OBSERVATIONS WITH THE ZENITH TELESCOPE. 



389 



In what follows, the differences of the consecutive values of the latitude are given 

 with the weight given by the expression 



P =ii 



I- 

 II- 

 [II- 

 IV- 



V- 



10 (m + n') 



When two or more differences arc combined the value of p given is the sum of 

 the individual weights. The primed values of I-II, etc., refer to the morning series. 



II + 

 III — 



iv + 



V -I 

 VI — 



VI- VII + 

 VII -VIII — 

 VIII- IX + 



IX- X — 

 X- XI — 



XI- I -I- 



.129 

 .232 

 .028 

 .029 

 .055 

 .0(57 

 .021 



v 

 2.87 

 2.42 

 2.14 

 3.05 

 2.78 

 3.00 

 1.58 



.013 2.49 



.155 2.55 



.040 3.96 



.076 8.88 



l-p 



.3484 

 .4132 

 .4673 

 .3279 

 .3597 

 .3333 

 .6329 

 .4016 

 .3922 

 .2525 

 .1120 



I- II' + .166 

 II- III' — .338 



IV- V + .082 



V- VI' — -144 



VI- VII' + .091 



VII -VIII' + .256 



VIII- IX' + .322 



IX- X' — .098 



X- XI' -I- .016 



p i-p 



3.38 .2959 

 1.53 .6536 



1.36 

 2.66 

 1.51 

 1.73 

 1.09 

 2.21 

 1.44 



.7353 

 .3759 

 .6623 

 .5780 

 .9174 

 .4525 

 .6944 



I- II" 

 I- III' 

 I- IV 

 I- V 

 I- VI 

 I- VII' 

 I-VIII 



ii- hi" 



II- V 



II- V 

 II- VI 



ii-viri 



II- ix 



[II- V 



III- VI 



+ .110 



— .182 

 + .013 

 -I .024 

 + .067 



— .130 

 | .083 



— .230 

 + .161 



— .057 



— .144 



— .137 

 -|- .008 



— .053 

 -I- .029 



v 

 4.33 

 2.76 

 3.22 



5.45 

 3.83 

 0.01 

 2.06 

 4.77 

 1.55 

 4.31 

 4.45 

 1.49 

 1.44 

 3.03 

 7.22 



i-p 

 .2309 

 .3623 

 .3100 

 .1835 

 .2611 

 1.6393 

 .4854 

 .2096 

 .6452 

 .2320 

 .2247 

 .6711 

 .6944 

 .3300 

 .1385 



III- 



III- 



III- 



III- 



IV- 



IV- 



V- 



V- 



V- 



V- 



VI- 



VI- 



VII- 



VIII- 



IX- 



VII 

 IX 



X 



XI 



VIII 



X 

 VI' 

 IX 



X 

 XI 

 IX 

 XI 



X 

 XI 

 XI 



— .099 

 + .514 

 + .203 

 + .130 

 -|- .164 



— .000 

 + .006 

 + .119 



— .018 



— .196 

 + .072 

 -[ .092 

 -|- .009 



— .104 



— .254 



p 

 2.55 

 1.02 

 1.65 

 4.12 

 2.45 

 1.53 

 2.19 

 2.17 

 3.72 

 1.27 

 1.03 

 1.75 

 2.20 

 2.93 

 1.76 



i-p 

 .3922 

 .9804 

 .6061 

 .2427 

 .4082 

 .0530 

 .4566 

 .4608 

 .2688 

 .7874 

 .9709 

 .5714 

 .4545 

 .3413 

 .5682 



Representing by 1.2, 2.15 1.2', 2.3' the required corrections to I-II, 



II-III, .... the conditions to be satisfied are expressed by the 29 equations following : 



A. I* 



-VOL. XX. XX. 



