Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/121.jpg" pagenum="93"/>
                  lum æqualem angulo
                    <emph type="italics"/>
                  BAD,
                    <emph.end type="italics"/>
                  ſecundum
                    <emph type="italics"/>
                  FTH
                    <emph.end type="italics"/>
                  capiat angulum æ­
                    <lb/>
                    <arrow.to.target n="note69"/>
                  qualem angulo
                    <emph type="italics"/>
                  CBD,
                    <emph.end type="italics"/>
                  ac tertium
                    <emph type="italics"/>
                  FVI
                    <emph.end type="italics"/>
                  capiat angulum æqualem
                    <lb/>
                  angulo
                    <emph type="italics"/>
                  ACE.
                    <emph.end type="italics"/>
                  Deſcribi autem debent ſegmenta ad eas partes li­
                    <lb/>
                  nearum
                    <emph type="italics"/>
                  FG, FH, FI,
                    <emph.end type="italics"/>
                  ut literarum
                    <emph type="italics"/>
                  FSGF
                    <emph.end type="italics"/>
                  idem ſit ordo circula­
                    <lb/>
                  ris qui literarum
                    <emph type="italics"/>
                  BADB,
                    <emph.end type="italics"/>
                  utque literæ
                    <emph type="italics"/>
                  FTHF
                    <emph.end type="italics"/>
                  eodem ordine cum
                    <lb/>
                  literis
                    <emph type="italics"/>
                  CBDC,
                    <emph.end type="italics"/>
                  & literæ
                    <emph type="italics"/>
                  FVIF
                    <emph.end type="italics"/>
                  eodem cum literis
                    <emph type="italics"/>
                  ACEA
                    <emph.end type="italics"/>
                  in or­
                    <lb/>
                  bem redeant. </s>
                  <s>Compleantur ſegmenta in circulos integros, ſitque
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                    <lb/>
                  centrum circuli primi
                    <emph type="italics"/>
                  FSG,
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  centrum ſecundi
                    <emph type="italics"/>
                  FTH.
                    <emph.end type="italics"/>
                  Jungatur
                    <lb/>
                  & utrinque producatur
                    <emph type="italics"/>
                  PQ,
                    <emph.end type="italics"/>
                  & in ea capiatur
                    <emph type="italics"/>
                  QR
                    <emph.end type="italics"/>
                  in ea ratione ad
                    <lb/>
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  quam habet
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AB.
                    <emph.end type="italics"/>
                  Capiatur autem
                    <emph type="italics"/>
                  QR
                    <emph.end type="italics"/>
                  ad eas partes
                    <lb/>
                  puncti
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  ut literarum
                    <emph type="italics"/>
                  P, Q, R
                    <emph.end type="italics"/>
                  idem ſit ordo atque literarum
                    <lb/>
                    <emph type="italics"/>
                  A, B, C:
                    <emph.end type="italics"/>
                  centroque
                    <emph type="italics"/>
                  R
                    <emph.end type="italics"/>
                  & intervallo
                    <emph type="italics"/>
                  RF
                    <emph.end type="italics"/>
                  deſcribatur circulus quartus
                    <lb/>
                    <emph type="italics"/>
                  FNc
                    <emph.end type="italics"/>
                  ſecans circulum tertium
                    <emph type="italics"/>
                  FVI
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  c.
                    <emph.end type="italics"/>
                  Jungatur
                    <emph type="italics"/>
                  Fc
                    <emph.end type="italics"/>
                  ſecans
                    <lb/>
                  circulum primum in
                    <emph type="italics"/>
                  a
                    <emph.end type="italics"/>
                  & ſecundum in
                    <emph type="italics"/>
                  b.
                    <emph.end type="italics"/>
                  Agantur
                    <emph type="italics"/>
                  a G, b H, c I,
                    <emph.end type="italics"/>
                  &
                    <lb/>
                  Figuræ
                    <emph type="italics"/>
                  abc FGHI
                    <emph.end type="italics"/>
                  ſimilis conſtituatur Figura
                    <emph type="italics"/>
                  ABCfghi:
                    <emph.end type="italics"/>
                  Eritque
                    <lb/>
                  Trapezium
                    <emph type="italics"/>
                  fghi
                    <emph.end type="italics"/>
                  illud ipſum quod conſtituere oportebat. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note69"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>Secent enim circuli duo primi
                    <emph type="italics"/>
                  FSG, FTH
                    <emph.end type="italics"/>
                  ſe mutuo in
                    <emph type="italics"/>
                  K.
                    <emph.end type="italics"/>
                    <lb/>
                  Jungantur
                    <emph type="italics"/>
                  PK, QK, RK, a K, b K, c K,
                    <emph.end type="italics"/>
                  & producatur
                    <emph type="italics"/>
                  QP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  L.
                    <emph.end type="italics"/>
                    <lb/>
                  Anguli ad circumferentias
                    <emph type="italics"/>
                  FaK, FbK, FcK
                    <emph.end type="italics"/>
                  ſunt ſemiſſes an­
                    <lb/>
                  gulorum
                    <emph type="italics"/>
                  FPK, FQK, FRK
                    <emph.end type="italics"/>
                  ad centra, adeoque angulorum
                    <lb/>
                  illorum dimidiis
                    <emph type="italics"/>
                  LPK, LQK, LRK
                    <emph.end type="italics"/>
                  æquales. </s>
                  <s>Eſt ergo Figura
                    <lb/>
                    <emph type="italics"/>
                  PQRK
                    <emph.end type="italics"/>
                  Figuræ
                    <emph type="italics"/>
                  abcK
                    <emph.end type="italics"/>
                  æquiangula & ſimilis, & propterea
                    <emph type="italics"/>
                  ab
                    <emph.end type="italics"/>
                  eſt
                    <lb/>
                  ad
                    <emph type="italics"/>
                  bc
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  PQ
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  QR,
                    <emph.end type="italics"/>
                  id eſt, ut
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BC.
                    <emph.end type="italics"/>
                  Angulis inſuper
                    <emph type="italics"/>
                  FaG,
                    <lb/>
                  FbH, FcI
                    <emph.end type="italics"/>
                  æquantur
                    <emph type="italics"/>
                  fAg, fBh, fCi
                    <emph.end type="italics"/>
                  per conſtructionem. </s>
                  <s>Er­
                    <lb/>
                  go Figuræ
                    <emph type="italics"/>
                  abcFGHI
                    <emph.end type="italics"/>
                  Figura ſimilis
                    <emph type="italics"/>
                  ABCfghi
                    <emph.end type="italics"/>
                  compleri poteſt
                    <lb/>
                  Quo facto Trapezium
                    <emph type="italics"/>
                  fghi
                    <emph.end type="italics"/>
                  conſtituetur ſimile Trapezio
                    <emph type="italics"/>
                  FGHI
                    <emph.end type="italics"/>
                    <lb/>
                  & angulis ſuis
                    <emph type="italics"/>
                  f, g, h, i
                    <emph.end type="italics"/>
                  tanget rectas
                    <emph type="italics"/>
                  ABC, AD, BD, CE
                    <lb/>
                  q.E.F.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  Hinc recta duci poteſt cujus partes, rectis quatuor poſi­
                    <lb/>
                  tione datis dato ordine interjectæ, datam habebunt proportionem
                    <lb/>
                  ad invicem. </s>
                  <s>Augeantur anguli
                    <emph type="italics"/>
                  FGH, GHI
                    <emph.end type="italics"/>
                  uſque eo, ut rectæ
                    <emph type="italics"/>
                  FG,
                    <lb/>
                  GH, HI
                    <emph.end type="italics"/>
                  in directum jaceant, & in hoc caſu conſtruendo Proble­
                    <lb/>
                  ma, ducetur recta
                    <emph type="italics"/>
                  fghi
                    <emph.end type="italics"/>
                  cujus partes
                    <emph type="italics"/>
                  fg, gh, hi,
                    <emph.end type="italics"/>
                  rectis quatuor po­
                    <lb/>
                  ſitione datis
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  AD, AD
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  BD, BD
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  CE
                    <emph.end type="italics"/>
                  interjectæ, e­
                    <lb/>
                  runt ad invicem ut lineæ
                    <emph type="italics"/>
                  FG, GH, HI,
                    <emph.end type="italics"/>
                  eundemque ſervabunt or­
                    <lb/>
                  dinem inter ſe. </s>
                  <s>Idem vero ſic fit expeditius. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
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