. Asiatic Researches. â $$ APPENDIX. I â i (Rad.) then m'-i to :: TT^lsâ : (i + e>* + Sih.*7"l3, and m »n V^ 7. (i 4. e)2 +⢠7,1 60437 ^ (U 6 84). 2 + 1°1 6 24 1 '.T+el 3 "' \3 â . .' 60^65 £*thoinss the measure of the meridional degree at the equator. 7. IjET. be the measures of two degrees of longitude in the latitudes ©f / and"7, then r / and R'l will repre- sent the radii of curvature of d and d respectively. But R l is expressed by. rrm a2 . 'I 2 y 7. o2 + '/. 62 fl2 Hence 2 -j/^2 -}- ta
. Asiatic Researches. â $$ APPENDIX. I â i (Rad.) then m'-i to :: TT^lsâ : (i + e>* + Sih.*7"l3, and m »n V^ 7. (i 4. e)2 +⢠7,1 60437 ^ (U 6 84). 2 + 1°1 6 24 1 '.T+el 3 "' \3 â . .' 60^65 £*thoinss the measure of the meridional degree at the equator. 7. IjET. be the measures of two degrees of longitude in the latitudes ©f / and"7, then r / and R'l will repre- sent the radii of curvature of d and d respectively. But R l is expressed by. rrm a2 . 'I 2 y 7. o2 + '/. 62 fl2 Hence 2 -j/^2 -}- 7. 62 a2 .... and for the same reason r I d or 2 j/ fl2 I i. 2|/ii2-| f. 62 " ^\/a^-\ 7. £2 i/a'+taiig.* 7. 62 J yV + /.>*" '.'.'â d \ 'd that is l/r+~P|. * 7 2 i/T+7-1 *jtang7T â¢' d : 7i. And when ^ is at the equator, and therefore tang*2 t~=?:oj then -/r+ii 2 + T : i -f e :: d : W; and therefore -'*/== â .^(i + f)_â a general formula. Let / = 10, d â 60858 fathoms, , â , , , 60858() ton/irk as jn article 5, and 1+* as before; then d = -^^====^===59940 From this formula a table of degrees of longitude on this spheroid, may be computed, from the equator to the pole. -/ 8 Let p be the degree perpendicular to the meridian in latitude /, ! and p' that in latitude l\ Therjp, these being as their respective verticals or radii of curvature, we have & :p°"-.'⢠-â *â= ⢠0 >. x â â * 2 i. «*-t-Sin.*. (.*» -* a2-f 7. 6*-, that IS p ' p' ': rfCmJT. a2 + Sin.* f. 62 ; V' /. «2 + Sin. 2 /. b2 I that JsJ> _: p' : '. a/Cos.*7. (H-e)2 + 7"" ^ /. (f+^+' ; and when /» is at the equator, and therefore I=o3 and Cos.^ /-= i (Rad.) thenp;:p' -. '7. (1+#*'"+'â &!>.â¢* 7 * 2 + e» Hence/^; p (i+O a (I+e)2+ Sifl-'2'i. Please note that these images are extracted from scanned
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Keywords: ., bookcentury1800, bookdecade1810, bookpublishercalcu, bookyear1816
