Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/445.jpg" pagenum="417"/>
                    <emph type="italics"/>
                  ITXPGXAZ
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  ATcub,
                    <emph.end type="italics"/>
                  erit angulus
                    <emph type="italics"/>
                  GPg
                    <emph.end type="italics"/>
                  (ſeu Inclinationis
                    <lb/>
                    <arrow.to.target n="note446"/>
                  horaria Variatio) ad angulum 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  , ut
                    <emph type="italics"/>
                  ITXAZXTG
                    <lb/>
                  X(Pp/PG)
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  ATcub. </s>
                  <s>q.EI.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note446"/>
                  LIBER
                    <lb/>
                  TERTIUS.</s>
                </p>
                <p type="main">
                  <s>Hæc ita ſe habent ex Hypotheſi quod Luna in Orbe Circulari
                    <lb/>
                  uniformiter gyratur. </s>
                  <s>Quod ſi Orbis ille Ellipticus ſit, motus me­
                    <lb/>
                  diocris Nodorum minuetur in ratione axis minoris ad axem majo­
                    <lb/>
                  rem; uti ſupra expoſitum eſt. </s>
                  <s>Et in eadem ratione minuetur
                    <lb/>
                  etiam Inclinationis Variatio. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  1. Si ad
                    <emph type="italics"/>
                  Nn
                    <emph.end type="italics"/>
                  erigatur perpendiculum
                    <emph type="italics"/>
                  TF,
                    <emph.end type="italics"/>
                  ſitque
                    <emph type="italics"/>
                  pM
                    <emph.end type="italics"/>
                    <lb/>
                  motus horarius Lunæ in plano Eclipticæ; & perpendicula
                    <emph type="italics"/>
                  pK, Mk
                    <emph.end type="italics"/>
                    <lb/>
                  in
                    <emph type="italics"/>
                  QT
                    <emph.end type="italics"/>
                  demiſſa & utrinque producta occurrant
                    <emph type="italics"/>
                  TF
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  H
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  h
                    <emph.end type="italics"/>
                  :
                    <lb/>
                  erit
                    <emph type="italics"/>
                  IT
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AT
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  Kk
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Mp,
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  TG
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Hp
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  TZ
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AT;
                    <emph.end type="italics"/>
                    <lb/>
                  ideoque
                    <emph type="italics"/>
                  ITXTG
                    <emph.end type="italics"/>
                  æquale (
                    <emph type="italics"/>
                  KkXHpXTZ/Mp
                    <emph.end type="italics"/>
                  ), hoc eſt, æquale areæ
                    <lb/>
                    <emph type="italics"/>
                  HpMh
                    <emph.end type="italics"/>
                  ductæ in rationem (
                    <emph type="italics"/>
                  TZ/Mp
                    <emph.end type="italics"/>
                  ): & propterea Inclinationis Varia­
                    <lb/>
                  tio horaria ad 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  , ut
                    <emph type="italics"/>
                  HpMh
                    <emph.end type="italics"/>
                  ducta in
                    <emph type="italics"/>
                  AZX(TZ/Mp)X(Pp/PG)
                    <emph.end type="italics"/>
                    <lb/>
                  ad
                    <emph type="italics"/>
                  AT cub.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. Ideoque ſi Terra & Nodi ſingulis horis completis re­
                    <lb/>
                  traherentur à locis ſuis novis, & in loca priora in inſtanti ſemper
                    <lb/>
                  reducerentur, ut ſitus eorum, per menſem integrum periodicum,
                    <lb/>
                  datus maneret; tota Inclinationis Variatio tempore menſis illius
                    <lb/>
                  foret ad 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  , ut aggregatum omnium arearum
                    <emph type="italics"/>
                  Hp Mh,
                    <emph.end type="italics"/>
                    <lb/>
                  in revolutione puncti
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  genitarum, & ſub ſignis propriis + & ­
                    <lb/>
                  conjunctarum, ductum in
                    <emph type="italics"/>
                  AZXTZX(Pp/PG)
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  MpXAT cub.
                    <emph.end type="italics"/>
                  id
                    <lb/>
                  eſt, ut circulus totus
                    <emph type="italics"/>
                  QAqa
                    <emph.end type="italics"/>
                  ductus in
                    <emph type="italics"/>
                  AZXTZX(Pp/PG)
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  MpX
                    <lb/>
                  ATcub.
                    <emph.end type="italics"/>
                  hoc eſt, ut circumferentia
                    <emph type="italics"/>
                  QAqa
                    <emph.end type="italics"/>
                  ducta in
                    <emph type="italics"/>
                  AZXTZX(Pp/PG)
                    <emph.end type="italics"/>
                    <lb/>
                  ad 2
                    <emph type="italics"/>
                  MpXAT quad.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. Proinde in dato Nodorum ſitu, Variatio mediocris
                    <lb/>
                  horaria, ex qua per menſem uniformiter continuata Variatio illa
                    <lb/>
                  menſtrua generari poſſet, eſt ad 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  iv
                    <emph.end type="sup"/>
                  , ut
                    <emph type="italics"/>
                  AZXTZ
                    <lb/>
                  X(Pp/PG)
                    <emph.end type="italics"/>
                  ad 2
                    <emph type="italics"/>
                  ATq,
                    <emph.end type="italics"/>
                  ſive ut
                    <emph type="italics"/>
                  PpX(AZXTZ/1/2AT)
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  PGX4AT,
                    <emph.end type="italics"/>
                  id </s>
                </p>
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          </chap>
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