Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/418.jpg" pagenum="390"/>
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                  rum, ad motus Nodorum & Apogæi Lunæ tempore unius revo­
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                  lutionis æquationum poſteriorum. </s>
                  <s>Variatio Satellitis è Jove ſpe­
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                  ctati, eſt ad Variationem Lunæ, ut ſunt ad invicem toti motus No­
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                  dorum temporibus quibus Satelles & Luna ad Solem revolvuntur,
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                  per idem Corollarium; adeoQ.E.I. Satellite extimo non ſuperat
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                  5″. </s>
                  <s>12′. </s>
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                  DE MUNDI
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                  SYSTEMATE</s>
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                  PROPOSITIO XXIV. THEOREMA XIX.
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                  Fluxum & refluxum Maris ab actionibus Solis ac
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                  Lunæ oriri.
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                    <emph.end type="center"/>
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                  <s>Mare ſingulis diebus tam Lunaribus quam Solaribus bis intu­
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                  meſcere debere ac bis defluere, patet per Corol. </s>
                  <s>19. Prop. </s>
                  <s>LXVI.
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                  Lib.I. ut & aquæ maximam altitudinem, in maribus profundis
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                  & liberis, appulſum Luminarium ad Meridianum loci, minori
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                  quam ſex horarum ſpatio ſequi, uti fit in Maris
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                  Atlantici
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                  &
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                    <emph type="italics"/>
                  Æthiopici
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                  tractu toto orientali inter
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                  Galliam
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                  & Promontorium
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                    <emph type="italics"/>
                  Bonæ Spei,
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                  ut & in Maris
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                  Pacifici
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                  littore
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                  Chilenſt
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                  &
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                  Peruviano
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                  :
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                  in quibus omnibus littoribus æſtus in horam circiter tertiam in­
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                  cidit, niſi ubi motus per loca vadoſa propagatus aliquantulum re­
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                  tardatur. </s>
                  <s>Horas numero ab appulſu Luminaris utriuſque ad Me­
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                  ridianum loci, tam infra Horizontem quam ſupra, & per horas
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                  diei Lunaris intelligo vigeſimas quartas partes temporis quo Luna
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                  motu apparente diurno ad Meridianum loci revolvitur. </s>
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                  <s>Motus autem bini, quos Luminaria duo excitant, non cernen­
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                  tur diſtincte, ſed motum Q.E.D.m mixtum efficient. </s>
                  <s>In Lumina­
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                  rium Conjunctione vel Oppoſitione conjungentur eorum effectus,
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                  & componetur fluxus & refluxus maximus. </s>
                  <s>In Quadraturis Sol
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                  attollet aquam ubi Luna deprimit, deprimetque ubi Sol attollit;
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                  & ex effectuum differentia æſtus omnium minimus orietur. </s>
                  <s>Et
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                  quoniam, experientia teſte, major eſt effectus Lunæ quam Solis,
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                  incidet aquæ maxima altitudo in horam tertiam Lunarem. </s>
                  <s>Ex­
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                  tra Syzygias & Quadraturas, æſtus maximus qui ſola vi Lunari
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                  incidere ſemper deberet in horam tertiam Lunarem, & ſola Solari
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                  in tertiam Solarem, compoſitis viribus incidet in tempus aliquod
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                  intermedium quod tertiæ Lunari propinquius eſt; adeoQ.E.I.
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                  tranſitu Lunæ a Syzygiis ad Quadraturas, ubi hora tertia Solaris
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                  præcedit tertiam Lunarem, maxima aquæ altitudo præcedet etiam </s>
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