RELATION OF VARIABLES. 123 



In the same way corrections for R^, R\, etc., are obtained. Correc- 

 tions for M, P, and K are found as follows : 



Mh = 2(.t — Xi)4 = S(a; — x^' — AXi)4 = S(a; — x[)4 — 7141 Ax| (88) 

 And similarly for il/15, Mu, etc. 



P41 = 2(2/ - 74)1 = S(^ - y; - Ay;)i = S(t/ - yl) - nuAy^ (89) 

 and similarly for P42, P43, etc. 



A'i4 = 2(a; - Xi)4 (y - y4)i = 'E{x -x[- Axj)4 (t/ - y/- Ay^)! 

 = S(.r - x^)4 (2/ - yl)i - Ay4S(x - x;)4 - Ax[i:{y - y^)! + 



ni4 (Ax^) (Ay^) (90) 



and similarly for K15, Kie, etc. 



Applj'ing the foregoing corrections to the numerical values, and 

 substituting these corrected values in equations (29) to (40), gives 



A = 12.3778 -\--{2d-\- 5/) - - {2.6644i?4 + O.8OOOE5 - 0.4000^6} 

 y y 



(91) 



B = 12.4667 + - (2(^ + 3/) - -{ - 0.2356^4 + 0.5000i?5 + 1.4000i?6} 

 y y 



(92) 



C = 8.9333 + - (5(Z + 1/) - -{- 2.3890^4 - 1.3000^5 - l.OOOOPe} 

 y y 



(93) 



D = 9.6889 + - (2a + 5c) - - { - 0.6290i?i - 0.72447?. + 5.6335i?3} 

 y y 



(94) 



E = 11.6778 + - (2a + 3c) - -{1.9710i?i - 0.9488i?2 - 3.9199^3} 

 y y 



(95) 



F = 12.4111 + ^ (5a + Ic) - -{- 1.4225i?i + 1.8134i?2 - 1.7733i?3} 

 y y 



(96) 

 0.&290d - 1. 4225/+ 0.8463^4 - 0.9956i?5- 1.9522i?6 



Ri = 0.2763 + 



13.2822 



(97) 



