Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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tertiam Lunarem, ideque maximo intervallo paulo poſt Octantes
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Lunæ; & paribus intervallis æſtus maximus ſequetur horam ter
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tiam Lunatem in tranſitu Lunæ a Quadraturis ad Syzygias. </
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<
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>Hæc
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ita ſunt in Mari aperto. </
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<
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>Nam in oſtiis Fluviorum fluxus majo
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res cæteris paribus tardius ad
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venient. </
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LIBER
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TERTIUS.</
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>Pendent autem effectus Luminarium ex eorum diſtantiis a Terra. </
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In minoribus enim diſtantiis majores ſunt eorum effectus, in ma
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joribus minores, idQ.E.I. triplicata ratione diametrorum appa
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rentium. </
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<
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>Igitur Sol tempore hyberno, in Perigæo exiſtens, ma
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jores edit effectus, efficitque ut æſtus in Syzygiis paulo majores
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ſint, & in Quadraturis paulo minores (cæteris paribus) quam
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tempore æſtivo; & Luna in Perigæo ſingulis menſibus majores
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ciet æſtus quam ante vel poſt dies quindecim, ubi in Apogæo ver
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ſatur. </
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<
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>Vnde fit ut æſtus duo omnino maximi in Syzygiis con
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tinuis ſe mutuo non ſequantur. </
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<
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>Pendet etiam effectus utriuſque Luminaris ex ipſius Declina
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tione ſeu diſtautia ab Æquatore. </
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<
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>Nam ſi Luminare in polo con
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ſtitueretur, traheret illud ſingulas aquæ partes conſtanter, abſque
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actionis intenſione & remiſſione, adeoque nullam motus recipro
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cationem cieret. </
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<
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>Igitur Luminaria recedendo ab æquatore polum
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verſus, effectus ſuos gradatim amittent, & propterea minores cie
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bunt æſtus in Syzygiis Solſtitialibus quam in Æquinoctialibus. </
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In Quadraturis autem Solſtitialibus majores ciebunt æſtus quam
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in Quadraturis Æquinoctialibus; eo quod Lunæ jam in æquatore
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conſtitutæ effectus maxime ſuperat effectum Solis Incidunt igi
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tur æſtus maximi in Syzygias & minimi in Quadraturas Lumina
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rium, circa tempora Æquinoctii utriuſque. </
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<
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in Syzygiis comitatur ſemper minimus in Quadraturis, ut experi
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entia compertum eſt. </
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<
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>Per minorem autem diſtantiam Solis a
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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. </
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<
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>Pendent etiam effectus Luminarium ex loeorum latitudine. </
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<
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>De
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ſignet
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ApEP
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Tellurem aquis profundis undique coopertam;
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C
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centrum ejus;
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P, p
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polos,
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AE
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Æquatorem;
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F
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locum quemvis
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extra Æquatorem;
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Ff
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parallelum loci;
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Dd
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parallelum ei re
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ſpondentem ex altera parte æquatoris;
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L
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locum quem Luna tri
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bus ante horis occupabat;
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H
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locum Telluris ei perpendiculariter </
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