Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/117.jpg" pagenum="89"/>
                    <arrow.to.target n="note65"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note65"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  LEMMA XXVI.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Trianguli ſpecie & magnitudine dati tres angulos ad rectas tot­
                    <lb/>
                  idem poſitione datas, quæ non ſunt omnes parallelæ, ſingulos ad
                    <lb/>
                  ſingulas ponere.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Dantur poſitione tres rectæ infinitæ
                    <emph type="italics"/>
                  AB, AC, BC,
                    <emph.end type="italics"/>
                  & opor­
                    <lb/>
                  tet triangulum
                    <emph type="italics"/>
                  DEF
                    <emph.end type="italics"/>
                  ita locare, ut angulus ejus
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  lineam
                    <emph type="italics"/>
                  AB,
                    <emph.end type="italics"/>
                    <lb/>
                  angulus
                    <emph type="italics"/>
                  E
                    <emph.end type="italics"/>
                  lineam
                    <emph type="italics"/>
                  AC,
                    <emph.end type="italics"/>
                    <lb/>
                    <figure id="id.039.01.117.1.jpg" xlink:href="039/01/117/1.jpg" number="63"/>
                    <figure id="id.039.01.117.2.jpg" xlink:href="039/01/117/2.jpg" number="64"/>
                    <lb/>
                  & angulus
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  lineam
                    <lb/>
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  tangat. </s>
                  <s>Super
                    <emph type="italics"/>
                  DE,
                    <lb/>
                  DF
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  EF
                    <emph.end type="italics"/>
                  deſcribe
                    <lb/>
                  tria circulorum ſeg­
                    <lb/>
                  menta
                    <emph type="italics"/>
                  DRE, DGF,
                    <lb/>
                  EMF,
                    <emph.end type="italics"/>
                  quæ capiant
                    <lb/>
                  angulos angulis
                    <emph type="italics"/>
                  BAC,
                    <lb/>
                  ABC, ACB
                    <emph.end type="italics"/>
                  æquales
                    <lb/>
                  reſpective. </s>
                  <s>Deſcriban­
                    <lb/>
                  tur autem hæc ſegmen­
                    <lb/>
                  ta ad eas partes linea­
                    <lb/>
                  rum
                    <emph type="italics"/>
                  DE, DF, EF
                    <emph.end type="italics"/>
                  ut
                    <lb/>
                  literæ
                    <emph type="italics"/>
                  DRED
                    <emph.end type="italics"/>
                  eodem
                    <lb/>
                  ordine cum literis
                    <lb/>
                    <emph type="italics"/>
                  BACB,
                    <emph.end type="italics"/>
                  literæ
                    <emph type="italics"/>
                  DGFD
                    <emph.end type="italics"/>
                    <lb/>
                  eodem cum literis
                    <lb/>
                    <emph type="italics"/>
                  ABCA,
                    <emph.end type="italics"/>
                  & literæ
                    <lb/>
                    <emph type="italics"/>
                  EMFE
                    <emph.end type="italics"/>
                  eodem cum
                    <lb/>
                  literis
                    <emph type="italics"/>
                  ACBA
                    <emph.end type="italics"/>
                  in orbem
                    <lb/>
                  redeant; deinde com­
                    <lb/>
                  pleantur hæc ſegmenta
                    <lb/>
                  in circulos integros. </s>
                  <s>Se­
                    <lb/>
                  cent circuli duo prio­
                    <lb/>
                  res ſe mutuo in
                    <emph type="italics"/>
                  G,
                    <emph.end type="italics"/>
                  ſint­
                    <lb/>
                  que centra eorum
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  &
                    <lb/>
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                    <emph.end type="italics"/>
                  Junctis
                    <emph type="italics"/>
                  GP, PQ,
                    <emph.end type="italics"/>
                    <lb/>
                  cape
                    <emph type="italics"/>
                  Ga
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  ut eſt
                    <lb/>
                    <emph type="italics"/>
                  GP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PQ,
                    <emph.end type="italics"/>
                  & cen­
                    <lb/>
                  tro
                    <emph type="italics"/>
                  G,
                    <emph.end type="italics"/>
                  intervallo
                    <emph type="italics"/>
                  Ga
                    <emph.end type="italics"/>
                    <lb/>
                  deſcribe circulum, qui ſecet circulum primum
                    <emph type="italics"/>
                  DGE
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  a.
                    <emph.end type="italics"/>
                  Jungatur
                    <lb/>
                  tum
                    <emph type="italics"/>
                  aD
                    <emph.end type="italics"/>
                  ſecans circulum ſecundum
                    <emph type="italics"/>
                  DFG
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  b,
                    <emph.end type="italics"/>
                  tum
                    <emph type="italics"/>
                  aE
                    <emph.end type="italics"/>
                  ſecans cir-</s>
                </p>
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