Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/448.jpg" pagenum="420"/>
                    <arrow.to.target n="note449"/>
                  arcum
                    <emph type="italics"/>
                  Gg
                    <emph.end type="italics"/>
                  ; id eſt, ut diameter
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  ad ſemicircum ferentiam
                    <lb/>
                    <emph type="italics"/>
                  BGD
                    <emph.end type="italics"/>
                  & tempus horarum (2079 1/10), quo Nodus pergit à Quadra­
                    <lb/>
                  turis ad Syzygias, ad horam unam conjunctim; hoc eſt, ut 7 ad
                    <lb/>
                  11 & (2079 7/10) ad 1. Quare ſi rationes omnes conjungantur, fiet
                    <lb/>
                  Variatio tota
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  ad 33″. </s>
                  <s>10′. </s>
                  <s>33
                    <emph type="sup"/>
                  ix
                    <emph.end type="sup"/>
                  ut 224X7X2079 (7/10) ad
                    <lb/>
                  110000, id eſt, ut 29645 ad 1000, & inde Variatio illa
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                    <lb/>
                  prodibit 16′. </s>
                  <s>23″ 1/2. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note449"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>Hæc eſt Inclinationis Variatio maxima quatenus locus Lunæ in
                    <lb/>
                  Orbe ſuo non conſideratur. </s>
                  <s>Nam Inclinatio, ſi Nodi in Syzygiis
                    <lb/>
                  verſantur, nil mutatur ex vario ſitu Lunæ. </s>
                  <s>At ſi Nodi in Qua­
                    <lb/>
                  draturis conſiſtunt, Inclinatio minor eſt ubi Luna verſatur in Sy­
                    <lb/>
                  zygiis, quam ubi ea verſatur in Quadraturis, exceſſu 2′. </s>
                  <s>43″; uti
                    <lb/>
                  in Propoſitionis ſuperioris Corollario quarto indicavimus. </s>
                  <s>Et
                    <lb/>
                  hujus exceſſus dimidio 1′. </s>
                  <s>21″ 1/2. Variatio tota mediocris
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  in
                    <lb/>
                  Quadraturis Lunaribus diminuta fit 15′, 2″, in ipſius autem Syzy­
                    <lb/>
                  giis aucta fit 17′. </s>
                  <s>45″. </s>
                  <s>Si Luna igitur in Syzygiis conſtituatur,
                    <lb/>
                  Variatio tota, in tranſitu Nodorum à Quadraturis ad Syzygias,
                    <lb/>
                  erit 17′. </s>
                  <s>45″: adeoque ſi Inclinatio, ubi Nodi in Syzygiis verſan­
                    <lb/>
                  tur, ſit 5
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  17′. </s>
                  <s>20″; eadem, ubi Nodi ſunt in Quadraturis, &
                    <lb/>
                  Luna in Syzygiis, erit 4
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  59′. </s>
                  <s>35″. </s>
                  <s>Atque hæc ita ſe habere
                    <lb/>
                  confirmatur ex Obſervationibus. </s>
                </p>
                <figure id="id.039.01.448.1.jpg" xlink:href="039/01/448/1.jpg" number="219"/>
                <p type="main">
                  <s>Si jam deſideretur Orbis Inclinatio illa, ubi Luna in Syzygiis
                    <lb/>
                  & Nodi ubivis verſantur; fiat
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AD
                    <emph.end type="italics"/>
                  ut ſinus graduum 4.
                    <lb/>
                  59′. </s>
                  <s>35″ ad ſinum graduum 5. </s>
                  <s>17′, 20″, & capiatur angulus
                    <emph type="italics"/>
                  AEG
                    <emph.end type="italics"/>
                    <lb/>
                  æqualis duplicatæ diſtantiæ Nodorum à Quadraturis; & erit
                    <emph type="italics"/>
                  AH
                    <emph.end type="italics"/>
                    <lb/>
                  ſinus Inclinationis quæſitæ. </s>
                  <s>Huic Orbis Inclinationi æqualis eſt
                    <lb/>
                  ejuſdem Inclinatio, ubi Luna diſtat 90
                    <emph type="sup"/>
                  gr.
                    <emph.end type="sup"/>
                  à Nodis. </s>
                  <s>In aliis Lunæ
                    <lb/>
                  locis inæqualitas menſtrua, quam Inclinationis variatio admittit,
                    <lb/>
                  in calculo Latitudinis Lunæ compenſatur & quodammodo tolli­
                    <lb/>
                  tur per inæqualitatem menſtruam motus Nodorum, (ut ſupra dixi­
                    <lb/>
                  mus) adeoQ.E.I. calculo Latitudinis illius negligi poteſt. </s>
                </p>
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