KH
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  IM
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                  radium
                    <emph type="italics"/>
                  OP,
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  KH
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  EG
                    <emph.end type="italics"/>
                  ut circumferentia
                    <lb/>
                    <emph type="italics"/>
                  PHShP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BC,
                    <emph.end type="italics"/>
                  id eſt (ſi ponatur V pro ra­
                    <lb/>
                  dio circuli circumferentiam habentis æqualem in­
                    <lb/>
                  tervallo pulſuum
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  ) ut
                    <emph type="italics"/>
                  OP
                    <emph.end type="italics"/>
                  ad V; & ex æ­
                    <lb/>
                  quo
                    <emph type="italics"/>
                  LN
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  EG,
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  IM
                    <emph.end type="italics"/>
                  ad V: erit expanſio
                    <lb/>
                  partis
                    <emph type="italics"/>
                  EG
                    <emph.end type="italics"/>
                  punctive Phyſici
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  in loco
                    <foreign lang="grc">εγ</foreign>
                  , ad ex-</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum