Miscellaneous Works of the Late Thomas Young Volume 2

Miscellaneous Works of the Late Thomas Young Volume 2

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1855 edition. Excerpt: ... L', the force becomes L sin Decl. cos Decl. sin Hor. + L' cos ' Decl. sin Hor cos Hor.. Now, sin Decl. = cos Obl. Eel. sin Lat. +sin 0111. E01. cos. Lat. of cos Decl. might be expressed, if required, by means of this series, and its three first terms would in general be suflicient for the computation. But it will be more convenient to suppose the sun and moon to move in the ecliptic, and the ecliptic to be at the same time so little inclined to the equator, that the longitude may be substituted for the right ascension; a substitution which will cause but little alteration in the common phenomena of the tides. Then if the sun's longitude be (9, and the moon's )), the horary angles t and t', and the sine of tne obliquity of the ecliptic a'; we shall have sin Decl. = as sin (9, or w sin )); and cos Decl. = 1-sin" Decl. +-Z sin' Decl. = 1--Q a" sin" Q +2 a-' sin' (r)..., and sin Decl. cos Dec. = ae sin (9-5 as' sin'1 (r)+ 212' sin' (9...; also cos'' Decl. = 1 a" sin2 (3; whence the sun's force becomes L sin t (to sin Q m'gini' @--% az' sin'--L' sin 2 t (1-w"sin' (Q) = 1. sin t (main (r)-- 11'" (2 Bi11(r)-l;SiI13@)+%l'"-;sin@--'l6sin3@+1i6Bin5 Q1)-+ 1/sin 2 t (1-1 a-'+ 12" cos 2 @) = L sin t (a"sin (r)+w" sin 3 (E)--0"" sin 5 Q) +(= L--L'o: ) sin 2t+ I/w"sin2tcos2 @; Q3' being = (1;-gm" +:7: m"'..._: or about.3645: w" = 1 l5 5 _ 111:1 __ 02"--B-80: _.0078, and ac l28w-----00002, and 02' =.1585. But sin tsin G = 5 cos (: -(r))show more

Product details

  • Paperback | 192 pages
  • 189 x 246 x 10mm | 354g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236924215
  • 9781236924216