Miscellaneous Works of the Late Thomas Young, M.D., F.R.S., And One of the Eight Foreign Associates of the National Institute of France. Vols. I. & II., Including His Scientific Memoirs, &C Volume 2

Miscellaneous Works of the Late Thomas Young, M.D., F.R.S., And One of the Eight Foreign Associates of the National Institute of France. Vols. I. & II., Including His Scientific Memoirs, &C 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: ...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 02'; we shall have sin Decl. = ae sin @, or (t+@) + L 61: " 4 cos (t--3(9)-1 cos (t+3G)) + r. a: ''' l-cos (t--5 @)- cos (t+5@) + % (1--ae') sin 2 t + 'ea sin2(t+@)+ sin2 (_cents_@))= and that of the moon may be expressed in the same manner, by substituting Ill, t' and ), for S, t, and G). w sin )); and cos Decl. = 1--sin2 Decl. +-g sin4 Decl. = 1 02' sin2 (9 +2 02' sin'.., and sin Decl. cos Decl. =.. 3. as sm @-- 093 sm3 (r)+ g oe5 sm'' (9...; also cos2 Decl. = 1 (B2 sin2 (9; whence the sun's force becomes L sin t (as sin (9 ae3sin3 (r)+goe"'sin"' (r)...)+L'1lssin2t(1-oe2sin2 @) = Lsin t (oesin (r)-- oc" (2 sin(r)--%sin3@)+ga;-" ZsinQ-li6sin3(r)+ilEsin5 (r))+ $1/sin 2t (1-5 a: '+ aYcos2 (9): L sin t (ae'sin(r)+oe"sin3 (r)+az"' sin5@)+(% L--71;L'(E2)SlI12t-I-:1L'032SiIl2tCOS2@; 3 15.oe' being = a2--5023+ 6--4w"'...; or about.3645; w" = %a2"'--1'_258w5 =.0078, and oe"'=1%8a2"'... =.00002, and of =.1585. But sintsin (D =show more

Product details

  • Paperback | 190 pages
  • 189 x 246 x 10mm | 349g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236818423
  • 9781236818423