Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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rum, ad motus Nodorum & Apogæi Lunæ tempore unius revo
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lutionis æquationum poſteriorum. </
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<
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>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″. </
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>12′. </
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DE MUNDI
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SYSTEMATE</
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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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<
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>Mare ſingulis diebus tam Lunaribus quam Solaribus bis intu
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meſcere debere ac bis defluere, patet per Corol. </
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>19. Prop. </
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>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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Æthiopici
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tractu toto orientali inter
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Galliam
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& Promontorium
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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. </
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>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. </
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>Motus autem bini, quos Luminaria duo excitant, non cernen
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tur diſtincte, ſed motum Q.E.D.m mixtum efficient. </
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<
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>In Lumina
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rium Conjunctione vel Oppoſitione conjungentur eorum effectus,
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& componetur fluxus & refluxus maximus. </
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<
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>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. </
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<
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>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. </
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<
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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 </
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