Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/419.jpg" pagenum="391"/>
                  tertiam Lunarem, ideque maximo intervallo paulo poſt Octantes
                    <lb/>
                    <arrow.to.target n="note422"/>
                  Lunæ; & paribus intervallis æſtus maximus ſequetur horam ter­
                    <lb/>
                  tiam Lunatem in tranſitu Lunæ a Quadraturis ad Syzygias. </s>
                  <s>Hæc
                    <lb/>
                  ita ſunt in Mari aperto. </s>
                  <s>Nam in oſtiis Fluviorum fluxus majo­
                    <lb/>
                  res cæteris paribus tardius ad
                    <foreign lang="grc">ἀκμλὼ</foreign>
                  venient. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note422"/>
                  LIBER
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                  TERTIUS.</s>
                </p>
                <p type="main">
                  <s>Pendent autem effectus Luminarium ex eorum diſtantiis a Terra. </s>
                  <s>
                    <lb/>
                  In minoribus enim diſtantiis majores ſunt eorum effectus, in ma­
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                  joribus minores, idQ.E.I. triplicata ratione diametrorum appa­
                    <lb/>
                  rentium. </s>
                  <s>Igitur Sol tempore hyberno, in Perigæo exiſtens, ma­
                    <lb/>
                  jores edit effectus, efficitque ut æſtus in Syzygiis paulo majores
                    <lb/>
                  ſint, & in Quadraturis paulo minores (cæteris paribus) quam
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                  tempore æſtivo; & Luna in Perigæo ſingulis menſibus majores
                    <lb/>
                  ciet æſtus quam ante vel poſt dies quindecim, ubi in Apogæo ver­
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                  ſatur. </s>
                  <s>Vnde fit ut æſtus duo omnino maximi in Syzygiis con­
                    <lb/>
                  tinuis ſe mutuo non ſequantur. </s>
                </p>
                <p type="main">
                  <s>Pendet etiam effectus utriuſque Luminaris ex ipſius Declina­
                    <lb/>
                  tione ſeu diſtautia ab Æquatore. </s>
                  <s>Nam ſi Luminare in polo con­
                    <lb/>
                  ſtitueretur, traheret illud ſingulas aquæ partes conſtanter, abſque
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                  actionis intenſione & remiſſione, adeoque nullam motus recipro­
                    <lb/>
                  cationem cieret. </s>
                  <s>Igitur Luminaria recedendo ab æquatore polum
                    <lb/>
                  verſus, effectus ſuos gradatim amittent, & propterea minores cie­
                    <lb/>
                  bunt æſtus in Syzygiis Solſtitialibus quam in Æquinoctialibus. </s>
                  <s>
                    <lb/>
                  In Quadraturis autem Solſtitialibus majores ciebunt æſtus quam
                    <lb/>
                  in Quadraturis Æquinoctialibus; eo quod Lunæ jam in æquatore
                    <lb/>
                  conſtitutæ effectus maxime ſuperat effectum Solis Incidunt igi­
                    <lb/>
                  tur æſtus maximi in Syzygias & minimi in Quadraturas Lumina­
                    <lb/>
                  rium, circa tempora Æquinoctii utriuſque. </s>
                  <s>Et æſtum maximum
                    <lb/>
                  in Syzygiis comitatur ſemper minimus in Quadraturis, ut experi­
                    <lb/>
                  entia compertum eſt. </s>
                  <s>Per minorem autem diſtantiam Solis a
                    <lb/>
                  Terra, tempore hyberno quam tempore æſtivo, fit ut æſtus ma­
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                  ximi & minimi ſæpius præcedant Æquinoctium vernum quam
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                  ſequantur, & ſæpius ſequantur autumnale quam præcedant. </s>
                </p>
                <p type="main">
                  <s>Pendent etiam effectus Luminarium ex loeorum latitudine. </s>
                  <s>De­
                    <lb/>
                  ſignet
                    <emph type="italics"/>
                  ApEP
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                  Tellurem aquis profundis undique coopertam;
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                    <lb/>
                  centrum ejus;
                    <emph type="italics"/>
                  P, p
                    <emph.end type="italics"/>
                  polos,
                    <emph type="italics"/>
                  AE
                    <emph.end type="italics"/>
                  Æquatorem;
                    <emph type="italics"/>
                  F
                    <emph.end type="italics"/>
                  locum quemvis
                    <lb/>
                  extra Æquatorem;
                    <emph type="italics"/>
                  Ff
                    <emph.end type="italics"/>
                  parallelum loci;
                    <emph type="italics"/>
                  Dd
                    <emph.end type="italics"/>
                  parallelum ei re­
                    <lb/>
                  ſpondentem ex altera parte æquatoris;
                    <emph type="italics"/>
                  L
                    <emph.end type="italics"/>
                  locum quem Luna tri­
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                  bus ante horis occupabat;
                    <emph type="italics"/>
                  H
                    <emph.end type="italics"/>
                  locum Telluris ei perpendiculariter </s>
                </p>
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