86 MICBIGAN ACADEMY OF SCIENCE. 



Oorrespoudiug to the several sets of observations are normal equations 

 and solutions as follows: 



[nn. 3] = 22.523 [vv] - 2J..521. 



Probable error one equation = r = ±0.351 '. 



Clamp Ea.st, below pole. 



+77.000 r,6 —23 069 Ak — 2.464 it +18.820 - 



-23.019 +40.317 + 1.281 —10.318 = 



— 2.464 + 1.281 +34.670 —12.450 = 



wt. 



a5 = +3.807" ±0.046" 63.7 



Ak = +0.135 ±0.063 33.4 



IT - +0.340 ±0.062 34.6 



[nn. 3] = 21.558 \vv^ - 21.565 r = ±0.364". 



Clamp East, reflected, above pole. 



+25.000 Ai + 0.298 Ak +10.549 jr -4.340 = 



+ 0.298 +16.658 —3.144 —5.682 =0 



+ 10.549 —2.144 +7.701 +0.677 =0 



wt. 



a5 - —0 580" ±0.118" 9.9 



Ak = +0.257 ±0.096 15.1 



ir - —0.592 ±0.217 2.9 



fnn. 3] = 6.702 [»«] = 6.701 r = ±0.372". 



Clamp East, reflected, below pole. 



+21.000 AS -0 .9.50 Ak —12.423 w +1.490 = 



— 0.950 +13.064 + 2. .58/ +0.255 = 

 —12.423 +^..587 +10.358 +0.392 = 



wt. 



a6 - —0.222" ±0.102 ' 8.7 



Ak = +0.026 ±it.087 11.9 



Tr = —0.310 ±0.158 3.6 



[nn. 3) = 4.1.50 \vv\ - 4.161 r = ±0.300". 



Clamp West, above pole. 



+64.000 a6 — 2.120 Ak — 2.499 tt +*4.790" = 



— 2.1J0 +32.741 —2.319 —5.456 =0 

 -2.499 -2.319 +39.602 +4.179 =0 



wt. 



a5 = +0.92.5" ±0.046" 63.6 



Ak = +0.152 ±0.065 32.5 



ir = —0.135 ±0.068 29.3 



[an. 3] = 18.185 lvv\ =18.19! r = ±0.368". 



Clamp West, below pole. 



+63.000 a6 + 1.825 Ak — 0.171 tt -t-14.270" = 



+ 1.825 +30.»«1 —0.775 —12.686 =0 



— 0.171 —0.775 +30.891 +3.879 =0 



wt. 



AS = -1.239" ±0.039" 62.9 



Ak = +0.427 ±0.0.56 30.4 



TT = —0.116 ±0.055 30.9 



[nn. 3] = 12.493 [i/«] = 12.510 r = ±0.308". 



