This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1840 Excerpt: ... = r cosX.coal, y =r cos sin I, z = r sinX...(l), x' = r' cos' cos t, y = r cos' sin l z' = r sin'...(2), X = Rcos A.cosL, Y = R cos A.sinZ, Z = PsinA...(3), =r'sinPcosA.cosi, =r' sin P. cos A.sinZ, -= /sin P. sin A;.. x = x' + X=r. cosX' cosZ' + sin P. cos A.cos L, y = y' + Y--r. cos' sin t + sin P.cos A.sinZ, z = ' + ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1840 Excerpt: ... = r cosX.coal, y =r cos sin I, z = r sinX...(l), x' = r' cos' cos t, y = r cos' sin l z' = r sin'...(2), X = Rcos A.cosL, Y = R cos A.sinZ, Z = PsinA...(3), =r'sinPcosA.cosi, =r' sin P. cos A.sinZ, -= /sin P. sin A;.. x = x' + X=r. cosX' cosZ' + sin P. cos A.cos L, y = y' + Y--r. cos' sin t + sin P.cos A.sinZ, z = ' + Z = /. sin ' + sin P. sin A. But, from equations (l), y z tan I =--, tan X =--. cos I; x x cos X' sin t + sin P. cos A. sin L.. tan I a= T-r--, cos X cos I + sin P. cos A. cos L sin X' + sin P. sin A. cos I tan "--T' r, D h r' cos X cos l + sin P. cos A. cos L From the first of these formulae I may be found, and then X from the second; and these being known, r may be obtained by the equation x, cos X'. cos I' + sin P. cos A. cos LI cos X. cos I cos X. cos I 254. If D be the apparent diameter of the body seen from the center of the Earth, D' the diameter at the place of observation, r cos '. cos I' + sin P. cos A. cos L A, the latitude of the observer's zenith, is the same as the zenith distance of the nonagesinial, and L, the longitude of the zenith, the same as the longitude of the nonagesinial. 255. In the same manner, if a and $ be the right ascension and declination of the planet as seen from the center of the Earth, a and 8' at the place of observation, A the right ascension of the zenith, or of the mid-heaven, and D the declination of the place of observation as seen from the center of the Earth, which is equal to the latitude of the place-of observation; cos $. sin a + sin P. sin A. cos D tan a = F----, cos 6 cos a + sin P. cos A. cos JJ - jsin I' + sin P. sin D cos a tan 5 =, . i-. cos 6. cos a + sin P. cos D. cos A 256. Many methods have been proposed for determining the amount of the parallax of those heavenly bodie...
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