﻿208 



ON THE USE OF EQUIVALENT FACTORS 



In both cases, the agreement is as near as could be desired. 



We have, then, the following equations by successive eliminations : — 



I. 



Coef. of Coef. of Coef. of 



dy. d 71. d If. 



7203.91 — 0.09344 — 2.28516 

 + 2458225.00 + 62.13 —510.58 



Coef. of 

 dn. 



Coef. of 

 di. 



— 0.34664— 0.18194 

 + 213.84 + 73.45 



+ 0.71612+ 1.11063— 0.06392 + 

 + 9.29213 — 0.36175 — 



0.25868 

 0.57384 

 + 2.22346— 0.37766 

 + 5.42383 



II. 



Coef. of 



Coef. of 



Coef. of 



Coef of 



Coef. of 



d y. d 7T. d (p. 



7208.64— 0.04729— 2.22332 — 



2229.06- 0.13790— 0.19504 + 



+ 7.03449+ 10.51875 + 



+ 9.01520 — 



+ 



rfi;. di. 



0.33807— 0.19932 



0.28590— 0.21945 



0.43566+ 3.12386 



0.49449— 0.72094 



2.17690— 0.46611 



+ 4.24758 



III. 



Coef. of 



Coef. of 



Coef. of 



Coef. of 



Coef of 



d Y- d n. d <f. 



7296.25 — 0.06706 — 2.33932 — 



2048.68 + 0.02871 — 0.44288 + 



+ 7.18029+ 11.56325 + 



+ 9.07933 — 



+ 



dc:. di. 



0.37876— 0.08024 



0.25090 — 0.09299 



0.21715+ 3.07926 



0.50448 — 0.43778 



2.22130— 0.43492 



+ 5.33957 



From which are finally deduced the values of the six unknown quantities : — 



di = — 3.15 

 do. =— 34.37 

 d ,p = — 4.29 

 d ,r = + 166.44 

 d y = + 0.054335 

 d L = — 3.06 



II. 



— 3.77 



— 46.94 



— 22.41 



+ 186.17 

 + 0.08963 



— 56.32 



III. 



— 5.76 



— 53.85 



— 33.50 

 + 212.41 



+ 0.05115 



— 14.58 



The following are the outstanding errors of the original equations : — 



