Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 2.djvu/534

 In the laik artizlqzgvn lqlgeffmqli annual nations, (page t erueou t Znlhavebeenadded. Let /E be the equation of the Sun's eenter; P the mean periodical time of thenodeora ee; Stherneanfynodical time of r£(gSun's revolution tp the mae Of apogw Then win 3; /E be the annual equation of the node or apogee, according as S and P are can pounded. The like rule will erve for the annual e uation of the Moon's mean motion. if S be put for the Sun's period; P for the mean ynodical period of the Moon to the Sun; and L for the Moon's period to the Stars: The annual equation of the Moods mean motion will be 3 LL 2 P S IE. Accordin to thee rules when expounded, tlge equation for the node will e found to be always in proportion to the equation of the Sun's center, nearly as 1 to 13. The equation of the apogee to the equation of the Sun's center, as to to 53. And the equation of the Moon's mean motion to the ame, as 8 to 77, It