152 



EOGEES AND McLEOD ON THE 



Combination of Mean Equations from Time Groups with the Separate Equations of the 

 Polar Group. Equations between a and c. From Observations at Cambridge. 



= 



JuxE 1, 1883. 



FU.ND.WIESTAL ElJUATlOSS. 



Civcle East. 

 +a09 -1.07(/ 



-0.93 +9.78« 

 Circle West. 



+ 1.98c 

 -14.14c 



= +1.48 -2.55(1 



= +1.23 



-1.92« 



- 2 40c 



- 2.22c 





 Hence 



Norm.vl Equations. 

 From Circle East .luil Circle \Ve?t. 



= -1.5.40 +109.71» -131 81c 

 - + 7.05 -131.81« +214.56C 



= _6.'87 -0.428c 



= +0.203 

 3= +0.384 



JcNE 4, 1883. 



FU.NDAMENTAL EQU.^TIONS. 



Circle Ea.st. 



June 2, 1883. 



funda.mestai e^u.ations. 



Circle East. 



+2.10« 

 -1.67(( 

 -3.00.1 

 +1.63« 

 +3.18.t 

 -2.02(1 

 +2.81(1 



Circle West. 



-1.70 +1.95(1 

 —1.90 +2.54i 



= -0.31 



= +0.71 



= +1.21 



= +0.10 



= -0.50 



= +0.99 



= -0.65 



+4.23c 

 -1.34c 

 -3.83c 

 +3.50c 

 +5.57c 

 —1.77c 

 +5.08c 



-4.29c 

 -4.28c 



NoRMa E(JUAriONS. 



From Circle West and Circle East. 



= -19.75 +55.36(1. + 47.32c 

 = + 1.32 +47.32(1 +143.71C 



Hence, c = -0.189 

 a = +0.4.56 



From Circle East. 



= -1L48 +45.10(1 + 66.52c 

 - -14.36 +66.52,1 H-106.99c 



= +6.0383 +0.135C 



Hence, c = -6.284 

 a - +0.673 



+1.75 

 -0.52 

 -0.79 

 -1.59 

 +1.99 

 -0.98 

 -1.25 

 -2.05 

 +1.28 

 -1.01 

 -1,28 

 -2.08 



-2.64(1 

 +2.11(1 

 +2.03(1 

 +3.01(1 

 -2.14» 

 +2.61(1 

 +2.53(1 

 +4.11.1 

 -2.11(1 

 +2.04.1 

 +2.56.1 

 +4.14(1 



Circle West. 



+2.37c 



-4.37c 

 -4.26c 

 -6.34c 

 +2.30c 

 -4.38c 

 -4.27c 

 -6.35c 

 +2.31C 

 -4.4.1c 

 -4.32c 

 -G.40e 



= -153.96 +188.06(1 - 53.93c 



= - 47.69 - 63.93a +371.31c 



s. 



= -1.703 +6.603C 



Hence, c = +6.258 

 a = +0.89 



June 5, 1883. 

 Fundamental Equations. 



+243 

 -1 ..50 

 -1.03 

 +3.42 

 +1.91 

 -2.02 

 -2.15 

 +2,90 



Circle East. 



-2.G4« 

 +2.11« 

 +2.03(1 

 -3.73a 

 -2.11« 

 +2.64(1 

 +2.56rt 

 -3.20a 



Circle West. 



+2.37c 

 -4.37c 

 -4.26c 

 +3.80c 

 +2.33C 

 -441c 

 -4.30c 

 +3.76c 



= 



-171.11 +138.88U + 22.47c 

 - 86.57 + 22.47a +250.89c 



+2.621 -11.004c 



Hence, c = +0.238 

 a = +1.20 



Hence, c = +0.164 



a - +1.086 



From Circle West. 

 = -121.30 + 81.22(1 +10O..37C 

 = -152.33 +100.37(1 +136.07c 



= -Ô.025 +0.549C 



Hence, c = +6.045 

 „ z= +1.458 



