INVERSE COMPUTATION 



(Andoyer-Lambert Formula) 



Clarke 1866 Ellipsoid 



40-50-6000 Line 



01 40° 00' OO'lOOON 



1. Point of Origin 



X, 18° 00' 



OO'IOOOW 



(j)^ 35 18 45.644N 



2. Terminal Point 



A 2 102 02 

 AA 120° 02' 



29 .370E 





Point 1 should be 



29 '1370 





west of point 2 







tan /3 = b/a tan (^ 







sin AA 0.86566309 





tan 0. 0.83909963 







cos AA -0.50062701 





tan (j)^ 0.70837174 











tan 

 0.83625502 

 0.70597031 



angle 

 39° 54' 15'1203 

 35 13 15.443 



sin 

 0.64150618 

 0.57673115 



cos 

 0.76711787 

 0.81693401 



;ot A 



cos /3i tan fi^ — sin ^j cos AA 

 sin AA 



cot B 



cos 



sin P2 cos 



AA 



AA 



cot 

 A 0.99659760 



tan B 

 B 0.89069853 



angle 

 45° 05' 51 '1495 



41 41 29 .068 



sin 

 0.70831073 



0.66511838 



cos (5 places) 

 0.705901 



0.746738 



cos jSi sin AA cos ^^ sin AA 



sin a = = ; 



sin B sin A 



cos a = sin ^1 sin jSj + cos ^^ cos /Sj cos AA 



sin a 0.99841720 

 cos a 0.05624132 

 a 86° 46' 33 '1271 



M = (sin ^1 + sin 

 N = (sin jSi - sin 

 a — sin a 



TT 





M 1.48410219 

 U 0.48862709 

 N 0.00419580 

 V 2.66269606 



a" 312393.271 

 a 1.51452532 



radians 



s = aff-H(MU + NV) 



aa 9659955.089 



- H (MU + NV) - 3980.422 





1 + COS a 







fff" 

 - — 1060.7155 

 sinff 







s 9 655 974 .667 



meters 



1 - COS a 



5A"=— COS ^/3, sin B cos B 



fa' 



SA" 



/fa" 



S B " = - cos ^^1 sin A cos A I—- 



\sin a 



351.593 



312.098 



A 



45° 05' 51': 495 



B 41° 



41' 29':068 



SA- 



05 51.593 



SB- 



5 12.098 



Af 



44 59 59.902 



Bf 41 



36 16.970 



«! = 



180° +Af 224° 59' 59':902 



a^ = 180° - 



Bf 138° 23' 43':030 



Line No. 10 as computed by ACIC, converting to parametric latitude. 

 (From Page 39 of the ACIC Technical Report No. 80 - August 1957) 



122 



