142 Astronomical and Nautical Collections. 



The computation for M will stand thus 



Log tang 0' 9.608237 



-Log sin (A"— a"j 9.959299 



:=Log m 9.648938 



J Log sin (A"— a') 9.998750 



"^ iLog sin (A"-«"'J 9.827766 



_fLog m sin (A"— a'j 9.647688 



"iLogmsin (A"— a'") 9.476704 



We next compute the formulas 

 r''=:R'^-2 R' cos (A- a') g' + sec "0 q\ and 

 r"'-'=:R"''— 2 R'" cos (A"'-a"') M ? ' + sec ^0" W {\ which 

 become /== 1.01453-0.28854 §' + 1.10393 ^'^ 



r'"-'— 1.01011 - 1.21482 §'+ .90869 i'' % then for the 

 chord , ;fe'z=r'' + r"'^— 2 R' R'" cos (A"'-A') + 2 R'" cos (A"'-a') 

 ^' + 2 R' cos (A'-*"')M/-2 M cos («'"-*') /^— 2 tang 

 tano- /3" M ^'^ ; and the calculation stands thus 

 (l)LogR' .003132 (2)LogR"' .00218 



+ Log R'" .002184 + Log cos (A"'-a') 7.89400 



+ Log cos (A'"- A') 9.995976 = Log .007875 "7^89618 

 = Log 1.00298 0.001292 



(3) Log M 9.940836 (4) Log M 9.940836 



+ Log R' .003132 + Log cos («'"-«') 9.861377 



+ Log cos (A'-O 9. 894274 = Log .63418 9.802213 

 =: Log .689035 9.838242 



