Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

< >
[Figure 181]
Page: 326
[Figure 182]
Page: 327
[Figure 183]
Page: 328
[Figure 184]
Page: 330
[Figure 185]
Page: 331
[Figure 186]
Page: 333
[Figure 187]
Page: 334
[Figure 188]
Page: 336
[Figure 189]
Page: 338
[Figure 190]
Page: 341
[Figure 191]
Page: 342
[Figure 192]
Page: 357
[Figure 193]
Page: 358
[Figure 194]
Page: 360
[Figure 195]
Page: 363
[Figure 196]
Page: 365
[Figure 197]
Page: 365
[Figure 198]
Page: 366
[Figure 199]
Page: 366
[Figure 200]
Page: 373
[Figure 201]
Page: 374
[Figure 202]
Page: 383
[Figure 203]
Page: 407
[Figure 204]
Page: 408
[Figure 205]
Page: 420
[Figure 206]
Page: 422
[Figure 207]
Page: 424
[Figure 208]
Page: 427
[Figure 209]
Page: 428
[Figure 210]
Page: 430
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/424.jpg" pagenum="396"/>
                    <arrow.to.target n="note425"/>
                  ad mediocrem ſuam quantitatem
                    <emph type="italics"/>
                  TP,
                    <emph.end type="italics"/>
                  ut & vis
                    <emph type="italics"/>
                  TM
                    <emph.end type="italics"/>
                  ad medio­
                    <lb/>
                  crem ſuam quantitatem 3
                    <emph type="italics"/>
                  PK.
                    <emph.end type="italics"/>
                  Hæ vires, per Legum Corol. </s>
                  <s>2.
                    <lb/>
                  componunt vim
                    <emph type="italics"/>
                  TL
                    <emph.end type="italics"/>
                  ; & hæc vis, ſi in radium
                    <emph type="italics"/>
                  TP
                    <emph.end type="italics"/>
                  demittatur
                    <lb/>
                  perpendiculum
                    <emph type="italics"/>
                  LE,
                    <emph.end type="italics"/>
                  reſolvitur in vires
                    <emph type="italics"/>
                  TE, EL,
                    <emph.end type="italics"/>
                  quarum
                    <emph type="italics"/>
                  TE,
                    <emph.end type="italics"/>
                    <lb/>
                  agendo ſemper ſecundum radium
                    <emph type="italics"/>
                  TP,
                    <emph.end type="italics"/>
                  nec accelerat nec retardat
                    <lb/>
                  deſcriptionem areæ
                    <emph type="italics"/>
                  TPC
                    <emph.end type="italics"/>
                  radio illo
                    <emph type="italics"/>
                  TP
                    <emph.end type="italics"/>
                  factam; &
                    <emph type="italics"/>
                  EL
                    <emph.end type="italics"/>
                  agendo
                    <lb/>
                  ſecundum perpendiculum, accelerat vel retardat ipſam, quan­
                    <lb/>
                  tum accelerat vel retardat Lunam. </s>
                  <s>Acceleratio illa Lunæ, in
                    <lb/>
                  tranſitu ipſius a Quadratura
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  ad Conjunctionem
                    <emph type="italics"/>
                  A,
                    <emph.end type="italics"/>
                  ſingulis
                    <lb/>
                  temporis momentis facta, eſt ut ipſa vis accelerans
                    <emph type="italics"/>
                  EL,
                    <emph.end type="italics"/>
                  hoc eſt,
                    <lb/>
                  ut (
                    <emph type="italics"/>
                  3PKXTK/TP
                    <emph.end type="italics"/>
                  ). Exponatur tempus per motum medium Luna­
                    <lb/>
                  rem, vel (quod eodem fere recidit) per angulum
                    <emph type="italics"/>
                  CTP,
                    <emph.end type="italics"/>
                  vel
                    <lb/>
                    <figure id="id.039.01.424.1.jpg" xlink:href="039/01/424/1.jpg" number="207"/>
                  etiam per arcum
                    <emph type="italics"/>
                  CP.
                    <emph.end type="italics"/>
                  Ad
                    <emph type="italics"/>
                  CT
                    <emph.end type="italics"/>
                  erigatur normalis
                    <emph type="italics"/>
                  CG
                    <emph.end type="italics"/>
                  ipſi
                    <emph type="italics"/>
                  CT
                    <emph.end type="italics"/>
                    <lb/>
                  æqualis. </s>
                  <s>Et diviſo arcu quadrantali
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  in particulas innumeras
                    <lb/>
                  æquales
                    <emph type="italics"/>
                  Pp,
                    <emph.end type="italics"/>
                  &c. </s>
                  <s>per quas æquales totidem particulæ temporis
                    <lb/>
                  exponi poſſint, ductaque
                    <emph type="italics"/>
                  pk
                    <emph.end type="italics"/>
                  perpendiculari ad
                    <emph type="italics"/>
                  CT,
                    <emph.end type="italics"/>
                  jungatur
                    <lb/>
                    <emph type="italics"/>
                  TG
                    <emph.end type="italics"/>
                  ipſis
                    <emph type="italics"/>
                  KP, kp
                    <emph.end type="italics"/>
                  productis occurrens in
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  f
                    <emph.end type="italics"/>
                  ; & erit
                    <emph type="italics"/>
                  Kk
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <emph type="italics"/>
                  PK
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  Pp
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Tp,
                    <emph.end type="italics"/>
                  hoc eſt in data ratione, adeoque
                    <emph type="italics"/>
                  FKXKk
                    <emph.end type="italics"/>
                    <lb/>
                  ſeu area
                    <emph type="italics"/>
                  FKkf,
                    <emph.end type="italics"/>
                  ut (
                    <emph type="italics"/>
                  3PKXTK/TP
                    <emph.end type="italics"/>
                  ), id eſt, ut
                    <emph type="italics"/>
                  EL
                    <emph.end type="italics"/>
                  ; & compoſite,
                    <lb/>
                  area tota
                    <emph type="italics"/>
                  GCKF
                    <emph.end type="italics"/>
                  ut ſumma omnium virium
                    <emph type="italics"/>
                  EL
                    <emph.end type="italics"/>
                  tempore toto
                    <lb/>
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                  impreſſarum in Lunam, atque adeo etiam ut velocitas hac </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum