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378 
^8 



TABLES 



OP 



E U N M I A . 



•v 



37/ 




S3^t 



Cornell University Library 
QB 378.E8S38 



Tables of Eunomia, 




3 1924 012 499 830 




Cornell University 
Library 



The original of this book is in 
the Cornell University Library. 

There are no known copyright restrictions in 
the United States on the use of the text. 



http://www.archive.org/details/cu31924012499830 



TABLES 



OF 



E U N M I A, 



BY 



E. S C HUBERT 



COMPUTED FOE THE 



AMERICAN EPHEMEEIS AND NAUTICAL ALMANAC. 



BUKEAU OF NAVIGATION, 
WASHINGTON. 

1866. 



^-^^p-^ 



"Q 




i i 



INTRODUCTION. 



THE general perturbations of Eunomia having been computed exactly in the same manner as those of 
Melpomene, it is only necessary to refer here to the Melpomene-Tables for details, and to give the data 
which have been used in the computation with the final results thereof. 



JSlements. 
Ednomia. 
1854, Jan. 0, Washington Mean Time ; (osculating). 



M. Eq. Ep. 



Jupiter (from Botjvaed's Tables). 
1854, Jan. 0, Washington Mean Time. 





M= 


122 


10 


34.2 




n = 


27 


47 


12.1 




C! = 


293 


55 


42.0 






11 


44 


5.2 




(j) = 


10 


50 


11.9 




/u = 


825".79753 


lo 


sa = 


0.4220887 



M= 



II — 

log a = 



43 
58 
56 
18 
45 

299".12861 
0.7162370 



269 

11 

98 

1 

2 



39.1 
43.2") 

38.71 

39.5 

55.1 



M. Eq. Ep. 



I 




^ 




Perturbations of ike Badius Vector 


in units of 


the Sixth Decimal Place, 


— 








», 


i' 


COS 


sin 


i, i' 


cos 


r° 
sin 


dr 
i, i' 


cos 


sin 


i, i' 


cos 


sin 










T 


7.7it 




-4 


-2 


- 0.2 


0.0 


1 -4 


+ 


28.6 


+ 


49.1 


-1 -7 


_ 


0.3 


- 0.2 




1 





+ 


27.091 


- 444.62< 


-3 


-2 


+ 3.0 


- 2.5 


2 -4 


- 


104.4 


- 


56.1 


-7 


+ 


1.1 


- 0.7 




2 





+ 


2.52< 


- 41.49< 


-2 


-2 


+ 19.2 


- 13.0 


3 -4 


+ 


86.7 


- 


446.1 


1 -7 


+ 


8.5 


+ 3.3 




3 





+ 


0.35< 


- 5.80< 


-1 


-2 


+ 136.2 


- 93.5 


4 -4 


- 


60.4 


+ 


95.8 


2 -7 


+ 


15.8 


+ 11.6 




4 





+ 


o.oet 


- 0.96< 





-2 


+1869.2 


-1287.5 


5 -4 


- 


11.7 


+ 


19.9 


3 -7 


+ 


23.8 


- 21.6 




5 





+ 


O.OU 


- 0.18* 


1 


-2 


-1693.1 


+1184.4 


6 -4 


- 


1.9 


+ 


2.1 


4 -7 


- 


11.9 


- 12.2 




6 









- 0.03< 


2 
3 


-2 
-2 


-6071.2 
- 565.8 


+3841.8 
+ 360.1 


7 -4 


— 


0.2 


~ 


0.1 


5 -7 

6 -7 


+ 


10.2 
4.1 


+ 3.2 

- 7.0 










+ 


549.2 




4 


-2 


- 74.7 


+ 45.5 


-2 -5 


+ 


0.4 


- 


0.5 


7 -7 


- 


0.2 


+ 2.5 




1 





_ 


157.8 


- 8.5 


5 


-2 


- 12.2 


+ 7.0 


-1 -5 


+ 


1.2 


+ 


2.0 


8 -7 


+ 


0.4 


+ 1.7 




2 





+ 


23.2 


- 12.3 


6 


-2 


- 1.4 


+ 1.0 


-5 


- 


3.1 


+ 


12.9 


9 -7 


+ 


0.3 


+ 0.4 




3 





+ 


1.1 


- 2.4 


7 


-2 


0.0 


+ 0.1 


1 -5 


- 


45.6 


+ 


65.4 












4 





+ 


0.4 


- 0.1 










2 -5 


+ 


41.5 


- 


71.6 


-1 -8 


+ 


0.1 


0.0 




5 







0.0 


+ 0.3 


-4 


-3 


+ 0.3 


0.0 


3 -5 


+ 


226.2 


+ 


142.2 


-8 


+ 


0.8 


- 0.2 




6 





_ 


0.2 


0.0 


-3 


-3 


+ 2.0 


+ 0.3 


4 -5 


+ 


18.1 


- 


81.1 


1 -8 


+ 


3.3 


+ 0.1 




7 







0.0 


- 0.2 


-2 


-3 


+ 8.1 


+ 1.1 


5 -5 


- 


7.5 


+ 


34.0 


2 -8 


+ 


31.5 


- 14.9 














-1 


-3 


+ 57.7 


- 2.6 


6 -5 


- 


2.1 


+ 


9.0 


3 -8 


- 


17.4 


+ 11-1 




-5 


^1 


+ 


0.4 


+ 0.1 





-3 


+ 621.4 


- 4.3 


7 -5 


+ 


0.1 


+ 


1.2 


4 -8 


+ 


2.7 


- 6.7 




-4 


—l 


_ 


0.2 


+ 0.6 


1 


-3 


+1215.8 


-1375.0 


8 -5 




0.0 


+ 


0.4 


5 -8 


- 


2.7 


+ 1.7 




-3 


—1 


_ 


1.5 


+ 0.2 


2 


-3 


-3385.9 


+4687.3 












6 -8 


+ 


3.8 


+ 1.4 




-2 


_J 


_ 


0.1 


+ 2.7 


3 


-3 


- 781.8 


+ 958.8 


-2 -6 


+ 


0.3 




0.0 


7 -8 


- 


2.6 


- 3.3 




-1 


_1 


+ 


58.7 


+ 41.6 


4 


-3 


- 102.2 


+ 123.3 


-1 -6 


- 


0.3 


+ 


0.5 


8 -8 


+ 


0.5 


+ 0.8 







_2 


_ 


731.7 


+ 245.2 


5 


-3 


- 12.9 


+ 16.5 


-6 


- 


3.5 


- 


0.9 


9 -8 




0.0 


+ 0.6 




1 


—\ 


+1802.6 


- 579.8 


6 


-3 


- 2.2 


+ 3.1 


1 -6 


- 


16.9 


- 


15.1 












2 


I 


+ 


343.0 


- 110.5 


7 


-3 


- 0.5 


+ 0.2 


2 -6 


- 


26.1 


+ 


26.3 












3 


_1 


+ 


59.4 


- 21.4 


8 


-3 


- 0-1 


- 0.2 


3 -6 


+ 


51.2 


- 


64.0 












4 


_1 


+ 


8.5 


- 2.1 










4 -6 


+ 


24.5 


+ 


15.1 












5 


1 


+ 


0.7 


- 0.3 


-2 


-4 


- 0.4 


0.0 


5 -6 


- 


6.1 


- 


28.8 






■ 






6 


_1 




0.0 


- 0.4 


-1 


-4 


+ 0.5 


- 1.6 


6 -6 


+ 


0.4 


+ 


9.8 












7 


— 1 


+ 


0.2 


- 0.1 





-4 


+ 7.8 


- 2.8 


7 -6 

8 -6 




0.0 
0.0 


+ 
+ 


4.1 

0.9 













Denoting now the Arguments in the following manner : - 



1 = 


— M' 


XVIII = 


2 M—5 M' 


XXXV = 


7 M— 


3M' 


11 = 


M— M' 


XIX = 


M —b M' 


XXXVI = 


bM— 


&M' 


111 = 


M—2M' 


XX = 


BM—5M' 


XXXVII = 


— M— 


■5M' 


IV = 


M—3M' 


XXI = 


5M—3M' 


XXXVIII = 


— 3M— 


M' 


v = 


3 M— 2 M' 


XXII — 


5 M—2 M' 


XXXIX — 


7 M— 


2 M' 


VI = 


2 M— 3 M' 


XXIII = - 


-2M—3M' 


XL = 


b M— 


7 M' 


VII = 


2M— M' 


XXIV = 


iM—5M' 


XLI — 


bM— 


8M' 


VIII = - 


— M— M> 


XXV = 


M—GM' 


XLII = 


6M— 


. M' 


IX = 


M 


XXVI = 


2M—1M' 


XLIII = 


— iM— 


■ 3M' 


X = 


3iJf— Jlf' 


XXVII = - 


-3M—2M' 


XLIV = 


6M- 


■ bM' 


XI = 


M—i^M' 


XXVIII = 


3 M—7M' 


XLV = 


— M- 


■ iM' 


XII = 


3 M— 4 M' 


XXIX = 


S M—8M' 


XLVI = 


6M- 


-7 M' 


XIII = 


— 2 M— M' 


XXX — 


IM—TM' 


XL VII = 


8M- 


-3 M' 


XIV = 


4.M— M' 


XXXI = 


bM— M' 


XLVIII = 


— 2M- 


■ bM' 


XV = 


— M— 2 M> 


XXXII = 


M—8M' 


XLIX — 


— M- 


■&M' 


XVI = 


4 M— 3 M' 


XXXIII — 


5 M—4.M' 








XVII = 


— M— 3 M' 


XXXIV — 


M—7M' 









The perturbations of the rectangular coordinates (the plane of the orbit of Eunomia being fundamental- 
plane) in units of the Sixth Decimal, are : — 





«^ 


fix 


& 


cos 


sin 


cos 


sin 


cos 


sin 


M 


+ 15.58* 




- 88.02* 




+ 3.08* 




1 M 


+ 1.42< 


+581. 71< 


-570.90* 


+ 2.41* 


- 10.77* 


-154.18* 


2 M 


- 4.S3< 


+136.55* 


-135.37* 


- 4.61* 


- 1.00* 


- 14.39* 


3 M 


- 1.37< 


+ 30.59* 


- 30.40* 


- 1.32* 


- 0.14* 


- 2.01* 


4 M 


- 0.34< 


+ 6.97* 


- 6.92* 


- 0.33* 


0.00 


- 0.33* 


5 M 


- 0.09< 


+ 1.61* 


- 1.60* 


- 0.08* 


0.00 


- 0.08* 


6 M 


0.00 


+ 0.38* 


- 0.36* 


0.00 


0.00 


0.00 


7 M 


0.00 


+ 0.07* 


- 0.07* 


0.00 


0.00 


0.00 


I 


+1370.2 


- 403.1 


- 407.0 


-1232.5 


- 181.1 


+ 44.9 


2 I 


-4033.9 


+2671.0 


+2648.5 


+4008.6 


+ 190.7 


- 114.2 


3 I 


-1277.4 


+ 153.2 


+ 157.7 


+1263.9 


+ 6.7 


- 56.1 


4 I 


- 9.3 


- 7.1 


- 6.2 


+ 8.8 


+ 1.0 


+ 0.9 


5 I 


+ 18.2 


- 16.2 


- 16.4 


- 16.9 






6 I 


+ 6.0 


- 2.4 


0.0 


- 6.0 






7 I 


- 2.2 


- 1.0 


- 0.9 


+ 1.8 






8 I 


- 2.0 


+ 0.9 


+ 1.1 


+ 2.0 






U 


- 79.4 


+ 59.7 


- 54.5 


- 53.4 


+ 172.9 


- 53.9 


2 II 


+2665.1 


-1775.8 


+1690.3 


+2529.3 


- 123.7 


+ 84.1 


3 11 


+ 807.8 


- 982.8 


+ 973.8 


+ 806.0 


- 54.6 


+ 59.5 


4 II 


- 3.2 


+ 58.1 


- 46.8 


+ 2.1 


+ 1.7 


- 1.7 


5 II 


- 13.1 


+ 3.0 


+ 2.2 


- 11.7 






6 II 


- 0.7 


+ 2.9 


0.0 


- 0.9 






7 II 


0.0 


+ 1.2 


0.0 


0.0 













5 










5i 


Vi 


?i 




COS 


sin 


cos 


pin 


cos 


sin 


Ill 


-2487.1 


+1518.2 


+1488.7 


+2339.3 


- 193.2 


+ 101.9 


2 III 


+ 40.9 


- 197.9 


- 158.9 


- 41.4 


0.0 


- 27.0 


3 HI 


+ 9.6 


+ 14.4 


+ 1.8 


- 37.0 


+ 7.9 


+ 2.1 


4 III 


+ 21.3 


- 17.0 


+ 19.1 


+ 23.0 


- 0.6 


0.0 


IV 


-1695.2 


+2903.8 


+2902.8 


+1721.5 


+ 162.9 


- 164.6 


2 IV 


+ 13.2 


- 32.5 


- 25.2 


- 26.9 


- 2.6 


- 0.6 


V 


+1202.5 


- 774.7 


+ 760.0 


+1181.9 


- 1.5 


0.0 


2 V 


+ 1.0 


+ 1.4 


- 1.6 


+ 1.0 






VI 


+1055.0 


+ 366.0 


- 117.0 


+1341.5 


- 507.5 


+ 518.5 


2 VI 


- 14.0 


+ 5.0 


- 26.2 


- 10.4 


+ 2.6 


+ 5.8 


VII 


- 634.8 


+ 200.6 


- 204.2 


- 640.0 


+ 79.9 


- 29.1 


2 vn 


+ 319.8 


- 204.8 


+ 202.7 


+ 317.1 






3 VII 


+ 15.4 


- 19.8 


+ 19.5 


+ 15.4 






VIII 


+ 235.1 


- 96.1 


- 94.2 


- 238.4 


- 63.1 


+ 20.9 


2 VIII 


- 116.2 


+ 80.4 


+ 80.5 


+ 115.8 


+ 2.5 


- 1.7 


3 VIII 


- 11.7 


+ 0.8 


+ 1.2 


+ 15.9 






IX 


- 69.2 




- 14.1 




+ 72.3 




1 IX 


+ 193.5 


+ 1.1 


+ 2.2 


+ 172.2 


- 51.2 


+ 4.3 


2 IX 


+ 51.6 


+ 8.1 


- 7.7 


+ 53.6 


- 12.1 




3 IX 


+ 6.6 


+ 2.4 


- 1.9 


+ 6.8 


- 2.0 




4 IX 


+ 0.7 


+ 0.6 




+ 0.8 






X 


- 158.3 


+ 50.7 


- 49.8 


- 157.6 


+ 7.9 


- 3.1 


2 X 


+ 20.2 


- 12.9 


+ 11.8 


+ 18.4 






XI 


- 60.4 


- 139.4 


- 137.9 


+ 64.1 


+ 0.5 


+ 16.4 


2 XI 


- 23.3 


+ 19.7 


+ 17.8 


+ 22.4 






XII 


+ 5.5 


+ 117.3 


+ 6.2 


+ 64.6 


+ 22.8 


- 45.4 


2 XII 


- 0.7 


- 1.4 


- 1.2 


+ 1.8 






XIII 


+ 29.3 


- 19.6 


- 19.3 


- 30.6 


- 7.6 


+ 2.0 . 


2 XIII 


- 6.0 


+ 4.1 


+ 4.2 


+ 6.3 






XIV 


- 38.0 


+ 12.4 


- 12.2 


- 37.4 


+ 0.9 


0.0 


2 XIV 


+ 1.2 


- 0.7 


+ 0.7 


+ 1.2 






XV 


- 600.9 


+ 415.0 


+ 412.6 


+ 599.3 


+ 17.2 


- 12.3 


XVI 


+ 238.8 


- 305.9 


+ 301.0 


+ 235.3 


- 5.0 


+ 4.9 


XVII 


- 251.6 


+ 19.8 


+ 18.9 


+ 250.1 


+ 1.3 


- 5.7 


XVIII 


+ 109.7 


+ 101.8 


+ 36.0 


- 57.1 


+ 2.6 


- 10.6 


XIX 


+ 172.1 


- 21.8 


- 24.5 


- 174.9 


- 3.9 


0.0 


XX 


- 128.8 


- 9.1 


- 64.9 


- 118.7 


+ 4.1 


+ 46.0 


XXI 


+ 61.7 


- 79.5 


+ 79.1 


+ 61.1 


- 0.8 


+ 0.7 


XXII 


+ 78.9 


- 50.3 


+ 50.3 


+ 78.8 






XXIII 


- 53.3 


+ 3.8 


+ 3.7 


+ 53.9 


0.0 


- 0.8 


XXIV 


- 53.1 


+ 2.8 


+ 32.0 


- 44.0 


+ 2.3 


- 5.1 


XXV 


+ 26.9 


- 53.6 


- 11.2 


- 28.2 









Si 


li 


fi 


COS 


sin 


cos 


sin 


cos 


sin 


XXVI 

xxvn 

XXVIII 

XXIX 

XXX 

XXXI 

XXXII 

XXXIII 

XXXIV 

XXXV 

XXXVI 

XXXVII 

XXXVIII 

XXXIX 

XL 

XLI 

XLII 

XLIII 

XLIV 

XLV 

XLVI 

XL VII 

XLVIII 

XLIX 


+ 28.9 

- 24.7 
+ 14.1 
+ 18.9 

- 9.5 

- 9.1 

- 8.4 
+ 1.9 

- 7.0 
+ 3.6 

- 4.1 
+ 3.1 
+ 4.2 
+ 4.4 

- 3.1 
+ 3.9 

- 2.2 

- 2.6 

- 2.8 

- 2.1 

- 0.5 
+ 0.8 
+ 0.5 
+ 1.5 


- 17.8 
+ 17.1 

- 2.3 

- 11.1 
+ 11.5 
+ 2.9 
+ 4.4 
+ 9.9 

- 2.4 

- 4.9 
+ 7.6 

- 4.6 

- 4.0 

- 2.8 
0.0 

- 0.8 
+ 0.7 

0.0 

- 0.6 

- 0.7 
+ 2.1 

- 1.0 

- 1.3 
0.0 


- 20.7 
+ 17.1 

- 2.9 

- 5.3 

- 8.9 

- 3.2 
+ 4.5 

- 9.8 

- 1.3 
+ 4.6 
+ 2.9 

- 3.9 

- 4.5 
+ 2.7 

- 5.7 
+ 1.2 

- 0.7 
0.0 

+ 0.9 

- 0.8 
+ 1.2 
+ 1.0 

- 1.1 
0.0 


- 26.4 
+ 24.8 
+ 31.7 
+ 5.2 

- 18.0 

- 9.4 
+ 8.6 
+ 2.2 
+ 7.1 
+ 3.5 

- 5.2 

- 3.1 

- 4.4 
+ 4.3 
+ 1.1 
+ 0.9 

- 4.3 
+ 2.4 

- 2.9 
+ 1.7 

- 0.9 
+ 0.7 

- 1.0 

- 1.2 


- 1.0 
+ 0.6 


- 1.4 

- 2.0 

+ 1.3 


Normal Places referred to the Mean Equinox 1854.0. 


Berlin M. T. 


a 


(5 


Berlin M. T. 


« 


. 


1851 August 20.5 

1852 January 3.5 

1852 July 19.5 

1853 January 8.5 

1854 March 13.5 


O f ft 

271 57 19.76 

313 46 58.27 

49 6 27.33 

66 35 15.96 

174 6 44.57 


O 1 II 

- 24 27 41.28 

- 12 41 35.03 
+ 28 59 10.56 
+ 30 46 35.07 

- 14 27 46.74 


1856 October 15.5 

1858 February 25.5 

1859 May 24.5 

1860 August 24.5 


O 1 // 

10 36 41.36 
152 28 4.57 
219 25 28.73 
325 45 51.73 


+ 28 2 54.83 

- 1 26 19.94 

- 31 21 19.01 

- 49 25.31 



By means of which and the above perturbations were obtained for a first approximation : — 

S M= — 1' 31".2 5 <p = — 2' 39".3 (J tt = + 4' 44".9 d^= — 3' 34".4 

(Jj = 4-ll".9 8fi=: — 0".34332 

and by adding, these corrections to the elements from which we have started we get the corrected elliptical 
elements : — 

1854.0, Washington Mean Time. 

J!fl22° 9 3.0 
. 27 51 57.0) ^_ 
Q, 293 52 7.6) 
*• 11 44 17.1 
(p 10 47 32.6 
(i 825".45421 
log« , 0.4222090 



In order to neglect nothing these elements were corrected once more. The equations of condition from the 
second computation of the normals and the difFerential-coeflScients are : — 



+1.1841 


-2.4611 


+1.2622 


+0.0378 


+0.0167 


-10.9529 


- 8.81 


+0.7803 


-1.2954 


+0.6485 


+0.0456 


-0.1779 


- 5.9148 


- 1.35 


+1.1872 


+0.4821 


+0.7994 


-0.0185 


-0.1462 


- 5.6645 


+ 2.34 


+2.0201 


+2.4619 


+1.5174 


-0.0391 


-0.0107 


- 7.9145 


- 1.79 


+0.9476 


+1.1690 


+1.2832 


+0.0326 


-0.6368 


+ 0.6934 


+ 8.55 


+2.4555 


-0.5757 


+1.6567 


-0.0534 ■ 


-0.7658 


+24.7850 


+16.76 


+1.0839 


+1.9946 


+1.3062 


+0.0871 


-0.5068 


+16.3537 


-14.56 


+1.0058 


-0.9330 


+1.4029 


-0.0617 


-0.3101 


+19.5445 


+ 9.64 


+1.9221 


-2.8205 


+1.5224 


+0.1120 


-0.5060 


+46.5036 


-10.68 




8M dq> 


871 


aS2 


di 


100 3 


^ 


+0.2872 


-0.5734 


+0.2883 


-0.2788 


-0.0807 


- 2.5003 


+ 4.20 


+0.4088 


-0.6695 


+0.3380 


-0.1258 


+0.3468 


- 3.0799 


+ 0.15 


+0.1957 


+0.0852 


+0.1318 


+0.0118 


+0.8800 


- 0.9257 


+ 0.39 


+0.0327 


+0.0568 


+0.0273 


+0.2793 


+0.7637 


- 0.0953 


+ 1.68 


-0.5059 


-0.5362 


-0.7003 


+0.1250 


-1.1525 


- 0.6020 


- 7.66 


+1.1626 


+0.1397 


+0.7786 


-0.0262 


+1.6109 


+12.3054 


+ 5.37 


-0.6061 


-1.0770 


-0.7511 


+0.2079 


-0.8779 


- 9.3529 


+ 6.84 


-0.2668 


+0.3232 


-0.3615 


-0.1265 


-1.2442 


- 5.3754 


- 1.14 


+1.1118 


-1.4654 


+0.8526 


-0.2561 


+0.8961 


+27.2230 


- 7.34 



= 



Final liquations. 



+ 23.8806 




- 3.9333 


+ 20.0588 


-0.4640 


- 0.0(l02 + 197.8080 


+ 9.833" 




- 3.9333 




+ 33.0398 


- 2.7307 


+0.0269 


+ 0.4937 - 143.0647 


+ 16.077 




+ 20.0588 5 


M 


- 2.7307 


dq> + 18.0722 5 n 


-0.3962 SQ 


- 0.0153 8i + 167.6261 100 S /i + 4.063 


1 = 


- 0.4640 




+ 0.0269 


- 0.3962 


+0.3461 


'- 0.3040 - 3.7281 


- 2.412 


- 0.0002 




+ 0.4937 


- 0.0153 


-0.3040 


+10.1839 + 2.5371 


- 1.062 




+197.8080 




-143.9647 


+167.6261 


-3.7281 


+ 2.5371 +4702.3730 


-218.109^ 




from which, 














5 M= — 4".00 






5(p = — 0''.38 




8n = + 3".55 


ag2 = + 


6".85 



di = + 0".31 3 /^ = + 0".00082 

so that we finally have the corrected elements for the construction of the Tables : — 

1854.0, Washington Mean Time. 



M 122 8 58.91 
n 27 52 0.51 

Q 293 52 14.49 

i 11 44 17.36 

(p 10 47 32.18 

fA 825".45503 

log « 0.4222087 

By these elements the normals are represented thus : — 

J a cos 8 ^ S 

—8.7 -1-2.2 



I M. Eq. Ep. 



—1.9 


—1.0 


—0.4 


-1-0.3 


—6.3 


-j-3.8 


-1-9.0 


—7.5 



/i a cos S 

-{-145 
—13.3 
-1-12.0 
— 7.5 



-1-4.8 
4-7.4 
—3.2 
—7.5 



The greater residuals are evidently the effect of the neglected perturbations by Saturn, so that the whole 
speaks well for the perturbations by Jupiter. 



Example for computing a Place from the Tables. 
1863, April \^\5, Berlin M. T. = April 18'^ 5" SS" 15» Washington M. T. 



lege 
9.272419 



1 l-« 
9.835416 



log /J 
0.406708 



We will refer the place to the apparent equinox. Precession from the beginning of the year up to April 
18*.5 = + 14".93; Notation = + 15".28 ; therefore Variation of Q =+ 30".2; Apparent Obliquity 
minus Mean Obliquity at the beginning of the year = — 3".l. 







cos (xi x) 


cos {yi x) 


cos 


(Z,X) 


cos(x,y) 


cos (y, y) 


Table v., 


1863, 


9.936487 


9.670264»i 


9.269220» 


9.534017 


9.911812 


Table VI. 


( + 30".2 
X— 3".l 


—31.1 


+120.8 




—29.3 


+148.9 
+6.2 

9.534172 


—32.3 
— 4.0 




9.936456 


9.670385m 


9.269191» 


9.911784 






cos (zi y) 


COi 


! (Zl z) 




cos (ji z) 


cos («! z) 


Table V., 


1863, 


9.668033m 


9.567775 




9.529821 


9.937137 


Table VI. 


( + 30".2 
X— 3".l 


+23.2 
—11.8 




+59.5 
—6.2 




—30.5 
—15.5 


+3.1 






9.668044» 


9.567828 




9.529775 


9.937135 



Table VII., 1863, 
Table VIII. j+^^;;;2 



A> 

O I II 

118 26 43.1 
+30.29 



BI 

O f II 

22 43 59.7 
+30.41 
+ 0.65 



a 

O I II 

47 30 1.2 
+22.14 
+ 2.26 



log sin a log sin 6 



9.992366 
+0.9 



9.9469^5 
—6.0 
+3-1 



log sin c 

9.700141 
+15.9 
— 9.3 



118 27 13.4 22 44 30.8 47 30 25.6 9.992367 9.946932 9.700148 



M t 

Table I., 1863 155 50 9.59 +8.99932 

April 20 38 10.95 0.24642 

18 days 4 7 38.19 0.04928 

5 hours 2 51.97 0.00057 
68 minutes 33.25 
15 seconds 0.14 

180 39 24.09 +9.29559 

M=^ mean anomaly, and t = time since 1854.0. 



cot ^ Jf 90 19 42.1 

\^ cot A M= cot X v' 90 13 29.2 

v' 180 26 58.4 

From Table II. c + 29.3 

V 180 27 27.7 

cosw 

e cos V — 0.187243 

l+ecos« +0.812757 



7.758234W 
7.593650n 



9.999986« 
9.272405W 
9.909961 
0.496747 



Formation of the Arguments from Tahk III.* 





I. 


II. 


m. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 


1863, 


177.178 


333.014 


150.192 


327.370 


101.86 


123.21 


128.85 


21.34 


155.84 


284.69 


April, 


352.523 


13.158 


5.680 


358.200 


46.94 


18.83 


33.79 


331.89 


20.64 


54.43 


18 days 


358.504 


2.632 


1.136 


359.640 


9.39 


3.76 


6.76 


354.38 


4.12 


10.89 


6 hours 


359.979 


0.037 


0.016 


359.995 


0.13 


0.05 


0.10 


359.92 


0.05 


0.15 



168.184 348.841 157.024 325.205 158.32 145.85 169.50 347.53 180.65 350.16 



XI. XIL XIII. XIV. XV. XVI. XVII. XVIII. XIX. XX. 

1863, 144.55 96.22 225.51 80.5 198.5 74.9 15.7 117.6 321.7 273.4 

24.5 
4.9 
0.1 



AprU, 350.73 31.99 311.24 75.1 324.4 60.1 316.9 3.9 343.3 

18 days 358.15 6.40 350.24 15.0 352.8 12.0 351.4 0.7 356.6 

6 hours 359.98 0.09 359.86 0.2 359.9 0.2 359.9 0.0 359.9 



133.41 134.70 166.85 170.8 155.6 147.2 323.9 122.2 301.5 302.9 





XXI. 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII. 


XXVIII. 


XXIX. 


XXX. 


1863, 


230.7 


53.5 


219.9 


69.2 


138.9 


111.9 


246.8 


267.8 


64.9 


63.6 


April, 


80.7 


88.2 


296.3 


45.2 


335.8 


348.9 


283.2 


9.6 


2.1 


30.2 


18 days 


16.2 


17.6 


347.2 


9.0 


355.2 


357.8 


344.7 


2.0 


0.4 


6.1 


6 hoars 


0.2 


0.3 


359.8 


O.I 


359.9 


0.0 


359.8 


0.0 


0.0 


0.0 




327.8 


159.6 


143.2 


123.5 


109.8 


98.6 


154.5 


279.4 


87.4 


99.9 





XXXI. 


XXXII. 


XXXIII. 


XXXIV. 


XXXV. 


1863, 


236 


133 


48 


316 


182 


April, 


06 


321 


73 


328 


122 


18 days 


19 


353 


15 


353 


25 




351 


87 


136 


277 


329 



XXXVI. XXXVII. XXXVIII. XXXIX. XL. 

42 10 70 5 219 

58 302 291 130 51 

11 349 346 26 10 

111 301 347 161 280 





XLI. 


XLII. 


XLIII. 


XLIV. 


XLV. 


XL VI. 


XL VII. 


XL VIII. 


XLIX. 


1863, 


37 


32 


268 


21 


193 


15 


338 


214 


187 


April, 


43 


116 


255 


87 


310 


71 


143 


281 


294 


18 days 


9 


23 


339 


18 


350 


14 


29 


345 


347 




89 


171 


142 


126 


133 


100 


150 


119 


108 



* The Arguments being expressed in degrees and decimals, 360.0, 720.0, or 1080.0, must be subtracted when one of the sums 
is greater than one of those numbers. 



10 
From TaUe IV. 





1' 


v' 


r 






+ 


- 


+ 


_ 


+ 


_ 








t 


56.8 




3460.1 




134.8 




cos (a:, a:) E' 


- 1558.3 




I 




5081.9 


1559.0 




368.8 




cos (Vi x) r,l 


- 3380.7 




II 
III 


4208.1 
3079.5 




904.8 


596.9 


236.2 


42.3 


cos (si x) C 


- 280.3 




- 5219.3 


IV 




3014.0 


1418.0 




227.6 










V 




1403.9 




271.7 


1.4 




cos (x, t/) i' 


617.1 




VI 




677.8 


849.5 




706.6 




COS (y, y) I)' 


+ 5894.0 




vn 


1009.3 




151.2 






83.9 


cos {zi y) t' 


- 702.1 




VIII 


101.6 






25.2 




63.1 


V 


+ 4574.8 




IX 




216.9 




23.0 


113.4 










X 




141.3 




17.1 


8.3 




COS {x^ z) 5' 


- 666.8 




XI 




78.2 


117.9 




11.6 




cos (^1 z) ri' 


+ 2445.6 




xn 


81.1 




39.7 






48.3 


cos («i z) V 


+ 1304.7 




XIII 




40.1 


12.9 




7.8 




K 


+ 3083.5 




XIV 


40.8 




6.4 






0.9 




/ ;/ 




XV 


718.5 






130.8 




20.6 


sin (A' + v) 


298 54 41.1 


9.942191„ 


XVI 




366.4 




125.6 


6.8 




T sin a 




0.489114 


* XVII 
XVIII 


27.7 


214.8 




132.1 
67.4 


4.5 


10.4 


X 

sin (B' + v) 




0.431305„ 


203 11 58.5 


9.595425„ 


XIX 


108.6 




136.1 






2.1 


r sin6 




0.443679 


XX 




61.3 


63.4 






36.2 


y 




0.039104„ 


XXI 

XXII 

XXIII 

XXIV 

XXV 

XXVI 

xxvn 

XXVIII 

XXIX 

XXX 

XXXI 

XXXII 

xxxin 

XXXIV 


94.6 

44.7 
31.6 

29.7 
4.7 

12.9 

3.8 
5.5 
1.5 


91.3 


34.3 
29.3 


19.8 

54.3 
22.7 
23.0 
4.7 
31.7 

16.2 
1.5 

7.2 




1.0 

0.5 
5.5 

0.2 

1.0 


sin (C'+ u) 
r sin c 


227 57 52.3 


9.870833„ 

0.196895 

0.067728„ 


59.6 
21.9 

10.2 
9.3 


5.0 

8.8 
8.5 




y 

1 

Y 

J cos S sin a 

X 

i 

X 

J cos S cos a 
cos a 


-1.094218 
+ 4575 
+0.438486 
-0.651157 


9.813686„ 


-2.699635 
- 5219 
+0.883932 
-1.820922 

O / 11 


0.260291 „ 


9.973869„ 


XXXV 


5.5 




2.2 








tan a 


199 40 37.0 


9.553395 


XXXVI 


8.^ 






5.8 




1.8 








XXXVII 


5.6 




0.7 








z 


-1.168768 




XXX VUI 


5.0 






3.2 




0.9 


i 


+ 3084 




XXXIX 




5.0 




1.0 






z 


+0.190261 




XL 




0.5 




2.1 




1.2 


J sin i 


-0.975423 


9.989193„ 


XLI 




0.8 




0.9 






J cos i 




0.286422 


XLII 


2.2 




0.3 








cos i3 


O / // 


9.950780 


XLIII 


2.0 




1.4 








tan i 


-26 45 58.1 


9.702771 „ 


XLIV 


1.1 






2.9 












XLV 


1.1 




1.8 








d 




0.335642 


XL VI 


2.2 






1.1 












XL VII 




1.1 




0.5 












XL VIII 




1.4 




0.3 












XLIX 




0.3 




1.1 














9694.2 


11498.0 


8811.3 


1589.9 


1827.9 


319.9 


s", r,', ?' 


-\i. 


03.8 


+75 


!21.5 


+15 


07.9 • 









11 

For the computation of an opposition ephemeris, only the secular perturbations and the first thirty terms 
will be necessary, since the remaining nineteen terms have no notable effect upon the geocentric place, the 
sum of them being always near zero. The ephemeris for 1863 from the manuscript Tables had been com- 
puted with those terms ; from the above complete computation follows the correction of the ephemeris for 
April 18.5 in a — O'.Ol and in d -|-0".8. The comparison of a Berlin meridional observation on the 17th 
with the ephemeris gave comp. obs. in « -|-0'.53 and in d — 5".7, or, with the corrected ephemeris, -)-0'.52 and 
4."9. Since the perturbations by Saturn have been neglected, and this compared observation is four years 
after the last of the Normals used for the determination of the elements, the Tables can be considered satis- 
factory. 



12 







TABLE I. 










FOR THE MEAN ANOMALY. 






The times are referred to the meridian of Washington. 




Years. 


M 


t 


Years. 


M 


t 


1851 


230 50 40".20 


- 3.00068 


18765 


164 44 55".54 


+22.00137 


18525 


314 45 56.74 


1.99863 


1877 


248 26 26.63 


23.00068 


1853 


38 27 27.82 


- 0.99932 


1878 


332 7 57.71 


24.00000 


1854 


122 8 58.91 


0.00000 


1879 


55 49 28.80 


24.99932 


1855 


205 50 30.00 


+ 0.99932 


18805 


139 44 45.34 


26.00137 


1856-S 


269 45 46.54 


2.00137 


1881 


223 26 16.43 


27.00068 


1857 


13 27 17.62 


3.00068 


1882 


307 7 47.51 


28.00000 


1858 


97 8 48.71 


4.00000 


1883 


30 49 18.60 


28.99932 


1859 


180 50 19.80 


4.99932 


18845 


114 44 35.14 


30.00137 


1860-B 


264 45 36.34 


6.00137 


1885 


198 26 6.23 


31.00068 


1861 


348 27 7.42 


7.00068 


1886 


282 7 37.31 


32.00000 


1862 


72 8 38.51 


8.00000 


1887 


5 49 8.40 


32.99932 


1863 


155 50 9.59 


8.99932 


18885 


89 44 24.94 


34.00137 


18645 


239 45 26.14 


10.00137 


1889 


173 25 56.03 


35.00068 


1865 


323 26 57.22 


11.00068 


1890 


257 7 27.11 


36.00000 


1866 


47 8 28.32 


12.00000 


1891 


340 48 58.20 


36.99932 


1867 


130 49 59.40 


12.99932 


18925 


64 44 14.74 


38.00137 


18685 


214 45 15.94 


14.00137 


1893 


148 25 45.82 


39.00063 


1869 


298 26 47.03 


15.00068 


1894 


232 7 16.91 


40.00000 


1870 


22 8 18.12 


16.00000 


1895 


315 48 48.00 


40.99932 


1871 


105 49 49.20 


16.99932 


18965 


39 44 4.54 


42.00137 


18725 


189 45 5.74 


18.00137 


1897 


123 35 35.62 


43.00068 


1873 


273 26 36.83 


19.00068 


1898 


207 7 6.71 


44.00000 


1874 


357 8 7.92 


20.00000 


1899 


290 48 37.80 


44.99932 


1875 


80 49 39.00 


+20.99932 


19005 


14 43 54.34 


+46.00137 


Months. 


M 


t 


Days. 


M 


t 


January 


t n 
0.00 


+ 0.00000 


1 


O 1 II 

13 45.46 


+ 0.00274 


Februai-y 


7 6 29.11 


0.08488 


2 


27 30.91 


0.00548 


March 


13 31 41.85 


0.16154 


3 


41 16.37 


0.00821 


April 


20 38 10.95 


0.24642 


4 


55 1.82 


0.01095 


May- 


27 30 54.60 


0.32856 


5 


1 8 47.28 


0.01369 


June 


34 37 23.71 


0.41344 


6 


1 22 32.73 


0.01643 


July 


41 30 7.36 


0.49558 


7 


1 36 18.19 


0.01917 


August 


48 36 36.47 


0.58046 


8 


1 50 3.64 


0.02190 


September 


55 43 5.57 


0.66534 


9 


2 3 49.10 


0.02464 


October 


62 35 49.22 


0.74748 


10 


2 17 34.55 


0.02738 


November 


69 42 18.33 


0.83236 


20 


4 35 9.10 


0.05476 


December 


76 35 1.98 


+ 0.91450 


30 


6 52 43.65 


+ 0.08214 




In Bissextile Years on 


B day must be subtracted from the d 


ate in the first two mon 


ths. 



13 















TABLE I. Concluded. 








FOR THE MEAN ANOMALY. 






The times are referred to the meridian of Washington. 




Houi-s. 


M 


t 


Hours. 


M 


t 


1 


34".39 


+0.00011 


13 


7 27.12 


+0.00149 


2 


1 8.79 


0.00023 


14 


8 1.52 


0.00160 


3 


1 43.18 


0.00034 


15 


8 35.91 


0.00172 


4 


2 17.58 


0.00046 


16 


9 10.30 


0.00183 


5 


2 51.97 


0.00057 


17 


9 44.70 


0.00195 


6 


3 26.36 


0.00069 


18 


10 19.09 


0.00206 


7 


4 0.76 


0.00080 


19 


10 53.49 


0.00218 


8 


4 35.15 


0.00092 


20 


11 27.88 


0.00229 


9 


5 9.55 


0.00103 


21 


12 2.27 


0.00241 


10 


5 43.94 


0.00114 1 22 


12 36.67 


0.00252 


11 


6 18.33 


0.00126 


23 


13 11.06 


0.00264 


12 


6 52.73 


+0.00137 


24 


13 45.46 


+0.00275 




M 




M 




For Minutes. 


For Seconds. 


For Minutes. 


For Seconds. 


1 


0.57 


0.01 


31 


It 
17.77 


// 
0.29 


2 


1.15 


0.02 


32 


18.34 


0.30 


3 


1.72 


0.03 


33 


18.92 


0.31 


4 


2.29 


0.04 


34 


19.49 


0.32 


5 


2.87 


0.05 


35 


20.06 


0.33 


6 


3.44 


0.06 


36 


20.64 


0.34 


7 


4.01 


0.07 


37 


21.21 


0.35 


8 


4.59 


0.08 


38 


21.78 


0.36 


9 


5.16 


0.09 


39 


22.35 


0.37 


10 


5.73 


0.10 


40 


22.93 


0.38 


11 


6.31 


0.10 


41 


23.50 


0.39 


12 


6.88 


0.11 


42 


24.07 


0.40 


13 


7.45 


0.12 


43 


24.65 


0.41 


14 


8.02 


0.13 


44 


25.22 


0.42 


15 


8.60 


0.14 


45 


25.79 


0.43 


16 


9.17 


0.15 


46 


26.37 


0.44 


17 


9.74 


0.16 


47 


26.94 


0.45 


18 


10.32 


0.17 


48 


27.51 


0.46 


19 


10.89 


0.18 


49 


28.09 


0.47 


20 


11.46 


0.19 


50 


28.66 


0.48 


21 


12.04 


0.20 


51 


29.23 


0.48 


22 


12.61 


0.21 


52 


29.81 


0.49 


23 


13.18 


0.22 


53 


30.38 


0.50 


24 


13.76 


0.23 


54 


30.95 


0.51 


25 


14.33 


0.24 


55 


31.53 


0.52 


26 


14.90 


0.25 


56 


32.10 


0.53 


27 


15.48 


0.26 


57 


32.67 


0.54 


28 


16.05 


0.27 


58 


33.25 


0.55 


29 


16.62 


0.28 


59 


33.82 


0.56 


30 


17.20 


0.29 


60 


34.39 


0.57 



14 













TABLE II. 














FOR THE CORRECTION 


c TO BE ADDED TO THE AUXILIARY ANOMALY 


V'. 








Argument = M 


. Por JIf > 180° the 


Argument is 360° 


— M, and the sign of 


c to be reversed. 








Arg. 


c 


Diff. 


Arg. 


c 


Difif. 


Arg. 


c 


DifF. 


Arg. 


c 


Diff. 








0.0 

.5 

1.0 


0.00 
+ 47.32 

1 34.60 


+47.3S 

47.28 



22.5 

23.0 

.5 


+28 54.12 
29 16.20 
29 37.34 


+22-08 
21-14 



45.0 
.5 
46.0 


+29 59.12 
29 41.15 
29 22.51 


-17.97 

18.64 



67.5 

68.0 

.5 


+ 8 59.88 
8 26.53 
7 53.16 


II 

-33.35 

33-37 






.5 
2.0 


2 21.83 

3 8.99 


47.23 
47-16 


24.0 
.5 


29 57.52 

30 16.74 


20-18 
19-22 


.5 
47.0 


29 3-21 
28 43.27 


19-30 
19-94 


69.0 
.5 


7 19.78 
6 46.41 


33-38 
33.37 






.5 


3 56.04 


47-05 


25.0 


30 35.00 


18-26 


.5 


28 22.70 


20-67 


70.0 


6 13.05 


33.36 






3.0 
.5 


4 42.94 

5 29.68 


46.90 
46.75 


.5 
26.0 


30 52.29 

31 8.62 


17-29 
16-33 


48.0 
.5 


28 1.52 
27 39-74 


21-18 
21-78 


.5 
71.0 


5 39.71 
5 6.42 


33-34 
33-29 






4.0 


6 16.23 


46.65 


.5 


31 23.99 


15-37 


49.0 


27 17-39 


22-36 


.5 


4 33.18 


33-24 






.5 

5.0 


7 2.55 
7 48.62 


46.32 
46.07 


27.0 
.5 


31 38.38 
31 51.81 


14-39 
13-43 


.5 
50.0 


26 54.47 
26 30.99 


22-92 
23-48 


72.0 
.5 


4 0.00 
3 26.89 


33. 18 
33-11 






.5 


8 34.41 


45.79 


28.0 


32 4.26 


12-45 


.5 


26 6.98 


24-01 


73.0 


2 53.87 


33-02 






6.0 


9 19.87 


45.46 


.5 


32 15.74 


11-48 


51.0 


25 42.45 


24-53 


.5 


2 20.94 


32-93 






.5 
7.0 


10 4.97 
10 49.71 


45.10 
44.74 


29.0 
.5 


32 26.24 
32 35.77 


10-60 
9-63 


.5 
52.0 


25 17.41 
24 51.88 


26-04 
25-63 


74.0 
.5 


1 48.12 
1 15.41 


32-82 
32-71 






.5 


11 34.07 


44-36 


30.0 


32 44.32 


8-66 


.5 


24 25.87 


26-01 


75.0 


42.81 


32-60 






8.0 


12 18.02 


43-95 


.5 


32 51.90 


7-68 


53.0 


23 59.40 


26-47 


.5 


+ 10.34 


33-47 






.5 
9.0 


13 1.54 
13 44.60 


43-82 
43-06 


31.0 
.5 


32 58.52 

33 4.17 


6-62 
6-65 


.5 
54.0 


23 32.49 
23 5.15 


26-91 
27-34 


76.0 
.5 


- 21.97 

54.14 


32-31 
82-17 






.5 


14 27.18 


42.58 


32.0 


33 8-86 


4-69 


.5 


22 37.39 


27-76 


77.0 


1 26.15 


32-01 






10.0 


15 9.24 


42-06 


.5 


33 12.60 


3-74 


55.0 


22 9.24 


28-15 


.5 


1 57.99 


31-84 






.5 


15 50.78 


41-54 


33.0 


33 15-39 


2-79 


.5 


21 40-71 


28-53 


78.0 


2 29.66 


31.67 






11.0 


16 31.75 


40-97 


.5 


33 17-24 


1-86 


56.0 


21 11.82 


28-89 


.5 


3 1.14 


31.48 






.5 


17 12.14 


40-39 


34.0 


33 18-15 


+ 0-91 


.5 


20 42.59 


29-23 


79.0 


3 32.42 


31-28 






12.0 


17 51.91 


39-77 


.5 


33 18.13 


- 0-02 


57.0 


20 13.01 


29-68 


.5 


4 3.50 


31-08 






.5 


18 31.03 


39-12 


35.0 


33 17.19 


0-94 


.5 


19 43.11 


29-90 


80.0 


4 34.37 


30-67 






13.0 


19 9.50 


38-47 


.5 


33 15.33 


1-86 


58.0 


19 12.90 


30-21 


.5 


5 5.03 


30.66 






.5 


19 47.30 


37-80 


36.0 


33 12.57 


2-76 


.5 


18 42.40 


30-60 


81.0 


5 35.46 


30-43 






14.0 

.5 

15.0 


20 24.42 

21 0.85 
21 36.55 


37-12 
36-43 
36-70 


.5 

37.0 
.5 


33 8.91 
33 4.36 
32 58.92 


3-66 
4-65 
5-44 


59.0 

.5 

60.0 


18 11.62 
17 40.57 
17 9.26 


80-78 
31-05 
31-31 


.5 

82.0 

.5 


6 5.66 

6 35.62 

7 5.34 


30.20 
29.96 
29.73 






.5 


22 11.51 


34-96 


38.0 


32 52.61 


6-31 


.5 


16 37.74 


31-52 


83.0 


7 34.80 


29.46 






16.0 


22 45.71 


34-20 


.5 


32 45.43 


7-13 


61.0 


16 6.01 


31-73 


.5 


8 4.00 


29.20 






.5 


23 19.14 


33-43 


39.0 


32 37.41 


8-02 


.5 


15 34.07 


31-94 


84.0 


8 32.93 


28.93 






17.0 


23 51.77 


32-63 


.5 


32 28.55 


8*86 


62.0 


15 1.94 


32-13 


.5 


9 1.59 


28-66 






.5 


24 23.59 


31-82 


40-0 


32 18.86 


9-69 


.5 


14 29.63 


32-31 


85.0 


9 29.97 


28-38 






18.0 
.5 


24 54.57 

25 24.69 


30-98 
30-12 


.5 
41.0 


32 8.35 
31 57.04 


10-51 
11-31 


63.0 
.5 


13 57.16 
13 24.54 


32-47 
32-62 


.5 

86.0 


9 58.07 
10 25.88 


37-10 
27-81 






19.0 


25 53.96 


29-27 


.5 


31 44.94 


12-10 


64.0 


12 51.79 


32-75 


.5 


10 53.40 


27-62 






.5 

20.0 
.5 


26 22.37 

26 49.91 

27 16.56 


28-41 
27-64 
26-65 


42.0 

.5 

43-0 


31 32.06 
31 18.41 
31 4.01 


12"88 
13-65 
14-40 


.5 

65.0 

.5 


12 18.91 
11 45.93 
11 12.85 


32-88 
32-98 
33-08 


87.0 
.5 

88.0 


11 20.61 

11 47.52 

12 14.12 


27-21 
26-91 
26-60 






21.0 


27 42.32 


25-76 


•5 


30 48.87 


15-14 


66.0 


10 39.70 


33-15 


.5 


12 40.40 


26-28 






.5 


28 7.17 


24-85 


44-0 


30 33.00 


15-87 


.5 


10 6.48 


33-22 


89.0 


13 6.36 


25-96 






22.0 
.5 


28 31.11 
+28 54.12 


23-94 
+23-01 


.5 
45.0 


30 16.41 
+29 59.12 


16-59 
-17-29 


67-0 
.5 


9 33.20 

+ 8 59.88 


33-28 
-33-32 


•5 
90.0 


13 32.00 
-13 57.30 


26-64 
-25-30 








cot J t»' = 


l + e 


t§3/ 


Tri 


ae Anomaly v = t 


>' + c 


log 


1 — e 

l + e~ 


9.8354158 










r = 


P 






;„„„_( 


).406708I 




log e = 


9.2724191 








1 + e CO 


3 V 




"S /' ' 





15 











TABLE U 


. — Concluded. 










FOR THE CORRECTION 


C TO BE ADDED TO THE AUXILIARY ANOMALY 


V'. 




Argument = 3i. For Af > 180° the 


Argument is 360° 


— M, and the 


sign of c 


to be reversed. 




Arg. 


c 


DifF. 


Arg. 


c 


Diff. 


Arg. 


c 


DiflF. 


Arg. 


c 


Diff. 





1 II 


II 


o 


1 // 


<i 





1 II 


// 


o 


/ /( 


11 


90.0 


-13 57.30 




112-5 


-26 30-64 




135-0 


-26 10-44 




157.5 


-15 44-57 




.5 


14 22.28 


-24-98 


113-0 


26 38.37 


- 7-73 


.5 


26 2-17 


+ 8-27 


158.0 


15 25-89 


+18-68 


91.0 


14 46.92 


24-64 


.5 


26 45.70 


7-33 


136-0 


25 53.60 


8-67 


.5 


15 7.05 


18-84 


.5 


15 11.21 


24-29 


114-0 


26 52.63 


6-93 


.5 


25 44.73 


8-87 


159.0 


14 48-07 


18-98 


92.0 


15 35.15 


23-94 


-5 


26 59.17 


6-64 


137.0 


25 35.57 


9.16 


.5 


14 28-93 


19-14 


.5 


15 58.75 


23-60 


115-0 


27 5.32 


6-16 


.5 


25 26.11 


9.46 


160.0 


14 9-65 


19-28 


93.0 


16 21.99 


33-34 


-5 


27 11.08 


6.76 


138.0 


25 16.37 


9.74 


.5 


13 50-25 


19-40 


.5 


16 44.88 


22-89 


116-0 


27 16-45 


6.37 


-5 


25 6.34 


10.03 


161.0 


13 30-70 


19-55 


94.0 


17 7.41 


22-53 


-5 


27 21.43 


4.98 


139-0 


24 56.02 


10.33 


.5 


13 11-01 


19-69 


.5 


17 29.58 


22.17 


117-0 


27 26-03 


4-60 


-5 


24 45.43 


10.59 


162.0 


12 51-19 


19-82 


95.0 


17 51.38 


21-80 


.5 


27 30.25 


4-22 


140-0 


24 34.56 


10.87 


.5 


12 31-24 


19-96 


.5 


18 12.81 


21-43 


118-0 


27 34-18 


3.93 


-5 


24 23-41 


11.16 


163.0 


12 11-16 


30-08 


96.0 
.5 


18 33.87 
18 54.55 


21-06 
20-68 


.5 
119-0 


27 37-53 
27 40-61 


3-36 
3-08 


141-0 
-5 


24 12-00 
24 0-32 


11.41 
11.68 


.5 

164.0 


11 50-97 
1} 30-65 


20-19 
20-32 


97.0 
.5 

98.0 
.5 


19 14.87 
19 34.80 

19 54.35 

20 13-52 


20-32 
19-93 
19-55 
19-17 


.5 
120.0 

.5 
'121.0 


27 43-30 
27 45-62 
27 47-57 
27 49-14 


2.69 
2.32 
1.95 
1.67 


142-0 
-5 

143-0 
.5 


23 48-37 
23 36-17 
23 23-70 
23 10-98 


11.96 
12.20 
12.47 
12.72 


.5 
165.0 

.5 
166-0 


11 10-23 
10 49-69 
10 29-05 
10 8-30 


20-42 
20-64 
30-64 
20-76 


99.0 

.5 

100.0 


20 32-31 

20 50-72 

21 8-73 


18-79 
18-41 
18-01 


.5 

122.0 

.5 


27 50-34 
27 51-17 
27 51-64 


1.20 
0.83 
0.47 


144-0 

•5 

145-0 


22 58-01 
22 44-79 
22 31-33 


12.97 
13.32 
13-46 


-5 

167-0 

.5 


9 47-46 
9 26-52 
9 5-49 


20-64 
20-94 
21-03 


.5 


21 26-36 


17-63 


123.0 


27 51-74 


- 0.10 


-5 


22 17-62 


13-71 


168-0 


8 44-37 


21-12 


101.0 
.5 

102.0 
.5 

103.0 
.5 

104.0 


21 43-60 

22 0-45 
22 16-90 
22 32-96 

22 48-62 

23 3-89 
23 18.76 


17-24 
16-85 
16-45 
)6-06 
16-66 
15-27 
14-87 


-5 
124-0 

-5 
125-0 

.5 
126-0 

-5 


27 51-48 
27 50-85 
27 49-86 
27 48-52 
27 46-83 
27 44-78 
27 42-39 


+ 0-26 
0-63 
0-99 
1-34 
1-69 
2-05 
2-39 


146-0 
■5 

147-0 
•5 

148-0 
•5 

149-0 


22 3-67 
21 49-49 
21 35-08 
21 20-43 
21 5-56 
20 50-47 
20 35-16 


13.95 
14-18 
14.41 
14.65 
14.87 
16.09 
15.31 
15.53 
15.73 
16.96 
16.16 
16.36 
16.66 
16.76 
16.94 
17-13 
17-32 
17-51 
17-68 
17-85 
18-02 
18-20 
18-38 
+18-63 


.5 
169-0 

.5 
170.0 

.5 
171.0 

.5 


8 23-16 
8, 1-87 
7 40-50 
7 19-06 
6 57-55 
6 35-97 
6 14-33 


31-21 
21-29 
21-37 
31-44 
21-61 
31-.58 
. 21-64 
31-71 
31-77 
31-61 


.5 

105.0 


23 33-24 
23 47-31 


14-48 
14-07 


127-0 
-5 


27 39-64 
27 36-55 


2-76 
3-09 


-5 
150-0 


20 19-63 
20 3-90 


172.0 
.5 


5 52-62 
5 30-85 


.5 
106-0 


24 0-99 
24 14-27 


13-6S 
13-28 


128-0 
•5 


27 33-11 
27 29-34 


3-44 
3-77 


•5 
151-0 


19 47-95 
19 31-80 


173.0 
.5 


5 9-04 
4 47-18 


31-86 
31-91 


.5 


24 27-15 


12-88 


129-0 


27 25-22 


4-12 


•5 


19 15-44 


174.0 


4 25-27 


31-96 


107.0 


24 39-64 


12-49 


-5 


27 20-78 


4-44 


152-0 


18 58-88 


.5 


4 3-31 


21-99 


.5 

108.0 


24 51-73 

25 3-41 


12-09 
11-68 


130-0 
■5 


27 15-99 
27 10-88 


4-79 
5-11 


•5 
153-0 


18 42-13 
18 25-19 


175.0 
.5 


3 41-32 
3 19-28 


22-04 
22"06 
22'09 


.5 


25 14-68 


11-27 


131-0 


27 5-44 


6-44 


•5 


18 8-06 


176.0 


2 57-22 


109.0 


25 25-56 


10-88 


•5 


26 59-68 


6-76 


154-0 


17 50-74 


.5 


2 35-13 


22*12 


.5 


25 36-05 


10-49 


132-0 


26 53-59 


6-09 


•5 


17 33-23 


177.0 


2 13-01 


22' 14 


110.0 


25 46-13 


10-08 


•5 


26 47-19 


6-40 


155-0 


17 15-55 


.5 


1 50-87 


32*15 


.5 
111-0 


25 55-83 

26 5-12 


9-70 
9-29 


133-0 
-5 


26 40-46 
26 33-42 


6-73 
7-04 


•5 
156-0 


16 57-70 
16 39-68 


178.0 
.5 


1 28-72 
1 6-55 


22*17 

22*18 


.5 

112.0 

.5 


26 14-02 

26 22-53 

-26 30-64 


8-90 

8-51 

- 8-11 


134-0 

•5 

135-0 


26 26-07 

26 18-41 

-26 10-44 


7-35 

7-66 

+ 7-97 


•5 

157-0 

-5 


16 21-48 

16 3-10 

-15 44-57 


179.0 

.5 

180-0 


44-37 

- 22-18 

0-00 


22*19 
+22*18 




cot ^ b' = 


P 


)tJAf 


Tr 


ue Anom 


aly V = 1 
logp = 


y + c 

3.4067081 


log 


1 — e 
1 + e 

loge = 


9.8354158 
9.2724191 






T - 


~ 1 + « CO 


sv 


















16 











TABLE III. 


















FOR THE 


ARGUMENTS. 














A. 


For the different Years. The times are refeiTcd to the meridian of Washington. 






Years. 


I. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 

1 






o 





o 


o 


O 





O 








o 




1851 


181.332 


52.177 


233.509 


54.841 


335.20 


285.69 


283.02 


310.49 


230-84 


153.87 




ia-)2fl 


150.924 


105.688 


256.613 


47.536 


166.14 


2.30 


60.45 


196.16 


314-77 


15.22 




1833 


120.598 


159.056 


279.654 


40.252 


356.57 


78.71 


197.51 


82.14 


38.46 


235.97 




1854 


90.273 


212.422 


302.695 


32.968 


186.99 


155.12 


334.57 


328.12 


122.15 


96.72 




1835 


59.947 


265.789 


325.736 


25.683 


17.41 


231.52 


111.63 


214.11 


205.84 


317.47 




1856S 


29.539 


319.301 


348.840 


18.378 


208.37 


308.14 


249.06 


99.78 


289.76 


178.83 




1857 


359.213 


12.668 


11.881 


11.094 


38.79 


24.55 


26.12 


345.76 


13.45 


39.58 




1858 


328.888 


66.035 


34.922 


3.810 


229.22 


100.96 


163.18 


231.74 


97.15 


260.33 




1859 


298.562 


119.401 


57.964 


356.526 


59.64 


177.36 


300.24 


117.72 


180.84 


121.08 




1860B 


268.154 


192.914 


81.068 


349.222 


250.59 


253.98 


77.67 


3.39 


264.76 


342.43 




1861 


237.828 


226.281 


104.109 


341.937 


81.01 


330.39 


214.73 


249.38 


348.45 


203.18 




1862 


207.503 


279.647 


127.150 


334.653 


271.44 


46.80 


351.79 


135.36 


72.14 


63.94 




1803 


177.178 


333.014 


150.192 


327.370 


101.86 


123.21 


128.85 


21.34 


155.84 


284.69 




1864 B 


146.769 


26.527 


173.296 


320.065- 


292.81 


199.82 


266.28 


267.01 


239.76 


146.04 




1865 


116.444 


79.893 


196.337 


312.781 


123.23 


276.23 


43.34 


152.99 


323.45 


6.79 




1866 


86.119 


133.260 


219.379 


305.497 


313.66 


352.64 


180.40 


38.98 


47.14 


227.54 




1867 


55.793 


186.627 


242.420 


298.213 


144.09 


69.05 


317.46 


284.96 


130.83 


88.29 




1868B 


25.385 


240.139 


265.524 


290-909 


335.03 


145.66 


94.89 


170.63 


214.75 


309.65 




1869 


355.060 


293.506 


288.566 


283.626 


165.46 


222.07 


231.95 


56.61 


298.45 


170.40 




1870 


324.734 


346-873 


311.607 


276.342 


355.88 


298.48 


9.01 


302.60 


22.14 


31.15 




1871 


294.409 


40.240 


334.649 


269.058 


186.31 


14.89 


146.07 


188.58 


105.83 


251.90 




1872B 


264.001 


93.753 


357-753 


261.754 


17.26 


91.51 


283.50 


74.25 


189.75 


1 13.26 




1873 


233-676 


147.119 


20.795 


254-471 


207.68 


167.91 


60.56 


320.23 


273.44 


334.01 




1874 


203.350 


200.486 


43.836 


247.187 


38.11 


244.32 


197.62 


206.21 


357.14 


194.76 




1875 


173.025 


253-853 


66-878 


239.904 


228.53 


320.73 


334.68 


92.20 


80.83 


55.51 




•1876B 


142.617 


307-366 


89.983 


232.600 


.59.48 


37.35 


112.11 


337.87 


164.75 


276.86 




1877 


112.292 


0.733 


113-025 


225.316 


249.91 


113.76 


249.17 


223.85 


248.44 


137.61 




1878 


81.967 


54-100 


136-067 


218.033 


80.33 


190.17 


26.23 


109-83 


332.13 


358.36 




1879 


51.642 


107-467 


159-108 


210-750 


270.76 


266.57 


163.29 


355-82 


55.82 


219-12 




1880B 


21.234 


160-980 


182-213 


203-447 


101.70 


343.19 


300.73 


241.49 


139.75 


80-47 




1881 


350.908 


214.346 


205-255 


196-163 


292.13 


59.60 


77.78 


127.47 


223.44 


301-22 




1882 


320.583 


267.713 


228-296 


188-879 


122.55 


136.01 


214.84 


13.45 


307.13 


161-97 




1883 


290.258 


321-080 


251-337 


181-595 


312.98 


212.42 


351.90 


259.44 


30.82 


22-72 




1884B 


259.849 


14-592 


274-441 


174-290 


143.93 


289.03 


129.34 


145.11 


114.74 


244-08 




1885 


229.524 


67.959 


297-483 


167-007 


334.35 


5.44 


266.39 


31.09 


198.44 


104-83 1 




1886 


199.198 


121-326 


320-524 


159-723 


164.78 


81.85 


43.45 


277.07 


282.13 


325-58 




1887 


168.873 


174-692 


343-566 


152-439 


355.20 


158.26 


180-51 


163.05 


5.82 


186-33 




1888B 


138.465 


228-205 


6-670 


145-134 


186.15 


234.87 


317.94 


48.72 


89.74 


47-69 




1889 


108.139 


281-572 


29-711 


137-851 


16.58 


311.28 


95.00 


294.71 


173.43 


268-44 




1890 


77-814 


334-939 


52-753 


130-567 


207.00 


27.69 


232.06 


180.69 


257.12 


129-19 




1891 


47.489 


28-305 


75-794 


123-283 


37.43 


104.10 


9.12 


66-67 


340.82 


349-94 




1892S 


17-080 


81-818 


98-898 


115-978 


228-37 


180.72 


146.56 


312-34 


64.74 


211.29 




1893 


346-755 


135-185 


121-940 


108-695 


58-80 


257.12 


283-61 


198-33 


148.43 


72.04 




1894 


316-430 


168-551 


144-981 


101-410 


249-22 


333.53 


60.67 


84-31 


232.12 


292-79 




1895 


286-104 


241-918 


168-022 


94-127 


79.65 


49.94 


197.73 


330-29 


315.81 


153-55 




1896B 


255-696 


295-430 


191-126 


86-822 


270.60 


126.56 


335.16 


215-96 


39.73 


14-90 




1897 


225-371 


348-797 


214-168 


79-538 


101.02 


202.96 


112-22 


101-94 


123.43 


235-65 




1898 


195-045 


42-164 


237-209 


72-254 


291.45 


279.37 


249.28 


347-93 


207.12 


96-40 




1899 


164-720 


95-530 


260-250 


64-970 


121.87 


355.78 


26.34 


233-91 


290.81 


317-15 




1900B 


134-311 


149.043 


283-355 


57-666 


312.82 


72.40 


163.78 


119-58 


14.73 


178.51 





17 



TABLE III. — ConHmed. 

FOR THE ARGUMENTS. 

A. For the different Years. The times are referred to the meridian of Washington. 



Years. 



1851 

18.52B 

1853 

1854 

1855 

18568 

1857 

1858 

1859 

1860B 

1861 

1862 

1863 

1864 B 

1865 

1866 

1867 

1868B 

1869 

1870 

1871 

1872B 

1873 

1874 

1875 

1876B 

1877 

1873 

1879 

1880B 

1881 

1882 

1883 

1884B 

1885 

1886 

1887 

1888B 

1889 

1890 

1891 

1892B 

1893 

1894 

1895 

1896b 

1897 

1898 

1899 

1900B 



XI. 



236.17 

198.46 

160.85 

123.24 

85.63 

47.92 

10.31 

332.70 

295.09 

257.38 

219.77 

J 82.15 

144.55 

106.83 

69.22 

31.62 

354.01 

316-29 

278.68 

241.08 

203.47 

165.75 

128.15 

90.54 

52.93 

15.22 

337-61 

300-00 

262-39 

224-68 

187-07 

149-46 

111-85 

74-14 

36-53 

358-92 

321-31 

283-60 

245-99 

208-38 

170-77 

133-06 

95-45 

57-84 

20-23 

342-52 

304-91 

267-30 

229-69 

191-98 



XII. 



337.86 
107.99 
237.77 
7.54 
137.31 
267.44 

37.22 
166.99 
296-77 

66.90 
196.67 
326.44 

96-22 
226-35 
356-12 
125-90 
255-67 

25-80 
155-58 
285-35 

55-13 
185-26 
315-03 

84-81 
214-58 
344-71 
114-49 
244-27 

14-04 
144-17 
273-95 

43-72 
173-50 
303-63 

73-40 
203-18 
332-95 
103-08 
232-85 
2-63 
132-40 
262-53 

32-31 
162-08 
291-86 

61-99 
191-76 
321-54 

91-31 
222-44 



XIII. 



79-64 

241-39 

43-68 

205-97 

8-26 

170-01 

332.30 

134.59 

206.88 

98.63 

260.92 

63-21 

225-51 

27-26 

189.55 

351.84 

154.13 

315.88 

118.17 

280.46 

82.75 

244.50 

46-79 

209-08 

11-37 

173-12 

335.41 

137.70 

299.99 

101.74 

264.03 

66-32 

228-61 

30-36 

192-65 

354-94 

157-23 

318-98 

121-27 

283-57 

85-86 

247-60 

49-90 

212-19 

14.48 

176-23 

338-52 

140-81 

303-10 

104-85 



XIV. 



24.7 

330.0 

274.4 

218.9 

163.3 

108.6 

53.0 

357.5 

301.9 

247.2 

191-6 

136-1 

80-5 

25-8 

330-2 

274-7 

219-1 

164.4 

108.8 

53-3 

357-7 

303-0 

247-4 

191-9 

136-3 

81-6 

26-1 

330-5 

' 274-9 

220-2 

164-7 

109-1 

53-5 

358-8 

303-3 

247-7 

192-2 

137-6 

81-9 

26-3 

330-7 

276-0 

220-5 

164-9 

109-4 

54-6 

359-1 

303-5 

248-0 

193-2 



XV. 



131.8 
347.1 
202.7 
58.4 
274.1 
129-3 
345-0 
200-6 
56-3 
271.5 
127.2 
342.9 
198.5 
53.8 
269.4 
125-1 
340-8 
196-0 
51-7 
267-3 
123-0 
338-2 
193-9 
49-6 
265-2 
120-5 
336-1 
191-8 
47-5 
262-7 
118-4 
334-0 
189-7 
45-0 
260-6 
116-3 
331-9 
187-2 
42-8 
258-6 
114-2 
329-4 
185-1 
40-7 
256-4 
in-7 
327-3 
182-9 
38-6 
253-9 



XVI. 



27.4 

271.8 

155.6 

39.4 

283.2 

167.7 

51.5 

295.2 

179-0 

63-5 

307-3 

191-1 

74-9 
319-3 
203-1 

86-9 
330-7 
215-2 

99.0 
342.8 
226.5 
111.0 
354.8 
238.6 
122.4 
6-8 
250.6 
134.4 

18.2 
262.7 
146-5 

30-3 
274-1 
158-5 

42-3 
286-1 
169-9 

54-4 
298-1 
181-9 

65-7 
310-2 
194-0 

77-8 
321-6 
206-0 

89-8 
333-6 
217-4 
101-9 



XVII. 



313.2 
138.0 
323.3 
.148.7 
334.0 
158.9 
344.2 
169.5 
354.8 
179.7 
5.0 
190.4 

15.7 
200.6 

25.9 
211-2 

36-5 
221-4 

46-7 
232-1 

57-4 
242-3 

67-6 
252.9 

78.2 
263.1 

68-4 
273-8 

99-1 
284-0 
109-3 
294-6 
120-0 
304-8 
130-1 
315-5 
140-8 
325-7 
151-0 
336-3 
161 -6 
346-5 
171 -8 
357-2 
182-5 
7-4 
192-7 

18-0 
203-3 

18-2 



XVIII. 



288.3 

304.1 

319.9 

335.7 

351.4 

7.2 

23.0 

38.7 

54.5 

70.3 

86.0 

101.8 

117.6 

133.4 

149.1 

164.9 

180.6 

196.4 

212.2 

227.9 

243.7 

259.5 

275.3 

291-0 

306-8 

322-6 

338-3 

354-1 

9-9 

25-7 

41-4 

57-2 

72-9 

68-7 

104-5 

120-2 

136-0 

151-8 

167-6 

183-3 

199-1 

214-9 

230-6 

246-4 

262-1 

277-9 

293-7 

309-5 

325-2 

341-0 



XIX. 



XX. 



57.5 
349.4 
281.4 
213.5 
145.6 
77.5 

9.5 

301.6 

233.6 

- 165.5 

97.6 

29.7 

321.7 

253.6 

185.7 

117.7 

49.8 

341.7 

273.7 

205.6 

137.9 

69.8 

1-8 

293-9 

226-0 

157-8 

69-9 

22-0 
314-0 
245-9 
178-0 
110-0 

42-1 
334-0 
266-1 
198-1 
130-2 

62-1 
354-1 
286-2 
216-3 
150-1 

82-2 

14-3 
2C6-3 
238-2 
170-3 
102-3 

34-4 
326-3 



159.2 
258.9 
358.4 
97.8 
197.3 
297.0 
36.4 
135.9 
235.3 
335.0 
74.5 
173.9 
273.4 
13.1 
112.6 
212.0 
311.5 
51.2 
151.6 
250.1 
349-5 
89-3 
188-7 
288-2 
27-6 
127-3 
226-8 
326-2 
65-7 
165-4 
264-9 
4-3 
103-7 
203-5 
302-9 
42-4 
141-8 
241-5 
341-0 
80-4 
179-9 
279-6 
19-1 
118-5 
218-0 
317-7 
57-1 
156-6 
256-0 
355-7 



18 









TABLE 


III.- 


- CoTdinued. 
















FOR THE 


ARGUMENTS. 












A. 


For the different Years. The times are referred to the meridian of 


Washington. 






Years. 


XXI. 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII. 


XXVIII. 


XXIX. 


XXX. 






o 































1851 


258.2 


76.9 


82.2 


30-0 


238.8 


291-0 


30-1 


161.9 


343.2 


32.7 




lSo2B 


226.6 


75.7 


183-2 


213-7 


140.3 


246-0 


77.5 


200.8 


351.7 


155.5 




1853 


194.1 


73.5 


284.9 


36-8 


42-0 


201.1 


125.8 


239.6 


0.2 


278.0 




1854 


161.6 


71.3 


26.5 


220.0 


303-8 


156.2 


174.1 


278.4 


8.6 


40.5 




1855 


129.0 


69.1 


128.2 


43.1 


205-5 


111.3 


222.4 


317.2 


17.1 


163.0 




18566 


97.4 


67.9 


229.1 


226,7 


107-0 


66-3 


269.8 


356.1 


25.6 


285.8 




1857 


64.9 


65.7 


330-7 


49.9 


8-7 


21.4 


318.1 


34.9 


34.1 


48.3 




1858 


32.4 


63.5 


72-4 


233.0 


270.5 


336.5 


6.3 


73.7 


42.5 


170.8 




1859 


359.9 


61.3 


174-0 


56.2 


172-2 


291.6 


54.6 


112.5 


51.0 


293-3 




1860B 


328.3 


60.1 


274-9 


239.8 


73.7 


246-6 


102.0 


151.4 


59.5 


56-1 




1861 


295.7 


57.9 


16.6 


63.0 


335.4 


201.7 


150.3 


190.2 


68.0 


178-6 




1862 


263.2 


55.7 


118-2 


246.1 


237-2 


156.8 


198.6 


229.0 


76.5 


301.1 




1863 


230.7 


53.5 


219-9 


69.2 


138-9 


111.9 


246.8 


267.8 


84.9 


63.6 




1864B 


199.1 


55.3 


320.8 


252.9 


40-4 


66.9 


294.3 


306.7 


93.4 


186-4 




1865 


166-6 


50.1 


62.4 


76.0 


302-1 


22.0 


342.5 


345.5 


101.9 


308.9 




1866 


134.1 


47.9 


164.1 


259.1 


203-9 


337-1 


30.8 


24.3 


110.4 


71.4 




1867 


101.5 


45.8 


265.7 


82.3 


105.6 


292.2 


79.1 


63.1 


118.8 


193.9 




1863S 


69.9 


44.5 


6.6 


265.9 


7-1 


247.2 


126.5 


102.0 


127.3 


316-7 




1869 


37.4 


42-4 


108.3 


89.1 


268-8 


202.3 


174.8 


140.8 


135.8 


79.2 




1870 


4.9 


40-1 


209.9 


272.2 


170-5 


157.4 


223.1 


179-6 


144.3 


201.7 




1871 


332.4 


38-0 


311^6 


95.4 


72-3 


112.5 


271.3 


218-4 


152.8 


324.2 




1872b 


300-8 


36-8 


52.5 


279.0 


333-8 


67.6 


318.7 


257-3 


161.3 


87.0 




1873 


268.2 


34.6 


154.1 


102-2 


235-5 


22.6 


7.0 


296-1 


169.7 


209.5 




1874 


235.7 


32.4 


255.8 


285-3 


137-2 


337.7 


55.3 


334-9 


178.2 


332.0 




1875 


203.2 


30.2 


357.4 


108-4 


39-0 


292.8 


103.6 


13-7 


186.7 


94.5 




18765 


171.6 


29-0 


98.4 


292-1 


300-5 


247-8 


151.0 


52-6 


195-2 


217-3 




1877 


139.1 


26-8 


200-0 


115-2 


202-2 


202-9 


199.3 


91.4 


203-7 


339-8 




1878 


106-6 


24.6 


301.6 


298-4 


103-9 


158-0 


247.6 


130-2 


212.1 


102-3 




1879 


74.0 


22.4 


43-3 


121-5 


5-7 


113-1 


295.8 


169-0 


220.6 


224-8 




1880S 


42.4 


21.2 


144.2 


305-2 


267-1 


68-1 


343.2 


207-9 


229.1 


347-6 




1881 


9-9 


19-0 


245.8 


128-3 


168-9 


23-2 


31.5 


246-7 


237.6 


110-1 




1882 


337.9 


16.8 


347.5 


311-4 


70-6 


338-3 


79.8 


285-5 


246.] 


232-6 




1883 


304.9 


14.6 


89-1 


134-6 


332-4 


293-4 


128.0 


324-3 


254-5 


355-1 




1884B 


273-3 


13.4 


190-1 


318-2 


233-8 


248-4 


175.5 


3-2 


263-0 


117-9 




1885 


240-7 


11-2 


291-7 


141-4 


135-6 


203-5 


223.7 


42-0 


271-5 


240-4 




1886 


208-2 


9-0 


33-3 


324-5 


37-3 


158-6 


272.0 


80-8 


280-0 


2-9 




1887 


175.7 


6-8 


135-0 


147-6 


299-1 


113-7 


320.3 


119-6 


288-4 


125-4 




1888B 


144.1 


5-6 


235-9 


331-3 


200-5 


68-7 


7.7 


158-5 


296.9 


248-2 




1889 


111.6 


3-4 


337-6 


154-4 


102-3 


23-8 


56.0 


197-3 


305-4 


10-7 




1890 


79.1 


1-3 


79-2 


337-6 


4-0 


338-9 


104.3 


236-1 


313-9 


133.2 




1891 


46.5 


359-0 


180-8 


160-7 


265-7 


294-0 


152.5 


274-9 


322-4 


2.55.7 




1892S 


14.9 


357-8 


281-8 


344-4 


167-2 


249.0 


199.9 


313-8 


330-9 


18.5 




1893 


342.4 


355-7 


23-4 


167-5 


69-0 


204-1 


248.2 


352-6 


339-3 


141-0 




1894 


309-9 


353-5 


125-0 


350-6 


330-7 


159-2 


296.5 


31.4 


347-8 


263-5 




1895 


277-4 


351-3 


226-7 


173-8 


232-4 


114-3 


344.8 


70-2 


356-3 


26-0 




1896b 


245-8 


350-1 


327-6 


357-4 


133-9 


69-3 


32.2 


109-1 


4-8 


148-8 




1897 


213-2 


347.9 


69-3 


180-6 


35-6 


24.4 


80.5 


147-9 


13-2 


271-3 




1898 


180.7 


345.7 


170-9 


3-7 


297-4 


339.5 


128.7 


186-7 


21-7 


33.8 




1899 


148-2 


343-5 


272-5 


186-8 


199-1 


294-6 


177.0 


225-5 


30-2 


156-3 




1900B 


116-6 


342-5 


13-5 


10-5 


100-6 


249-6 


224.4 


264-4 


38.7 


279.1 





19 







TABLE III. Continued. 












FOR THE ARGUMENTS. 










A. 


For the different Years. The times are referred to the meridian of Washington. 






Years. 


XXXI. 


XXXII. 


xxxni. 


XXXIV. 


XXXV. 


XXXVI. 


XXXVII. 


XXXVIII 


XXXIX. 


XL. 






o 


o 





O 








o 













1851 


256 


242 


80 


60 





82 


316 


209 


179 


264 




1852B 


285 


82 


18 


291 


136 


319 


80 


287 


345 


110 




1853 


313 


283 


315 


163 


271 


196 


205 


5 


150 


316 




1854 


341 


124 


252 


34 


46 


72 


329 


84 


316 


163 




1855 


9 


325 


189 


266 


181 


309 


94 


162 


121 


9 




18566 


38 


166 


127 


137 


317 


186 


218 


240 


237 


216 




1857 


67 


7 


64 


8 


92 


63 


343 


319 


93 


62 




1858 


95 


208 


1 


239 


227 


299 


107 


37 


258 


268 




1859 


123 


49 


298 


111 


2 


176 


238 


116 


63 


114 




1860B 


152 


250 


236 


342 


138 


53 


356 


194 


230 


321 




1861 


180 


91 


174 


213 


273 


289 


121 


273 


35 


167 




1862 


208 


292 


111 


85 


48 


166 


245 


351 


200 


13 


1863 


236 


133 


48 


316 


182 


42 


10 


70 


5 


219 




1864 B 


266 


334 


346 


187 


319 


279 


134 


148 


172 


66 




1865 


294 


175 


283 


59 


94 


156 


259 


226 


337 


272 ! 




1866 


322 


16 


220 


290 


228 


32 


24 


305 


142 


119 i 




1867 


350 


217 


157 


161 


3 


269 


148 


23 


307 


325 




1868B 


19 


58 


95 


32 


139 


146 


272 


101 


114 


171 




1869 


47 


259 


33 


264 


274 


23 


37 


180 


279 


18 




1870 


75 


100 


330 


135 


49 


259 


162 


258 


84 


224 




1871 


104 


301 


267 


7 


184 


136 


286 


337 


250 


70 




1872B 


133 


142 


205 


238 


320 


13 


50 


55 


56 


277 




1873 


161 


343 


142 


109 


95 


249 


175 


133 


222 


123 




1874 


189 


184 


79 


341 


230 


126 


300 


212 


27 


329 




1875 


217 


25 


16 


212 


5 


2 


64 


291 


192 


175 




1876B 


246 


226 


314 


83 


141 


239 


188 


8 


3,59 


22 




1877 


275 


67 


251 


315 


276 


116 


313 


87 


164 


228 




1878 


303 


268 


189 


186 


51 


353 


78 


166 


329 


74 




1879 


331 


109 


126 


57 


186 


229 


202 


244 


134 


281 




1880B 





310 


64 


288 


322 


106 


326 


322 


301 


127 




1881 


28 


141 


1 


160 


97 


343 


91 


41 


106 


334 




1882 


56 


352 


298 


31 


232 


219 


216 


119 


271 


180 




1883 


84 


193 


235 


263 


7 


96 


341 


198 


76 


26 




1S84B 


114 


34 


173 


134 


143 


333 


105 


276 


243 


233 




1885 


142 


235 


110 


5 


278 


209 


229 


354 


48 


79 




1886 


170 


176 


47 


237 


53 


86 


354 


73 


213 


285 




1887 


198 


277 


345 


108 


187 


322 


119 


151 


19 


131 




1888B 


227 


118 


283 


339 


324 


200 


243 


229 


185 


338 




1889 


255 


319 


220 


210 


98 


76 


7 


308 


350 


184 




1890 


283 


160 


157 


82 


233 


313 


132 


26 


156 


30 




.1891 


312 


1 


94 


313 


8 


189 


257 


105 


321 


237 




'l892B 


341 


201 


32 


184 


144 


66 


21 


183 


127 


63 




1893 


9 


43 


329 


56 


279 


303 


145 


'262 


293 


289 




1894 


37 


244 


266 


287 


54 


179 


270 


340 


98 


136 




1895 


65 


85 


204 


159 


189 


56 


35 


59 


263 


342 




1896B 


94 


285 


142 


30 


325 


293 


159 


137 


70 


189 




1897 


123 


126 


79 


261 


100 


169 


283 


215 


235 


85 




1898 


151 


328 


16 


132 


235 


46 


48 


293 


40 


241 




1899 


179 


169 


313 


4 


10 282 173 


12 


205 


87 




1900B 


208 


9 


251 


235 


146 160 297 


90 


12 . 


294 


























"* 



20 









TABLE III. Continued. 
FOR THE ARGUMENTS. 










A. 


For the different Years. The times are referred to the meridiar 


of Washington. 




Years. 


XLI. 


XLII. 


XLIII. 


XLIV. 


XLV. 


XL VI. 


XL VII. 


XL VIII. 


XLIX. 




o 


o 


o 


o 


o 


O 


o 


o 


o 


1851 


85 


126 


341 


132 


134 


134 


231 


85 


137 


185aB 


261 


240 


274 


123 


289 


65 


91 


125 


231 


1853 


77 


351 


208 


114 


84 


355 


309 


166 


325 


1854 


253 


103 


142 


104 


239 


285 


168 


207 


59 


1855 


69 


215 


76 


95 


34 


215 


27 


248 


154 


1856B 


245 


328 


10 


86 


188 


145 


247 


288 


247 


1857 


61 


80 


304 


77 


343 


75 


105 


329 


349 


1858 


237 


192 


238 


67 


138 


5 


324 


10 


76 


1859 


53 


304 


172 


58 


293 


295 


181 


51 


171 


1860B 


229 


57 


105 


49 


88 


226 


43 


91 


264 


1861 


45 


169 


40 


40 


243 


155 


261 


132 


359 


1862 


221 


280 


334 


30 


38 


85 


120 


173 


93 


1863 


37 


32 


268 


21 


193 


15 


338 


214 


187 


1864B 


213 


145 


201 


12 


347 


306 


198 


254 


281 


1865 


29 


257 


136 


3 


142 


236 


57 


295 


15 


1866 


205 


9 


70 


353 


297 


166 


275 


336 


110 


1867 


21 


121 


4 


344 


92 


96 


134 


17 


904 


1868B 


197 


234 


297 


335 


247 


26 


354 


57 


298 


1869 


13 


346 


231 


326 


42 


316 


213 


98 


32 


1870 


189 


98 


166 


317 


197 


246 


71 


139 


196 


1371 


4 


209 


100 


307 


352 


176 


290 


180 


221 


1872B 


ISl 


323 


33 


299 


146 


107 


150 


921 


314 


1873 


357 


74 


327 


289 


301 


36 


9 


261 


49 


1874 


172 


186 


262 


280 


96 


326 


227 


302 


143 


1875 


348 


298 


196 


270 


251 


256 


86 


343 


237 


1876B 


165 


51 


129 


262 


46 


187 


306 


24 


331 


1877 


341 


163 


63 


252 


201 


117 


164 


65 


65 


1878 


156 


275 


357 


243 


356 


47 


23 


106 


160 


1879 


332 


27 


292 


233 


151 


336 


242 


147 


954 


1880B 


149 


140 


225 


225. 


305 


267 


102 


187 


348 


1881 


324 


252 


159 


215 


100 


197 


320 


298 


82 


1882 


140 


3 


93 


206 


255 


127 


179 


969 


176 


1883 


316 


115 


27 


196 


50 


57 


37 


310 


271 


1884B 


133 


228 


321 


188 


205 


347 


257 


350 


4 


1885 


308 


340 


255 


178 





277 


116 


31 


99 


1886 


124 


92 


189 


169 


155 


207 


335 


72 


193 


1887 


300 


204 


123 


159 


310 


137 


193 


113 


288 


188SB 


116 


317 


56 


151 


104 


68 


53 


153 


21 


1889 


292 


69 


351 


141 


259 


358 


272 


194 


115 


1890 


108 


181 


285 


132 


54 


287 


130 


235 


210 


1891 


284 


292 


219 


122 


209 


217 


349 


976 


304 


1892B 


100 


46 


152 


114 


4 


147 


209 


316 


38 


1893 


276 


157 


87 


104 


159 


78 


68 


357 


132 


1894 


99 


269 


21 


95 


314 


8 


286 


38 


226 


1895 


268 


21 


315 


65 


109 


298 


145 


79 


321 


1896B 


86 


134 


248 


77 


263 


228 


5 


119 


54 


1897 


260 


246 


182 


67 


58 


158 


224 


160 


149 


1898 


76 


358 


117 


58 


213 


88 


82 


201 


943 


1899 


252 


110 


51 


48 


8 


18 


301 


242 


338 


1900B 


68 


223 


344 


40 


163 


308 


161 


984 


71 



21 









TABLE 


III.- 


- Continued. 
















FOR THE 


ARGUMENTS. 












B. Variations of the Arguments for the different Months. The times are 


referred to the meridian of Washington. 




Months. 


I. 


II. 


HI. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 




January 


0.000 


0.000 


0.000 


0.000 


o 
0.00 


o°.oo 


0.00 


0.00 


0°.00 


0.00 




February 


357.425 


4.532 


1.956 


359.380 


16.17 


6.49 


11.64 


350.32 


7.11 


18.75 




March 


355.098 


8.626 


3.724 


358.820 


30.77 


12.34 


22.15 


341.57 


13.53 


35.69 




April 


352.523 


13.158 


5.680 


358.200 


46.94 


18.83 


33.79 


331.89 


20.64 


54.43 




May 


350.031 


17.544 


7.573 


357.600 


62.59 


25.11 


45.06 


322.51 


27.51 


72.58 




June 


347.456 


22.076 


9.530 


356.980 


78.76 


31.60 


56.70 


312.83 


34.62 


91.33 




July 


344.964 


26.462 


11.423 


356.380 


94.41 


37.88 


67.96 


303.46 


41.50 


109.47 




August 


342.389 


30.994 


13.379 


355.760 


110..58 


44.37 


79.60 


293.77 


48.61 


128.22 




September 


339.814 


35.526 


15.336 


355.140 


126.75 


50.86 


91.24 


284.09 


55.72 


•146.97 




October 


337.322 


39.912 


17.229 


354.540 


142.40 


57.14 


102.51 


274.72 


62.60 


165.11 




November 


334.747 


44.444 


19.185 


353.920 


158.57 


63.63 


114.15 


265.03 


69.71 


183.86 




December 


332.255 


. 48.830 


21.079 


353.320 


174.22 


69.91 


125.41 


255.66 


76.58 


202.01 




Months. 


XI. 


XII. 


XIII. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. 


XIX. 


XX. 




January 


0.00 


0°.00 


o°.oo 


o 
0.0 


o 

0.0 




0.0 


o 
0.0 




0.0 


o ' 

0.0 




0.0 




February 


356.80 


11.02 


343.21 


25.9 


347.7 


20.7 


345.2 


1.3 


354.2 


8.4 




March 


353.92 


20.97 


328.03 


49.2 


336.7 


39.4 


331.8 


2.5 


349.0 


16.1 




April 


350.73 


31.99 


311.24 


75.1 


324.4 


60.1 


316.9 


3.9 


343.3 


24.5 




May 


347.63 


42.66 


294.99 


100.1 


312.5 


80.2 


302.6 


5.2 


337.7 


32.7 




June 


344.44 


53.68 


278.20 


125.9 


300.3 


100.9 


287.7 


6.5 


331.9 


41.1 




July 


341.34 


64.34 


261.95 


150.9 


288.4 


120.9 


273.4 


7.8 


326.3 


49.3 




August 


338.15 


75.36 


245.15 


176.8 


276.1 


141.6 


258.5 


9.1 


320.6 


57.7 




September 


334.95 


86.38 


228.36 


202.6 


263.9 ■ 


162.3 


243.7 


10.4 


314.8 


66.2 




October 


331.86 


97.05 


212.11 


227.7 


252.0 


182.4 


229.3 


11.7 


309.2 


74.3 




November 


328.66 


108.07 


195.32 


253.5 


239.8 


203.1 


214.5 


13.1 


303.4 


82.8 




December 


325.57 


118.73 


179.06 


278.5 


227.9 


223.1 


200.1 


14.3 


297.9 


91.0 




Months. 


XXL 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII. 


XXVIII. 


XXIX. 


XXX. 




January 


o 

0.0 


o 
0.0 


o 

0.0 




0.0 




0.0 


o 
0.0 


o 
0.0 


o 
0.0 


o 
0.0 


o 
0.0 




February 


27.8 


30.4 


338.1 


15.6 


351.7 


356.2 


333.5 


3.3 


0.7 


10.4 




March 


52.9 


57.8 


318.2 


29.6 


344.1 


352.8 


309.6 


6.3 


1.4 


19.8 




April 


80.7 


88.2 


296.3 


45.2 


335.8 


348.9 


283.2 


9.6 


2.1 


30.2 




May 


107.7 


117.6 


275.0 


60.2 


327.7 


345.3 


257.5 


12.7 


2.8 


40.3 




June 


135.5 


148.0 


253.1 


75.8 


319.4 


341.4 


231.1 


16.0 


3.5 


50.7 




July 


162.4 


177.4 


231.9 


90.9 


311.3 


337.8 


205.4 


19.2 


4.2 


60.7 




August 


190.2 


207.8 


209.9 


106.4 


303.0 


333.9 


179.0 


22.5 


4.9 


71.1 




September 


218.0 


238.1 


188.0 


122.0 


294.6 


330.1 


152.5 


25.8 


5.6 


81.5 




October 


244.9 


267.5 


166.7 


137.0 


286.6 


326.4 


126.9 


29.0 


6.3 


91.6 




November 


272.7 


297.9 


144.8 


152.6 


278.2 


322.6 


100.4 


32.3 


7.0 


102.0 




December 


299.6 


327.3 


123.5 


167.7 


270.2 


318.9 


74.8 


35.4 


7.7 


112.1 








In Bissexti 


le Years subtract one < 


lay from th 


e date in th 


e first two i 


nonths. 









22 







TABLE III. ConUnued. 










FOE THE ARGUMENTS. 






B. Variations of the Arguments for the different Months. The times are referred to the meridian of Washington. 




Months. 


XXXI. 


XXXII. 


XXXIII. 


XXXIV. 


XXXV. 


XXXVI. 


XXXVII. 


XXXVIII 


XXXIX. 


XL. 




January 


o 








o 








o 



o 



o 








o 











February 


33 


347 


25 


349 


42 


20 


340 


336 


45 


18 




March 


63 


334 


48 


339 


80 


38 


322 


315 


85 


33 




April 


96 


321 


73 


328 


122 


58 


302 


291 


130 


51 




May 


128 


308 


98 


318 


163 


78 


283 


267 


173 


68 




June 


161 


294 


123 


307 


205 


98 


263 


244 


217 


85 




July 


192 


281 


147 


296 


245 


117 


243 


220 


260 


102 




August 


225 


268 


173 


285 


287 


137 


223 


197 


305 


120 




September 


258 


254 


198 


274 


330 


157 


203 


173 


350 


137 




October 


290 


241 


222 


264 


10 


177 


184 


150 


33 


154 




November 


323 


228 


247 


253 


52 


197 


164 


126 


77 


172 




December 


355 


215 


272 


242 


93 


216 


145 


102 


121 


189 




Months. 


XLI. 


XLII. 


XLIII. 


XLIV. 


XLV. 


XLVI. 


XL VII. 


XLVIII. 


XLIX. 






January 












o 








o 








o 




o 



o 







February 


15 


40 


324 


30 


343 


25 


49 


333 


337 






March 


28 


76 


291 


57 


327 


47 


94 


308 


317 






April 


43 


116 


255 


87 


310 


71 


143 


281 


294 






May 


58 


155 


220 


115 


293 


95 


190 


255 


273 






June 


73 


195 


184 


145 


275 


120 


239 


228 


250 






July 


87 


234 


149 


174 


258 


144 


287 


202 


228 






August 


102 


274 


113 


204 


241 


168 


336 


175 


206 






September 


117 


314 


77 


234 


224 


193 


25 


148 


183 






October 


131 


353 


42 


262 


207 


217 


73 


121 


161 






November 


146 


33 


6 


292 


189 


241 


122 


94 


139 






December 


161 


78 


331 


321 


172 


265 


169 


68 


117 






a 




In Bissextile Years subtract one day from the date in the first two months. 







23 



, 






TABLE III. — Continued. 






1 










FOR THE ARGUMENTS. 










C. Variations of the Arguments for the diflferent Days. The times are referred to th 


e meridian of Washing 


ton. 




Days. 

! 


I. 


n. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 




1 


359.917 


o!l46 


o!o63 


359.980 


o 
0.52 


o 

0.21 




0.38 


359!69 


0°.23 


0°.60 




2 


359.834 


0.292 


0.126 


359.960 


1.04 


0.42 


0.75 


359.37 


0.46 


1.21 




3 


359.751 


0.439 


0.189 


359.940 


1.57 


0.63 


1.13 


359.06 


0.69 


1.81 




4 


359.667 


0.585 


0.252 


359.920 


2.69 


0.84 


1.50 


358.75 


0.92 


2.42 




5 


359.584 


0.731 


0.316 


359.900 


2.61 


1.05 


1.88 


358.44 


1.15 


3.02 




6 


359.501 


0.877 


0.379 


359.880 


3.13 


1.26 


2.25 


358.12 


1.38 


3.63 




7 


359.418 


1.023 


0.442 


359.860 


3.65 


1.47 


2.63 


357.81 


1.61 


4.23 




8 


359.335 


1.170 


0.505 


359.840 


4.17 


1.67 


3.00 


357.50 


1.83 


4.84 




9 


359.252 


1.316 


0.568 


359.820 


4.70 


1.88 


3.38 


357.19 


2.06 


5.44 




10 


359.169 


1.462 


0.631 


359.800 


5.22 


2.09 


3.76 


356.88 


2.29 


6.05 




20 


358.338 


2.924 


1.262 


359.600 


10.43 


4.19 


7.51 


353.75 


4.59 


12.10 




30 


357.508 


4.386 


1.893 


359.400 


15.65 


6.28 


11.27 


350.63 


6.88 


18.14 




Days. 


XI. 


XII. 


XIII. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. 


XIX. 


XX. 




1 


359!90 


0°.36 


359?46 


o 
0.8 


359.6 


o 
0.7 


359.5 


o 

0.0 


359?8 


0.3 




2 


359.79 


0.71 


358.92 


1.7 


359.2 


1.3 


359.0 


0.1 


359.6 


0.5 




3 


359.69 


1.07 


358.37 


2.5 


358.8 


2.0 


358.6 


0.1 


359.4 


0.8 




4 


359.59 


1.42 


357.83 


3.3 


358.4 


2.7 


358.1 


0.2 


359.3 


1.1 




5 


359.49 


1.78 


357.29 


4.2 


358.0 


3.3 


357.6 


0.2 


359.1 


1.4 




6 


359.38 


2.13 


356.75 


5.0 


357.6 


4.0 


357.1 


0.3 


358.9 


1.6 


7 


359.28 


2.49 


356.21 


5.8 


■ 357.2 


4.7 


356.7 


0.3 


358.7 


1.9 




8 


359.18 


2.84 


355.66 


6.7 


356.8 


5.3 


356.2 


0.3 


358.5 


2.2 







359.07 


3.20 


355.12 


7.5 


356.4 


6.0 


355.7 


0.4 


358.3 


2.5 




10 


358.97 


3.56 


354.58 


8.3 


356.0 


6.7 


355.2 


0.4 


358.1 


2.7 




20 


357.94 


7.11 


349.17 


16.7 


352.1 


13.4 


350.4 


0.9 


356.3 


5.4 




30 


356.91 


10.67 


343.75 


25.0 


348.1 


12.0 


345.6 


1.3 


3.54.2 


8.2 




Days. 


XXI. 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII. 


XXVIII. 


XXIX. 


XXX. 




1 


o 
0.9 


o 

1.0 


359.3 


o 

0.5 


359°.7 


359.9 


359.1 


o 
0.1 


o 
0.0 


o 
0.3 




2 


1.8 


2.0 


358.6 


1.0 


359.5 


359.8 


358.3 


0.2 


0.1 


0.7 




3 


2.7 


2.9 


357.9 


1.5 


359.2 


359.6 


357.4 


0.3 


0.1 


1.0 




4 


3.6 


3.9 


357.2 


2.0 


358.9 


359.5 


356.6 


0.4 


0.1 


1.3 




5 


4.5 


4.9 


356.5 


2.5 


358.7 


359.4 


355.7 


0.5 


0.1 


1.7 




6 


5.4 


5.9 


355.8 


3.0 


358.4 


359.3 


354.9 


0.6 


0.1 


2.0 




7 


6.3 


6.9 


355.0 


3.5 


358.1 


359.1 


354.0 


0.7 


0.2 


2.4 




8 


7.2 


7.8 


354.3 


4.0 


357.9 


359.0 


353.2 


0.9 


0.2 


2.7 







8.2 


8.8 


353.6 


4.5 


357.6 


358.9 


352.3 


1.0 


0.2 


3.0 




10 


9.0 


9.8 


352.9 


5.0 


357.3 


358.8 


351.5 


1.1 


0.2 


3.4 




20 


17.9 


19.6 


345.8 


10.0 


354.6 


357.5 


342.9 


2.1 


0.5 


6.7 




30 


26.9 


29.4 


338.8 


15.1 


351.9 


356.3 


334.4 


3.2 


0.7 


10.1 





24 



TABLE III. Continued. 

FOR THE ARGUMENTS. 

C. Variations of tlie Arguments for the different Days. The times are referred to the meridian of Washington. 


Days. 


XXXI. 


XXXII. 


XXXIII. 


XXXIV. 


XXXV. 


XXXVI. 


XXXVII. 


XXXVIII 


XXXIX. 


XL. 


2 
3 

4 

5 

6 

7 

8 

9 

10 

21) 

30 


o 

1 

2 
3 

4 

5 

6 

7 

8 

9 

11 

21 

32 





359 
359 
358 
358 
357 
357 
357 
356 
356 
351 
347 




1 

2 

2 
3 
4 
5 
6 
7 
7 
8 
16 
24 


o 

359 
359 
359 
358 
358 
358 
357 
357 
356 
353 
349 


o 

1 

3 

4 

5 

7 

8 

9 

U 

12 

14 

27 

41 




1 
•1 
2 
3 
3 
4 
5 
5 
6 
6 
13 
19 


o 
359 
359 
358 
357 
357 
356 
355 
355 
354 
354 
347 
341 


359 
358 
358 
357 
356 
355 
355 
354 
353 
352 
345 
337 


o 

1 

3 

4 

6 

7 

9 

10 

12 

13 

14 

29 

43 




1 

1 

2 
2 
3 
3 

4 
4 
5 
6 
11 
17 




Days. 


XLI. 


XLII. 


XLIII. 


XLIV. 


XLV. 


XL VI. 


XL VII. 


XLVIII. 


XLIX. 




1 
2 

3 
4 
5 
6 

7 

8 

9 

10 

20 

30 


o 


1 
1 
2 
2 
3 
3 
4 
4 
5 
10 
14 


o 

1 

3 

4 

5 

7 

8 

9 

10 

12 

13 

26 

39 


o 
359 
358 
357 
355 
354 
353 
352 
351 
350 
348 
337 
325 




1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

19 

29 




359 
359 
358 
358 
357 
357 
356 
356 
355 
354 
349 
343 


o 

1 

2 
2 

3 
4 

5 
6 
6 

7 

8 

16 

24 




2 

3 

5 

6 

8 

10 

11 

13 

14 

16 

32 

48 


o 
359 
358 
357 
357 
356 
355 
354 
353 
352 
351 
343 
334 




309 
359 
358 
357 
356 
356 
355 
354 
353 
353 
345 
338 







25 









TABLE III. Concluded. 
FOR THE ARGUMENTS. 








D. Variations of the Argaments for the different Hours. The times are referred to the meridian of Washington. 1 


Hoars. 


I. 


II. 


III. 


IV. 


V. 


VI. 


VII. 


VIII. 


IX. 


X. 


1 


359.997 


0?006 


o!o03 


359.999 


0°.02 


o 
0.01 


0°.02 


359!99 


o 

0.01 


0°.03 


2 


359.993 


0.012 


0.005 


359.998 


0.04 


0.02 


0.03 


359.97 


0.02 


0.05 


3 


359.990 


0.018 


0.008 


359.998 


0.07 


0.03 


0.05 


359.96 


0.03 


0.07 


4 


359.986 


0.024 


0.010 


359.997 


0.09 


0.04 


0.06 


359.95 


0.04 


0.10 


5 


359.983 


0.031 


0.013 


359.996 


0.11 


0.04 


0.08 


359.94 


0.04 


0.12 


6 


359.979 


0.037 


0.016 


359.995 


0.13 


0.05 


0.10 


359.93 


0.05 


0.15 


7 


359.976 


0.043 


0.018 


359.994 


0.15 


0.06 


0.11 


359.91 


0.06 


0.17 


8 


359.972 


0.049 


0.021 


359.994 


0.18 


0.07 


0.13 


359.90 


0.07 


0.20 


9 


359.969 


0.055 


0.023 


359.993 


0.20 


0.08 


0.14 


359.88 


0.08 


0.22 


10 


359.965 


0.061 


0.026 


359.992 


0.22 


0.09 


0.16 


359.87 


0.09 


0.25 


20 


359.930 


0.122 


0.052 


359.984 


0.44 


0.18 


0.32 


359.74 


0.18 


0.50 


Hours. 


XI. 


XII. 


XIII. 


XIV. 


XV. 


XVI. 


XVII. 


XVIII. 


XIX. 


XX. 


1 


o!oo 


0°.02 


359?98 


O 

0.0 


o 
0.0 




0.0 




0.0 




0.0 


o 

0.0 




0.0 


2 


359.99 


0.03 


359.95 


0.1 


0.0 


0.1 


0.0 


0.0 


0.0 


0.0 


3 


359.99 


0.04 


359.93 


0.1 


359.9 


0.1 


359.9 


0.0 


0.0 


0.0 


4 


359.98 


0.06 


359.91 


0.1 


359.9 


0.1 


359.9 


0.0 


0.0 


0.0 


3 


359.98 


0.07 


359.88 


0.2 


359.9 


0.1 


359.9 


0.0 


0.0 


0.1 


6 


359.98 


0.09 


359.86 


0.2 


359.9 


0.2 


359.9 


0.0 


359.9 


O.l 


7 


359.97 


0.10 


359.84 


0.2 


359.9 


0.2 


359.9 


0.0 


359.9 


0.1 


8 


359-97 


0.12 


359.82 


0.3 


359.9 


0.2 


359.8 


0.0 


359.9 


0.1 


9 


359.96 


0.13 


359.79 


0.3 


359.8 


0.3 


359.8 


0.0 


359.9 


0.1 


10 


359.96 


0.15 


359.77 


0.4 


359.8 


0.3 


359.8 


0.0 


359.9 


0.1 


20 


359.92 


0.30 


359.54 


0.7 


359.7 


0.6 


359.6 


0.0 


359.8 


0.2 


Hours. 


XXL 


XXII. 


XXIII. 


XXIV. 


XXV. 


XXVI. 


XXVII. 


XXVIII. 


XXIX. 


XXX. 


1 




0.0 


o 
0.0 


o 
0.0 


O 

0.0 


o 

0.0 




0.0 


o 
0.0 




0.0 




0.0 


o 
0.0 


2 


0.1 


0.1 


359.9 


0.0 


0.0 


0.0 


359.9 


0.0 


0.0 


0.0 


3 


0.1 


0.1 


359.9 


0.1 


0.0 


0.0 


359.9 


0.0 


0.0 


0.0 


4 


0.1 


0.2 


359.9 


0.1 


0.0 


0.0 


359.9 


0.0 


0.0 


0.0 


5 


0.2 


0.2 


359.8 


0.1 


359.9 


0.0 


359.8 


0.0 


0.0 


0.0 


6 


0.2 


0.3 


359.8 


0.1 


359.9 


0.0 


359.8 


0.0 


0.0 


0.0 


7 


0.3 


0.3 


359.8 


0.2 


359.9 


0.0 


359.7 


0.0 


0.0 


0.0 


8 


0.3 


0.3 


359.8 


0.2 


359.9 


0.0 


359.7 


0.0 


0.0 


0.0 


9 


0.3 


0.4 


359.7 


0.2 


359.9 


359.9 


359.7 


0.0 


0.0 


0.0 


10 


0.4 


0.4 


359.7 


0.2 


359.9 


359.9 


359.6 


0.0 


0.0 


0.0 


20 


0.7 


0.8 


359.4 


0.4 


359.8 


359.9 


359.3 


0.1 


0.0 


0.3 



26 













TABLE IV. 














PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












Ter 


ms multiplied with 


t. Argument = 


M. 












Arg. 


t' 


Diflt. 


V 


Diff. 


£' 


DifF. 


Arg. 


1' 


Diff. 


v 


Diff. 


r 


Diff. 




o 



+ 10.37 




-833.64 




- 8.63 






45 


+585.90 




-465-98 




-129.21 






1 


27.57 


+17.20 


833.62 


+ 0-02 


12.15 


-3.32 


46 


591.39 


+5-49 


453.10 


+12.88 


130.81 


-1-60 




2 


44.76 


17-19 


833.13 


0-49 


15.47 


3.32 


47 


596.54 


5-19 


440.21 


12-89 


132.35 


1.54 




3 


61.93 


17-17 


832.16 


0-97 


18.78 


3-31 


48 


601.35 


4.31 


427.31 


12.90 


133.84 


1.49 




4 


79.07 


17-14 


830.72 


1-44 


22.08 


3-30 


49 


605.84 


4-49 


414.41 


12.90 


135.27 


1.43 




5 


96.14 


17-07 


828.82 


1-90 


25.37 


3-29 


50 


610.00 


4-16 


401.52 


12.89 


136-64 


1.37 




6 


113.14 


17-00 


826.45 


2-37 


28.64 


3.27 


51 


613.84 


3-84 


388.64 


12-88 


137.96 


1.32 




7 


130.05 


16-91 


823.62 


2-33 


31.90 


3.26 


52 


617.37 


3-53 


375.79 


12-85 


139.22 


1-26 




8 


146.85 


16-80 


820.33 


3-29 


35.14 


3.24 


53 


620.59 


3-22 


362.97 


12.82 


140.43 


1.21 




9 


163.52 


16-67 


816-59 


3-74 


38.36 


3.22 


54 


623.50 


2-91 


350.18 


12.79 


141.58 


1.15 








16-54 




4.19 




3.20 




2.61 




12.76 




1.09 




10 


+180.06 




-812.40 




- 41.56 




55 


+626.11 




-337.43 




-142.67 






1 11 


196.44 


+16-38 


807.78 


+ 4.62 


44.73 


-3.17 


56 


628.42 


+2.31 


324.74 


+ 12.69 


143.71 


-1.04 




12 


212.64 


16-20 


802.72 


5-06 


47.88 


3.15 


57 


630.45 


2-03 


312.11 


J2-63 


144.69 


0-98 




13 


228.66 


16-02 


797.24 


5-48 


51.00 


3.12 


58 


632.19 


1.74 


299.55 


12-56 


145.61 


0-92 




14 


244.48 


15-32 


791.34 


5-90 


54.09 


3-09 


59 


633.66 


1.47 


287.06 


12.49 


146.48 


0-87 




15 


260.10 


16-62 


785.04 


6-30 


57.16 


3.07 


60 


634.86 


1.20 


274.65 


12-41 


147.29 


0-81 




16 


265.49 


15-39 


778.34 


6-70 


60.20 


3-04 


61 


635.79 


0.93 


262.33 


12.32 


148.05 


0-76 




17 


290.63 


J8-U 


771.25 


7-09 


63.20 


3.00 


62 


636.46 


0-67 


250.10 


12.23 


148.76 


0-71 




IS 


305.53 


14-90 


763.79 


7-46 


66.17 


2.97 


63 


636-87 


0-41 


237.96 


12-14 


149.41 


0-65 




19 


320.16 


14-63 
14-30 


755.96 


7-83 
8.18 


60.10 


2.93 
2.89 


64 


637.03 


+0-16 
-0-07 


225.92 


12-04 
11-94 


150.01 


0.60 
0-55 




20 


+334.52 




-747.78 




- 71.99 




65 


+636.96 




-213.98 




-150.56 






21 


348.60 


+14-03 


739.26 


+ 8-52 


74.85 


-2.86 


66 


636-64 


0-32 


202.14 


+11-84 


151.05 


-0.49 




22 


362.39 


13-79 


730.41 


8-85 


77.67 


2.62 


67 


636-10 


0-54 


190.40 


11-74 


151.49 


0-44 




23 


375.87 


13-48 


721.24 


9.17 


80.44 


2.77 


68 


635.33 


0-77 


178.78 


11.62 


151.88 


0-39 




24 


389.04 


13-17 


711.77 


9.47 


83.18 


2-74 


69 


634.35 


0-98 


167.26 


11.52 


152.22 


0-34 




25 


401.89 


12-85 


702.00 


9-77 


85.87 


2.69 


70 


633.15 


1.20 


155.86 


11.40 


152-51 


0.29 




26 


414.42 


12-53 


691.96 


10-04 


88.52 


2.65 


71 


631.75 


1.40 


144.59 


11-27 


152.74 


0-23 




27 


426.62 


12-20 


681.65 


10-31 


91.12 


2.60 


72 


630.14 


1.61 


133.44 


11-15 


152.93 


0-19 




28 


438.48 


11-86 


671.09 


10-56 


93.67 


2.56 


73 


628.34 


1-80 


122.42 


11-02 


153.06 


0-18 




29 


450.00 


11-52 

ii-n 


660.30 


10-79 
11-02 


96.18 


2.51 
2-46 


74 


626.34 


2-00 
2-18 


111.52 


10-90 
10-76 


153.15 


0-09 
-0-03 




30 


+461.17 




-649.28 




- 98.64 




75 


+624.16 




-100.76 




-153.18 






31 


471.99 


+10-82 


638.05 


+11-23 


101.05 


-2-41 


76 


621.80 


-2.36 


90.13 


+10.63 


153.16 


+0-02 




32 


482.45 


10-46 


626.63 


11-42 


103.40 


2.35 


77 


619.27 


2.53 


79.63 


10-50 


153.10 


0-06 




33 


492.55 


10-10 


615.03 


11-60 


105.71 


2.31 


78 


616.56 


2-71 


69.27 


10-36 


152.99 


0-11 




34 


502.29 


9-74 


603.25 


11.78 


107.96 


2.25 


79 


613.69 


2.87 


59.04 


10-23 


152.84 


0-15 




35 


511.68 


9-39 


591.32 


11-93 


110.16 


2-20 


80 


610.67 


3-02 


46.94 


10.10 


152.64 


0-20 




36 


520.71 


9-03 


579.24 


12-08 


112.31 


2.15 


81 


607.49 


3-18 


38.97 


9.97 


152.39 


0.25 




37 


529.38 


8-87 


567.02 


12-22 


114.40 


2.09 


82 


604.16 


3-33 


29.14 


9-83 


152.10 


0-29 




38 


537.69 


8-31 


554-69 


12-33 


116.44 


2-04 


83 


600.68 


3-48 


19.46 


9-68 


151.76 


0-34 




39 


545.65 


7-96 
7.60 


542.25 


12-44 
12-54 


118.43 


1-99 
1.93 


84 


597.07 


3.61 
3.76 


9.91 


9-55 
9-41 


151.38 


0-38 
0-43 




40 


+553.25 




-529.71 




-120.36 




85 


+593.32 




- 0.50 




-150.95 






41 


560.49 


+ 7-24 


517.09 


+12-62 


122.24 


-1.88 


86 


589.45 


-3.37 


+ 8.76 


+ 9-26 


150.48 


+0-47 




42 


567.37 


6-S8 


504.39 


12.70 


124.07 


1-83 


87 


585.45 


4.00 


17.89 


9-13 


149.97 


0-51 




43 


573.89 


0-52 


491.63 


12.76 


125.84 


1.77 


88 


581.32 


4.13 


26.86 


8-97 


149.41 


0-66 




44 


580.07 


6-18 


478.83 


12-80 


127.55 


1-71 


89 


577.08 


4-24 


35.73 


8-87 


148.81 


0-60 




45 


+585.90 


+ 5.83 


-465.98 


+12-35 


-129.21 


-1-66 


90 


+572.73 


-4-35 


+ 44.44 


+ 8-71 


-148.17 


+0-64 





27 











TABLE IV. 


Continued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












Tci 


ms multiplied with t. Argument = 


M. 












Arjj. 


i' 


Diff. 


v' 


DifiF. 


S' 


DifF. 


Arg. 


5' 


Diff. 


ri' 


DiiF. 


?' 


Diff. 




1 o 
90 


+572.73 




+ 44.44 




-148.17 




o 
135 


+309.51 




+305.43 




-85.39 






91 


568.27 


-4.46 


53.01 


+8.67 


147.48 


-0-69 


136 


302.92 


-6.69 


308.70 


+3.27 


83.43 


+1-96 




92 


563.71 


4-66 


61.45 


8.44 


146.76 


0-72 


137 


296.32 


6-60 


311.88 


3.18 


81.46 


1-97 




93 


559.04 


4.67 


69.74 


8.29 


146.00 


0-76 


138 


289.71 


6.61 


314.97 


3-09 


79-47 


1-99 1 




94 


554.28 


4-76 


77.90 


8.16. 


145.20 


0-80 


139 


283.09 


6-62 


317.97 


3.C0 


77.47 


2-00 ] 




95 


549.42 


4.86 


85.92 


8.02 


144.36 


«•" 140 


276.46 


6.63 


320.88 


2-91 


75.45 


2-02 




96 


544.48 


4-94 


93.81 


7-89 


143.48 


o-ss 


141 


269.83 


6.63 


323.70 


2.32 


73.41 


2-04 




97 


539.44 


6.04 


101.56 


7-76 


142.57 


0-91 


142 


263.19 


6-64 


326.43 


2.73 


71.36 


2-05 




98 


534.32 


5.12 


109.18 


7-62 


141.62 


0.95 


143 


256.54 


e.66 


329.08 


2-65 


69.29 


2-07 




99 


529.12 


5-20 
5.23 


116.66 


7-48 
7.36 


140.64 


0-93 
1-02 


144 


249.89 


6-66 
6.65 


331.64 


2-66 

2-47 


67.21 


2-08 
2-09 




100 


+523.84 




+124.01 




-139.62 




145 


+243.24 




+334.11 




-65.12 






101 


518.48 


-5-36 


131.23 


+7-22 


138.56 


-1-06 


146 


236.59 


-6.65 


336-49 


+2.33 


63.02 


+2-10 




102 


513.06 


3.42 


138.31 


7.08 


137.47 


1-09 


147 


229.94 


6.65 


338.79 


2.30 


60.90 


2-12 




103 


507.58 


5.43 


145.26 


6-96 


136.34 


1.13 


148 


223.28 


6.66 


341.01 


2.22 


56.77 


2.13 




104 


502.03 


5.0D 


152.08 


6-82 


135.18 


1-16 


149 


216.62 


6.66 


343.14 


2.13 


56.63 


2.14 




105 


496.42 


6.61 


158.77 


6-69 


133.96 


1.20 


150 


209.96 


6-66 


345.20 


2-06 


54.48 


2.15 




106 


490.75 


S.67 


165.33 


6.56 


132.75 


'•^' 151 


203.29 


6.67 


347.18 


1-98 


52.32 


2.16 




107 


485.02 


5-73 


171.77 


6-44 


131.48 


1-27 


152 


196.62 


6.07 


349.08 


1-90 


50.15 


2-17 




108 


479.24 


5-78 


176.08 


6.31 


130.19 


1.29 


153 


189.95 


6-67 


350.90 


1-82 


47.97 


2.18 




109 


473.41 


5.83 


184.27 


6-19 


128.87 


1.32 


154 


183.28 


6-67 


352-64 


1-74 


45.78 


2-19 








5.S9 




6-07 




1.35 




6-67 




1-66 




2-19 




110 


+467.52 




+190.34 




-127.52 


155 


+176.61 




+354-30 




-43.59 






111 


461.59 


-5-93 


196.29 


+5.95 


126.14 


-1.38 


156 


169.94 


-6-67 


355.89 


+1-59 


41.38 


+2-21 




112 


455.61 


5-98 


202.12 


5-83 


124.73 


1-41 


157 


163.27 


6.67 


357.40 


1-61 


39.16 


2-22 




113 


449.59 


6-02 


207.83 


6.71 


123.30 


1.43 


158 


156.61 


6-66 


356.84 


1-44 


36.94 


2-22 




114 


443.52 


6-07 


213.42 


5.59 


121.83 


1-47 


159 


149.94 


6.67 


360-20 


1-36 


34.71 


2-23 




115 


437.42 


6-10 


218.89 


6.47 


120.33 


1-50 


160 


143.28 


6-66 


361.48 


1-28 


32.47 


2-24 




116 


431.28 


6-14 


224.24 


6.35 


118.81 


1.62 


161 


136.61 


6-67 


362-69 


1-21 


30.23 


2-24 




117 


425.10 


6.18 


229.48 


8.24 


117.26 


1.66 


162 


129.95 


6-66 


363.83 


1-14 


27.98 


2-25 




118 


418.89 


6-21 


234.60 


6.12 


115.68 


1.53 


163 


123.29 


6-66 


364.90 


1-07 


25.73 


2-26 




119 


412.64 


6-25 
6-28 


239.61 


5.01 
4.90 


114.08 


1.60 
1.63 


164 


116.62 


6-67 
6.66 


365.90 


1-00 
0-92 


23.47 


2-26 
2-26 




120 


+406.36 




+244.51 




-112.45 




165 


+109.96 




+366.82 




-21.21 






121 


400.05 


-6-31 


249.28 


+4-77 


110.80 


-1.65 


166 


103.30 


-6-66 


367.67 


+0-85 


16.94 


+2-27 




122 


393.72 


6-33 


253.99 


4-71 


109.12 


1.68 


167 


96.65 


6.65 


368.45 


0-78 


16-67 


2.27 




123 


387.36 


6-36 


258.57 


4.68 


107.42 


1.70 


168 


90.00 


6.65 


369.16 


0-71 


14-40 


2.27 




124 


380.98 


6-3S 


263.04 


4-47 


105.69 


1.73 


169 


83.36 


6-64 


369.80 


0-64 


12.13 


2.27 




125 


374.57 


6-41 


267.40 


4-36 


103.95 


1-74 


170 


76.72 


6.64 


370.38 


0-68 


9.85 


2-28 




126 


368.14 


6-43 


271.66 


4-26 


102.18 


1-77 


171 


70.08 


6.64 


370.68 


0-50 


7.57 


2-28 




127 


361.69 


6-45 


275.81 


4.16 


100.30 


1-79 


172 


63.45 


6.63 


371.31 


0>43 


5.29 


2.28 




128 


355.23 


6-46 


279.86 


4-06 


98.50 


1.80 


173 


56.83 


6.62 


371.68 


0-37 


3.00 


2-29 




129 


348.75 


6-48 
6-50 


283.81 


3.95 
3-84 


96.76 


1-83 
1.86 


174 


50.20 


6.63 
6-63 


371.97 


0-29 
0-22 


- 0.72 


2.28 
2-29 




130 
131 


+342.25 
335.73 


-0.52 


+287.65 
291.40 


+3.76 


- 94.91 
93.05 


-1.86 


175 
176 


+ 43.57 
36.94 


-6.63 


+372.19 
372.35 


+0.16 


+ 1.57 
3.85 


+2.28 




132 
133 
134 


329.20 
322.65 
316.09 


6-53 
6.56 
6-56 


295.05 
298.60 
302.06 


3-66 
3.55 
3-46 


91.16 

89.25 
87.33 


1.89 
1.91 
1-92 


177 

178 
179 


30.31 
23.69 
17.07 


6-63 
6-62 
6.62 


372.44 
372.46 
372.41 


0-09 
+0.02 
-0.05 


6.14 

8.43 

10.71 


2-29 
2.29 

2-28 




135 


+309.51 


-6.68 


+305.43 


+3-37 


- 85.39 


-'■'* \ 180 


+ 10.45 


-6-62 


+372.30 


-O-ll 


+12.99 


+2-28 





28 











TABLE IV. 


Co-ntinued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












Terms multiplied with I. Argument = 


M. 












Arg. 


J' 


DiflF. 


n' 


DiflF. 


S' 


Diff. 


Arg. 


1' 


DiflF. 


V 


DiflF. 


r 


Diff. 




o 
180 


+ 10.45 




+372.30 




+ 12.99 




o 
225 


-281.71 




+294.58 




+106.59 






181 


+ 3.84 


-6.61 


372.12 


-0.18 


15.27 


+2.28 


226 


287.99 


-6.28 


291.10 


-3.48 


108.32 


+1.73 




183 


- 2.77 


6-61 


371.87 


0.35 


17.54 


2.27 


227 


394.26 


6.27 


287.53 


3-57 


110.03 


1-71 




183 


9.37 


6.60 


371.55 


0-32 


19.81 


2.27 


228 


300.52 


6.26 


283.87 


3.66 


111.72 


1.69 




184 


15.97 


6.60 


371.16 


0-39 


22.08 


2.27 


339 


306.77 


6.23 


280.13 


3.74 


113.39 


1.67 




185 


23.57 


6-60 


370.71 


0.45 


24.34 


2.26 


230 


313.00 


6.23 


276.29 


3-84 


115.03 


1.64 




186 


29.16 


6.59 


370.19 


0-52 


26.60 


2.26 


231 


319.31 


6.21 


272.37 


3-92 


116.65 


1.62 




187 


35.74 


6.58 


369.60 


0-59 


28.85 


2.25 


233 


335.40 


6.19 


268.36 


4-01 


118.24 


1.69 




188 


42.32 


6-58 


368.94 


0-66 


31.10 


2.23 


233 


331.57 


6.17 


264.25 


4.11 


119.81 


1.37 




189 


48.90 


6.58 
6.57 


368.21 


0-72 ' 
O-SO 


33.34 


2.24 
2.23 


334 


337.72 


6.13 
6.13 


260.04 


4.21 
4.30 


121.36 


1.55 
1.53 




190 


- 55.47 




+367.41 




+ 35.57 




235 


-343.85 




+255.74 




+122.89 






191 


62.04 


-6.57 


366.55 


-0.86 


37.80 


+2.23 


236 


349.95 


-6-10 


251.35 


-4.39 


124.39 


+1.50 




192 


68.60 


6.56 


365.62 


0.93 


40.02 


2.22 


237 


356.03 


6.03 


246.86 


4.49 


135.86 


1-47 




193 


75.17 


6.37 


364.63 


0-99 


42.23 


2.21 


238 


362.08 


6.03 


242.27 


4.59 


127.30 


1.44 




194 


81.73 


6-56 


363.56 


1-07 


44.44 


2.21 


239 


368.10 


6-02 


337.58 


4.69 


128.72 


1.42 




195 


88.28 


6.65 


362.43 


1-13 


46.64 


2.20 


240 


374.10 


6-00 


232.79 


4.79 


130.11 


].39 




196 


94.83 


6.53 


361.23 


1-20 


48.83 


2-19 


241 


380.07 


5.97 


227.90 


4.89 


131.47 


1.36 




197 


101.37 


6-54 


359.95 


1.28 


51.01 


2.18 


242 


386.01 


5.94 


999.91 


4.99 


132.81 


1.34 




198 


107.91 


6-64 


358.61 


1.34 


53.18 


2.17 


243 


391.91 


5.90 


217.82 


6.09 


134.11 


1.30 




199 


114.44 


6.33 
6.52 


357.20 


1.41 
1.49 


55.34 


2.16 
2.14 


244 


397.78 


6.87 
3.S4 


213.63 


6.19 
5.30 


135.38 


1.27 
1-24 




200 


-120.96 




+355.71 




+ 57.48 




245 


-403.62 




+307.33 




+136.62 






i 201 


137.48 


-6.52 


354.16 


-1.53 


59.63 


+2.14 


246 


409.42 


-3.80 


201.93 


-5.41 


137.83 


+1.21 




202 


133.99 


6-31 


353.53 


1.03 


61.75 


2.13 


247 


415.19 


5.77 


196.40 


3-32 


139.01 


1.18 




203 


140.50 


6.51 


350.84 


1-69 


63.86 


2-11 


348 


420.91 


3.72 


190.77 


3.63 


140.15 


1.14 




204 


147.00 


6.50 


349.07 


1-77 


65.96 


2.10 


349 


436.60 


5.69 


185.03 


5.74 


141.27 


1.12 




205 


153.50 


6-50 


347.33 


1-84 


68.05 


2.09 


250 


432.25 


5.65 


179.18 


3.85 


142.35 


1.08 




206 


160.00 


6.50 


345.32 


1.91 


70.13 


2.08 


251 


437.85 


3.6O 


173.22 


5.96 


143.40 


1.05 




207 


166.49 


6-49 


343.33 


1.99 


73.19 


2.06 


252 


443.40 


6.65 


167.14 


6.08 


144.41 


1-01 




208 


172.97 


6-48 


341.27 


2.06 


74.34 


2.03 


253 


448.90 


6.50 


160.95 


6.19 


145.39 


0-98 




209 


179.45 


6.48 
6-47 


339.14 


2.13 
2.20 


76.28 


2.04 
2.02 


254 


454.35 


5.45 
5.40 


154.65 


6-30 
6.42 


146.34 


0.95 
0-91 




210 


-185.92 




+336.94 




+ 78.30 




255 


-459.75 




+148.23 




+147.25 






211 


192.37 


-6.45 


334.67 


-2.27 


80.31 


+2.01 


256 


465.09 


-5.34 


141.69 


-6.54 


148.13 


+0.88 




212 


198.82 


6-45 


332.33 


2.34 


82.30 


1.99 


257 


470.38 


5.29 


135.03 


6.66 


148.97 


0-84 




213 


205.25 


6.43 


339.91 


2.42 


84.27 


1.97 


258 


475.60 


6.22 


128.25 


6.78 


149.77 


0.80 




214 


211.67 


6.42 


327.41 


2.50 


86.23 


1.96 


259 


480.76 


S.I6 


121.34 


6.91 


150.53 


0.76 




215 


218.08 


6.41 


324.83 


2.68 


88.17 


1-94 


260 


485.85 


5.00 


114.31 


7.03 


151.26 


0.73 




216 


224.49 


6.41 


323.18 


2-63 


90.09 


1.92 


261 


490.88 


5.03 


107.16 


7.15 


151.95 


0-69 




217 


230.89 


6-40 


319.44 


2.74 


92.00 


1.91 


262 


495.83 


4.95 


99.88 


7.28 


152.60 


0-65 




218 


237.29 


6-40 


316.61 


2.83 


93.89 


1.89 


263 


500.71 


4.8S 


92.48 


7-40 


153.21 


0.61 




219 


243.68 


6.39 
6-38 


313.71 


2-90 
2.99 


95.76 


1.87 
1-86 


264 


505.52 


4.8I 
4.73 


84.95 


7.33 
7-65 


153.78 


0.37 
0.53 




220 


-250.06 




+310.72 




+ 97.62 




365 


-510.25 




+ 77.30 




+154.31 






221 


256.42 


-6.36 


307.66 


-3.06 


99.45 


+1.83 


266 


514.90 


-4.65 


69.52 


-7.78 


154.79 


+0.48 




222 


262.77 


6.33 


304.51 


3-13 


101.27 


1-82 


267 


519.46 


4.36 


61.62 


7.90 


155.24 


0.43 




223 


269.10 


6-33 


301.28 


3.23 


103.06 


1.79 


268 


523.93 


4.47 


53.59 


8.03 


155.65 


0-41 




224 


275.41 


6-31 


297.97 


3.31 


104.84 


1-78 


269 


528.31 


4-38 


45.43 


8-16 


156.01 


0-30 




225 


-281.71 


-6.30 


+394.58 


-3.39 


+106.59 


+1.73 


270 


-532.59 


-4.28 


+ 37.14 


-8.29 


+156.33 


+0.32 





29 











TABLE IV. 


Continued. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. | 










Terms multiplied with t. Argument = 


M. 










Arg. 




Diff. 


V 


Diff. 


S' 


Diff. 


Arg. 


i' 


Diff 


V 


Diff. 


£' 


Diff. 




270 


-532.59 




+ 37.14 




+156.33 






315 


-549.99 




-458.42 




+120-33 




271 


536.78 


—4.19 


28.71 


- 8.43 


156-61 


+0-38 


316 


544.55 


+ 5.44 


471.06 


-12-64 


118-34 


-1-99 


272 


540.86 


4.08 


20.14 


8.57 


156.84 


0-23 


317 


538.78 


5.67 


483.67 


12-61 


116-29 


2-05 


273 


544.83 


3.97 


11.45 


8.69 


157.03 


0-19 


318 


532.67 


6.11 


496-25 


12-58 


114-19 


2-10 


274 


548.69 


3"S6 


+ 2.62 


8.63 


157.17 


0-14 


319 


526.21 


6.46 


508-79 


13-64 


112.03 


2-16 


275 


552-43 


S.74 


- 6.34 


8.96 


157.27 


0-10 


320 


519.40 


6.81 


521-27 


12-48 


109.83 


2-20 


276 


556.05 


3.63 


15.43 


9-09 


157.32 


0-05 


321 


512.25 


7.15 


533-69 


13-43 


107.57 


2-26 


277 


559.55 


3-50 


24.66 


9-23 


157.33 


+0-01 


322 


504.74 


7-51 


.546-03 


13-34 


105-26 


2-31 


276 


562.91 


3.36 


34.02 


9-36 


1.57.29 


-0-04 


323 


496.88 


7-86 


558-27 


12-24 


102-91 


2-35 


279 


566.14 


3.23 


43.51 


9-49 


157.20 


0-09 


324 


468.67 


• 8-21 


570.42 


12-16 


100-51 


2-40 
2-45 






3.09 




9.62 




0-14 






8-57 




12-03 




2S0 


-569.23 




- 53.13 




+157.06 




325 


-480.10 




-582.45 




+ 98-06 




281 


572.18 


—2.95 


62.89 


- 9.76 


156.88 


-0-18 


326 


471.17 


+ 8-93 


594.35 


-11-90 


95.57 


-3-49 


282 


574.98 


3-80 


72.77 


9.88 


156.65 


0-33 


327 


461.88 


9-39 


606.11 


11-76 


93.03 


2-54 


283 


577.63 


2.65 


82.78 


10-01 


156.37 


0-28 


328 


452.23 


9-65 


617.72 


11-61 


90.44 


2-69 


284 


580.13 


2.30 


92.93 


10-15 


156.05 


0-33 


329 


442.23 


10-00 


629.15 


11-43 


87.81 


2-63 


285 


582.47 


2.34 


103.20 


10-37 


155.68 


0-37 


330 


431.87 


10-36 


640.42 


11-27 


85.14 


2-67 


286 


584.64 


2.17 


113.60 


10-40 


155.26 


0-42 


331 


421.15 


10-73 


651.50 


11-08 


82.42 


2-73 


287 


586.64 


2.00 


124.13 


ia<S3 


154.79 


0-47 


332 


410.09 


11-06 


662.37 


10-87 


79-67 


2-75 


288 


588.46 


1-83 


134.78 


10-65 


154.27 


0-52 


333 


398.68 


11-41 


673.03 


10-66 


76-87 


2- SO 


289 


590.10 


1.64 
1.4s 


145.56 


10-78 
10-91 


153.69 


0.53 
0.63 


334 


386.93 


U-75 
12-09 


683.45 


10-42 
10-18 


74.03 


2-84 
2-88 


290 


-591.55 




-156.47 




+153.07 




335 


-374.84 




-693.63 




+ 71.15 




291 


592.80 


-1.25 


167.49 


-11-03 


152.39 


-0.68 


336 


362.42 


+12-43 


703..55 


- 9-92 


68.24 


-2-91 


292 


593.85 


1.05 


178.63 


11-14 


151.66 


0.73 


337 


349.68 


12-74 


713.20 


9-68 


65.29 


2.96 


293 


594.70 


0.85 


189.88 


11-25 


150.88 


0.78 


338 


336.62 


13-06 


722.56 


9-36 


62.31 


2-98 


294 


595.34 


0.64 


201.24 


11-36 


150.05 


0.83 


339 


323.25 


13-37 


731.63 


9-07 


59.29 


3-02 


295 


595.77 


0.43 


212.71 


11-47 


149.17 


0.88 


340 


309.57 


13-68 


740.39 


8-76 


56.24 


3-05 


296 


595.98 


-0.21 


224.28 


11-57 


148.23 


0.94 


341 


295.60 


13-97 


748.83 


8-44 


53.17 


3-07 


297 


595.96 


+0.03 


235.96 


11-68 


147.24 


0.99 


342 


281.33 


14-27 


756.93 


8-10 


50.07 


3-10 


298 


595.71 


0.35 


247.74 


11-78 


146.20 


1.04 


343 


266.78 


14-65 


764.68 


7-75 


46.94 


3-13 


299 


595.22 


0.49 
0.74 


259.61 


11-67 
11-96 


145.10 


MO 
1.15 


344 


251.97 


14-81 
16-07 


772.r,6 


7-38 
7-01 


43.79 


3-15 

3-18 


300 


-594.48 




-271.57 




+143.95 




345 


-236.90 




-779.07 




+ 40.61 




301 


593.49 


+0.99 


283.63 


-13.06 


142.75 


-1-20 


346 


221.58 


+15-33 


785.67 


- 0-60 


37.41 


-3-20 


302 


592.24 


1.25 


295.78 


12.15 


141.50 


1.25 


347 


206-04 


15-54 


791.94 


6-27 


34.18 


3-23 


303 


590.73 


1.51 


308.00 


12.22 


140.20 


1.30 


348 


190.28 


16-76 


797.78 


6-84 


30.94 


3-24 


304 


588.95 


1.78 


320.28 


12.28 


138.84 


1.36 


349 


174.32 


15-96 


803.21 


5-43 


27.67 


3-27 


305 


586.89 


2-06 


332.63 


12.37 


137.43 


1.41 


350 


158.17 


16-16 


808.22 


6-01 


24.39 


3-28 


306 


584.56 


2-33 


345.04 


13.41 


135.96 


1-47 


351 


141.85 


16-33 


812.80 


4-68 


21.10 


3-29 


307 


581.93 


2-63 


357.51 


12.47 


134.43 


1.63 


352 


125.36 


16-49 


816.94 


4.14 


18.80 


3-30 


308 


579.01 


2.92 


370.03 


13.62 


132.85 


1.58 


353 


108.74 


16-63 


820.63 


3.69 


14.48 


3-33 


309 


575.80 


3-31 
3.51 


382.59 


13.56 
12-60 


131.22 


1.63 

1.68 


354 


91.98 


16-76 
16.87 


823.87 


3.24 
3.78 


11.16 


3-33 
3-33 


310 


-572.29 




-395.19 




+129.53 




355 


- 75.11 




-826.65 




+ 7.83 




311 


568.46 


+3-83 


407.81 


-12.62 


127.79 


-1.74 


356 


58.14 


+16.97 


829.00 


- 2.35 


4.50 


-3.33 


312 


564.33 


4-13 


420.45 


12.64 


126.00 


1.79 


357 


41.09 


17.05 


830.86 


1.86 


+ 1.16 


3.34 


313 


559.88 


4.49 


433.11 


13.66 


124.16 


1.84 


358 


23.98 


17.11 


832.25 


1.39 


- 2.17 


3-34 


314 


555.10 


4-78 


445.76 


12.65 


122.27 


1.89 


359 


- 6.83 


17.15 


833.18 


0.93 


5.50 


3.33 


315 


-549.99 


+S.11 


-458.42 


-12.66 


+120.33 


-1.94 


360 


+ 10.37 


+17.20 


-833.64 


- 0.46 


- 8.83 


-3.3s 



30 











TABLE IV.— Continued. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. | 










ARGUMENT I. 










Arg. 


1' 


DifiF. 


^ 


Diflf. 


r 


Diff. 


Arg. 


r 


Diff. 


v 


Diff. 


£' 


Diff. 


o 



-3930 




+2377 




+ 17 




o 

45 


+4374 




+3666 




-256 




1 


2834 


+ 96 


2559 


+182 


11 


-6 


46 


4534 


+160 


3507 


-159 


258 


-2 


2 


3731 


103 


2737 


178 


+ 5 


6 


47 


4688 


154 


3342 


165 


260 


2 


3 


3619 


112 


2911 


174 


- 2 


7 


48 


4836 


148' 


3170 


172 


261 


1 


4 


3500 


119 


3081 


170 


9 


7 


49 


4976 


140 


2992 


178 


262 


1 


5 


3374 


136 


3246 


165 


15 


6 


50 


5108 


132 


2808 


184 


263 


-1 


6 


3241 


133 


3406 


160 


22 


7 


51 


5233 


125 


2619 


189 


263 





7 


3100 


141 


3560 


154 


30 


8 


52 


5350 


117 


2424 


195 


263 





8 


2953 


147 


3709 


149 


37 


7 


53 


5460 


110 


2225 


199 


263 





9 


2800 


153 


3852 


143 


44 


7 


54 


5560 


100 


2021 


204 


263 









IGO 




137 




7 




93 




209 




+1 


10 


-2640 




+3989 




- 51 


55 


+5653 




+1812 




-262 




11 


2474 


+ 166 


4120 


+131 


59 


-« 56 


5737 


+ 84 


1601 


-211 


261 


+1 


12 


2303 


171 


4244 


124 


66 


7 


57 


5812 


76 


1385 


216 


260 


1 


13 


2126 


177 


4360 


116 


74 


8 


58 


5878 


66 


1167 


219 


258 • 


2 


14 


1944 


isa 


4470 


110 


81 


7 


59 


5935 


67 


946 


221 


256 


2 


15 


1757 


1S7 


4572 


102 


89 


8 


60 


5983 


48 


723 


333 


254 


2 


16 


1565 


193 


4667 


96 


96 


7 


61 


6022 


39 


498 


225 


252 


2 
3 


17 


1369 


196 


4754 


87 


104 


8 


62 


6052 


30 


272 


226 


249 


18 


1169 


200 


4832 


78 


111 


7 


63 


6072 


20 


+ 44 


238 


246 


3 


1!) 


966 


303 
306 


4903 


71 
62 


119 


8 
7 


64 


6084 


12 

+ 2 


- 184 


328 
339 


243 


3 


20 


- 760 




+4965 




-126 




65 


+6086 




- 413 




-239 




21 


550 


+210 


5019 


+ 64 


134 


-8 


66 


6078 


- 8 


641 


-228 


235 


+4 


22 


338 


213 


5064 


45 


141 


7 


67 


6061 


17 


869 


228 


231 




23 


- 124 


314 


5101 


37 


148 


7 


68 


6035 


36 


1096 


227 


227 




24 


+ 93 


217 


5128 


27 


155 


7 


69 


6000 


35 


1322 


226 


223 




25 


310 


217 


5147 


19 


162 


7 


70 


5956 


44 


1546 


224 


218 


5 


26 


529 


319 


5157 


+ 10 


168 


6 


71 


5903 


53 


1768 


222 


213 


5 


27 


748 


319 


5157 





175 


7 


72 


5841 


62 


1988 


220 


208 


5 


23 


967 


219 


5149 


- 8 


181 


C 


73 


5770 


71 


2205 


217 


202 


6 


29 


1187 


220 
219 


5131 


18 
26 


188 


7 
6 


74 


5691 


79 
87 


2418 


313 
210 


197 


5 
6 


30 


+1406 




+5105 




-194 




75 


+5604 




-2628 




-191 




31 


1624 


+21S 


5069 


- 36 


200 


-6 


76 


5508 


- 96 


2835 


-207 


185 


+6 


32 


1841 


217 


5025 


44 


205 


5 


77 


5405 


103 


3037 


203 


179 


6 


33 


2056 


215 


4971 


54 


211 


6 


78 


5293 


112 


3235 


198 


173 


fi 


34 


2269 


213 


4909 


62 


216 


6 


79 


5174 


119 


3428 


193 


167 


6 


35 


2480 


211 


4838 


71 


221 


6 


80 


5048 


136 


3616 


188 


160 


7 


36 


2688 


208 


4758 


80 


226 


5 


81 


4915 


133 


3799 


1S3 


153 


7 


37 


2892 


204 


4669 


89 


230 


4 


82 


4775 


140 


3976 


177 


147 


6 


38 


3093 


201 


4572 


97 


234 


4 


83 


4629 


146 


4148 


173 


140 


7 


39 


3291 


198 
193 


4466 


106 
114 


238 


4 
4 


84 


4476 


153 
169 


4313 


165 
160 


133 


7 
7 


40 


+3484 




+4352 




-242 




85 


+4317 




-4473 




-126 




41 


3672 


+188 


4230 


-122 


245 


-3 


86 


4153 


-164 


4625 


-152 


118 


+8 


42 


3856 


184 


4101 


139 


248 


3 


87 


3983 


170 


4772 


147 


110 


8 


43 


4034 


178 


3963 


138 


251 


3 


88 


3808 


175 


4911 


139 


103 


7 


44 


4207 


173 


3818 


145 . 


254 


3 


89 


3629 


179 


5043 


183 


<16 


7 


1 45 


+4374 


+ 167 


+3666 


-152 


-256 


-2 


90 


+3445 


-184 


-5169 


-120 


- 89 


+7 



31 











TABLE IV. ConHnued. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. [ 










ARGUMENT I. 










Arg. 


." 


Diff. 


V 


Diff. 


S' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff 


S' 


Diff. 


o 

90 


+3445 




-5169 




- 89 






135 


-4688 




-3586 




+238 




91 


3257 


-183 


5287 


-118 


81 


+8 


136 


4785 


-97 


3434 


+ 162 


244 


+6 


92 


3065 


192 


5398 


lU 


73 


8 


137 


4876 


91 


3280 


164 


250 


6 


93 


2870 


195 


5501 


103 


66 


7 


138 


4962 


86 


3124 


160 


255 


5 


94 


2671 


199 


5597 


96 


58 


8 


139 


5042 


SO 


2066 


158 


261 


6 


95 


2470 


201 


5685 


88 


50 


8 


140 


5116 


74 


2606 


160 


267 


6 


96 


2267 


203 


5765 


80 


42 


8 


141 


5185 


69 


2646 


160 


272 


5 


97 


2061 


206 


5838 


73 


35 


7 


142 


5248 


63 


2484 


162 


277 


5 


98 


1853 


208 


5903 . 


65 


27 


8 


143 


5305 


57 


2322 


163 


283 


6 


99 


1643 


210 
210 


5961 


68 
49 


19 


8 
8 


144 


5357 


62 
46 


2158 


164 
163 


288 


5 
6 


100 


+1433 




-6010 




- 11 




145 


-5403 




-1995 




+293 




101 


1221 


-211 


6052 


- 42 


- .3 


+8 


146 


5444 


-41 


1831 


+164 


298 


+5 


102 


1009 


212 


6086 


34 


+ 5 


8 


147 


5479 


35 


1667 


164 


303 


5 


103 


. 796 


213 


6113 


27 


12 


7 


148 


5509 


30 


1503 


164 


307 


4 


104 


584 


212 


6131 


18 


20 


8 


149 


5533 


24 


1339 


164 


312 


5 


105 


372 


212 


6142 


11 


28 


8 


150 


5552 


19 


1175 


164 


316 


4 


106 


+ 160 


212 


6146 


- 4 


36 


8 


151 


5566 


14 


1012 


163 


321 


5 


107 


- 51 


211. 


6142 


+ 4 


43 


7 


152 


5575 


9 


850 


162 


325 


4 


108 


261 


210 


6131 


11 


51 


8 


153 


5579 


- 4 


689 


161 


329 


4 


109 


469 


208 
207 


6113 


18 
26 


59 


8 

7 


154 


5577 


+ 2 
6 


528 


161 
159 


332 


3 

4 


110 
111 


- 676 

681 


-205 


-6087 
6055 


+ 32 


+ 66 

74 


+8 


155 
156 


-5571 
5560 


11 


- 369 
212 


+ 167 


+336 
340 


+4 


112 


1083 


202 


6016 


39 


82 


8 


157 


5544 


16 


- 56 


156 


343 


3 


113 


1283 


200 


5970 


46 


89 


7 


158 


5524 


20 


+ 99 


155 


346 


3 


114 


1481 


198 


5917 


S3 


97 


8 


159 


5499 


26 


252 


15S 


349 


3 
3 


115 


1675 


194 


5857 


60 


104 


7 


160 


5470 


29 


404 


152 


352 


116 


1867 


192 


5792 


65 


111 


7 


161 


5437 


33 


553 


149 


355 


3 
3 

2 
2 


117 


2055 


138 


5720 


72 


119 


8 


162 


5399 


38 


700 


147 


358 


118 


2240 


185 


5642- 


78 


126 


7 


163 


5358 


41 


845 


145 


360 


119 


2421 


181 


5558 


84 


133 


7 


164 


5312 


46 


988 


143 


362 






177 




89 




7 






49 




140 




2 


120 


-2598 




-5469 




+140 




165 


-5263 


+53 


+1128 


+ 138 
136 


+364 


+2 
1 
2 
1 
\ 


121 


2771 


-173 


5374 


+ 95 


147 


+7 


166 


5210 


1266 


366 


122 


2940 


169 


5274 


100 


154 


7 


167 


5153 


57 


1402 


367 


123 


3104 


164 


5169 


lOS 


161 


7 


168 


5093 


60 


1535 


133 
130 
128 
124 
122 
119 
117 


369 


124 


3264 


160 


5059 


110 


168 


7 


169 


5030 


63 


1665 


370 


125 

126 


3419 
3570 


135 
151 


4944 

4825 


115 
119 


175 
181 


7 
6 


170 
171 


4964 

4894 


66 
70 


1793 
1917 


371 
371 




+ 1 


127 


3715 


145 


4701 


124 


188 


7 


172 


4821 


73 


2039 


372 






128 


3855 


140 


4574 


127 


194 


6 


173 


4746 


75 


2158 


372 


129 


3990 


135 


4442 


132 


201 


7 


174 


4668 


78 


2275 


372 






130 




135 




6 






81 




113 







130 


-4120 




-4307 




+207 




175 


-4587 


+83 
86 
88 
90 

+92 


+2388 


+110 
108 
104 
102 


+372 


— J 


131 
132 


4245 
4364 


-125 
119 


4169 

4028 


+138 
141 


214 
220 


+7 
6 


176 
177 


4504 
4418 


2498 
2606 


371 
370 


1 

1 


133 


4478 


114 


3883 


145 


226 


6 


178 


4330 


2710 


369 


1 


134 


4586 


108 


3736 


147 


232 


6 


179 


4240 


2812 


+ 98 


368 


—2 


135 


-4688 


-102 


-3586 


+150 


+238 


+6 


180 


-4148 


+2910 




+366 





32 











TABLE IV. 


Continued. 












PERTURBATIONS OF 


THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












ARGUMENT 


r. 














Arg. 


6' 


Diff. 


V 


Diff. S' 


Diff. 


Arg. 


«' 


Diff. 


V 


Diff. 


S' 


Diff. 




o 
180 


-4148 




+2910 




+366 




o 

225 


+ 988 




+4377 




+ 26 






181 


4054 


+ 94 


3005 


+ 95 


364 


- 2 


226 


1108 


+120 


4346 


- 31 


14 


-12 




182 


3958 


96 


3097 


92 


362 


2 


227 


1228 


120 


4311 


35 


+ 3 


11 




183 


3860 


98 


3187 


90 


360 


2 


223 


1347 


119 


4273 


38 


- 9 


12 




184 


3761 


99 


3273 


86 


357 


3 


229 


1466 


119 


4232 


41 


20 


11 




185 


3660 


101 


3356 


63 


354 


3 


230 


1585 


119 


4188 


44 


31 


11 




186 


3557 


103 


3436 


80 


350 


4 


231 


1702 


117 


4141 


47 


42 


11 




167 


3453 


104 


3513 


77 


347 


3 


232 


1819 


117 


4090 


61 


53 


11 




183 


3348 


105 


3587 


74 


343 


4 


233 


1935 


116 


.4036 


54 


64 


11 




189 


3242 


106 
107 


3658 


71 
68 


339 


4 
6 


234 


2050 


116 
114 


3979 


57 
61 


75 


11 
11 




190 


-3135 




+3726 




+334 




235 


+2164 




+3913 




- 86 






191 


3026 


+109 


3791 


+ 65 


330 


- 4 


236 


2277 


+113 


3354 


- 64 


96 


-10 




192 


2917 


109 


3853 


62 


325 


6 


237 


2333 


111 


3787 


67 


107 


11 




193 


2806 


111 


3913 


CO 


319 


6 


238 


2498 


110 


3716 


71 


117 


10 




194 


2695 


111 


3969 


56 


314 


6 


239 


2607 


109 


3642 


74 


127 


10 




195 


2532 


113 


4023 


64 


308 


6 


240 


2714 


107 


3565 


77 


137 


10 




196 


2469 


113 


4074 


61 


302 


6 


241 


2820 


106 


3434 


81 


147 


10 




197 


2356 


113 


4122 


48 


295. 


7 


242 


2923 


103 


3400 


84 


156 


9 . 




198 


2241 


116 


4168 


46 


288 


7 


243 


3025 


102 


3313 


87 


166 


10 




191) 


2136 


115 
116 


4210 


42 
40 


231 


7 
7 


244 


3125 


100 
98 


3222 


91 
94 


175 


9 

8 




200 


-2011 




+4250 




+274 




245 


+3223 




+3128 




-183 






201 


1894 


+117 


4237 


+ 37 


266 


- 8 


246 


3318 


+ 95 


3030 


- 98 


192 


- 9 




202 


1778 


116 


4322 


35 


258 


8 


247 


3411 


93 


2929 


101 


200 


8 




. 203 


1660 


lis 


4354 


32 


250 


8 


243 


3501 


90 


2825 


104 


208 


8 




204 


1543 


117 


4383 


29 


242 


8 


249 


3589 


88 


2718 


107 


215 


7 




205. 


1424 


119 


4410 


27 


233 


9 


250 


3674 


85 


2608 


110 


223 


8 




206 


1306 


lis 


4434 


24 


225 


8 


251 


3756 


82 


2495 


113 


230 


7 




207 


1187 


119 


4455 


21 


216 


9 


252 


3835 


79 


2379 


116 


236 


6 




208 


1063 


119 


4474 


19 


206 


10 


253 


3911 


76 


•2259 


120 


243 


7 




209 


948 


130 

120 


4490 


16 
14 


197 


9 
10 


254 


3984 


73 
69 


2137 


122 
125 


248 


6 
6 




210 


- 828 




+4504 




+187 




255 


+4053 




+2012 




-254 






211 


708 


+120 


4515 


+ 11 


177 


-10 


256 


4119 


+ 66 


1384 


-128 


259 


- 6 




212 


587 


121 


4523 


8 


167 


10 


257 


4130 


61 


1753 


131 


264 


6 




213 


467 


120 


4528 


6 


157 


10 


258 


4238 


58 


1620 


133 


268 


4 




214 


346 


121 


4531 


+ 3 


147 


10 


259 


4292 


64 


1484 


136 


272 


4 




215 


225 


121 


4531 





136 


11 


260 


4342 


60 


1346 


138 


276 


4 




216 


- 103 


122 


4528 


- 3 


126 


10 


261 


4338 


46 


1206 


140 


279 


3 




217 


+ 18 


121 


4523 


6 


115 


11 


262 


4430 


42 


1063 


143 


282 


- 3 




218 


140 


122 


4515 


8 


104 


11 


263 


4467 


37 


918 


145 


285 


3 




219 


261 


121 
121 


4504 


11 
14 


93 


u 
11 


264 


4499 


32 

27 


772 


146 
148 


287 


2 

1 




220 


+ 382 




+4490 




+ 82 




265 


+4526 




+ 624 




-288 






221 


504 


+122 


4474 


-16 


71 


-11 


266 


4549 


+ 23 


474 


-160 


290 


- 1 




222 


625 


121 


4454 


20 


59 


12 


267 


4566 


17 


322 


152 


291 


- 1 




223 


746 


121 


4431 


23 


48 


11 


268 


4579 


13 


170 


152 


291 







224 


867 


121 


4406 


25 


37 


11 


269 


4586 


7 


+ 16 


164 


291 







225 


+ 988 


+121 


+4377 


- 29 


+ 26 


-11 


270 


+4533 


+ 2 


- 1-39 


—156 


-291 








33 











TABLE IV. Continued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












ARGUMENT I. 












Arg. 


r 


Diff. 


V 


Diff. 


r 


Diff. 


Arg. 


1' 


Diff. 


V 


Diff. 


r 


Diff. 




o 
270 


+4588 




- 139 




-291 




o 
315 


- 644 




-4428 




-12 






271 


4585 


- 8 


294 


-155 


290 


+1 


316 


825 


-181 


4392 


+ 36 


- 5 


+7 




272 


4576 


9 


450 


156 


289 


' 


317 


1005 


180 


4347 


45 


+ 3 


8 




273 


4561 


15 


606 


166 


287 


2 


316 


1184 


179 


4296 


51 


9 


6 




274 


4541 


20 


763 


167 


285 


2 


319 


1361 


177 


4236 


60 


16 


7 




275 


4515 


26 


919 


166 


283 


2 


320 


1535 


174 


4170 


66 


22 


6 




276 


4483 


33 


1076 


167 


281 


2 


321 


1707 


172 


4096 


74 


28 


6 




277 


4446 


37 


1231 


155 


278 


3 


322 


1876 


169 


4015 


81 


34 


6 




278 


4402 


44 


1386 


155 


274 


4 


323 


2042 


166 


3928 


87 


39 


5 




279 


4353 


49 
56 


1540 


154 
153 


270 


4 
4 


324 


2205 


163 
159 


3833 


96 
102 


45 


6 
5 




280 


+4297 




-1693 




-266 




325 


-2364 




-3731 




+50 






281 


4236 


- 61 


1844 


-151 


262 


+4 


326 


2519 


-165 


3623 


+108 


54 


+4 




282 


4169 


67 


1993 


149 


257 


6 


327 


2670 


161 


3508 


116 


59 


5 




283 


4095 


74 


2141 


148 


252 


5 


328 


2817 


147 


3387 


121 


63 


4 




284 


4016 


79 


2287 


146 


247 


S 


329 


2958 


141 


3260 


127 


66 


3 




285 


3931 


85 


2430 


143 


241 


6 


330 


3095 


137 


3127 


133 


■ 70 


4 




286 


3840 


91 


2570 


140 


236 


5 


331 


3226 


131 


3987 


140 


73 


3 




287 


3744 


96 


2707 


137 


229 


7 


332 


3352 


126 


2843 


144 


76 


3 




238 


3641 


103 


2842 


136 


223 


6 


333 


3472 


120 


2693 


150 


78 


2 




289 


3533 


108 
■ 113 


2972 


130 
127 


216 


7 
6 


334 


3586 


114 
107 


2538 


156 
160 


80 


2 
3 




290 
291 


+3420 
3301 


-119 


-3099 
3222 


-123 


-210 
203 


+7 


335 
336 


-3693 
3795 


-102 


-2378 
2213 


+165 


+82 
83 


+1 




292 
293 


3177 
3047 


124 
130 


3340 
3454 


118 
114 


195 

188 


8 

7 


337 
338 


3890 
3977 


95 

87 


2044 
1870 


169 
174 


84 
85 


1 
+1 




294 


2913 


134 


3563 


109 


180 


8 


339 


4058 


81 


1693 


m 


85 







295 


2774 


139 


3667 


104 


173 


7 


340 


4132 


74 


1512 


181 


85 





-1 

1 
1 




296 


2631 


143 


3766 


99 


165 


6 


341 


4198 


66 


1328 


134 


85 




297 


2483 


148 


3860 


94 


157 


8 


342 


4257 


69 


1140 


188 


84 




298 


2331 


162 


3968 


88 


149 


8 


343 


4308 


51 


950 


190 


83 




299 


2175 


136 


4030 


82 


141 


8 


344 


2351 


43 


758 


192 


82 








160 




76 




9 






36 




195 




2 




300 
301 


+2015 
1852 


-163 


-4106 
4176 


- 70 


-132 
124 


+8 


345 
346 


-4387 
4414 


- 27 
20 
11 

- 3 
+ 6 

14 
22 
30 
39 


- 563 
367 


+196 
197 
199 
300 
200 
200 
200 
199 
198 


+80 
78 


-2 
g 




302 
303 
304 
305 
306 
307 
308 


1686 

1516 

1344 

1169 

992 

814 

634 


166 

no 

172 
175 
177 
178 
180 


4239 
4297 
4347 
4390 
4427 
4456 
4479 


63 
58 
60 
43 
37 
39 
33 


116 

107 
99 
91 
82 
74 
66 


8 
9 
8 
8 
9 
8 
8 


347 
348 
349 
350 
351 
352 
353 


4434 
4445 
4448 
4442 
4428 
4406 
4376 


- 170 
+ 29 
229 
429 
629 
829 
1028 


75 
73 
70 
66 
63 
59 
54 


2 
3 

4 
4 
4 
5 

A 




309 


453 


181 


4494 


16 


58 


8 


354 


4337 


1226 


50 










182 




7 




8 






47 




197 




5 




310 
311 
312 


+ 271 

+ 88 
- 95 


-163 
183 


-4501 
4502 
4494 


- 1 

+ 8 


- 50 
42 
34 


+8 
8 


355 
356 

357 


-4290 
4234 
4170 


+ 56 
64 
72 
80 

+ 88 


+1423 
1619 

18J2 


+196 
193 
191 

188 
+186 


+45 
40 
35 


-6 
6 




313 


278 


183 


4480 


14 


26 


8 


358 


4098 


2003 


29 


Q 




314 
315 


461 

- 644 


183 
-183 


4458 
-4428 


22 
+ 30 


19 
- 12 


7 

+7 


359 
360 


4018 
-3930 


2191 

+2377 


23 

+17 


-6 





34 











TABLE IV. ConUmed. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












ARGUMENT II. 












Arg. 


1' 


Diff. 


V 


Diff. 


£' 


Diff. 


Arg. 


4' 


Diff. 


V 


Diff. 


r 


Diff 




o 




+3377 




+2565 




- 4 






45 


-3049 




+2389 




+247 






1 


3266 


-lU 


2691 


+126 


+ 1 


+3 


46 


3136 


- 87 


2263 


-126 


248 


+1 




2 


3151 


115 


2813 


122 


7 


6 


47 


3218 


82 


2135 


128 


249 


1 




3 


3031 


120 


2930 


117 


12 


3 


48 


3293 


76 


2004 


131 


250 


+1 




4 


2906 


135 


3042 


112 


18 


C 


49 


3363 


70 


1871 


133 


250 







5 


2776 


130 


3148 


106 


24 


6 


50 


3426 


63 


1735 


136 


250 







6 


2642 


134 


3248 


100 


30 


6 


51 


3484 


38 


1598 


137 


250 







7 


2505 


137 


3343 


93 


37 


7 


52 


3535 


51 


1460 


138 


249 


-1 




8 


2363 


143 


3433 


90 


43 


6 


53 


3580 


45 


1320 


140 


248 


1 




9 


2218 


145 
147 


3517 


84 
77 


49 


6 


54 


3619 


39 
33 


1180 


140 
142 


246 


2 
2 




10 


+2069 




+3594 




+ 56 




55 


-3652 




+1038 




+244 






11 


1918 


-151 


3665 


+ 71 


63 


+7 


56 


3679 


- 27 


897 


-141 


242 


-2 




12 


1764 


154 


3730 


65 


70 




57 


3699 


20 


755 


143 


239 


3 




13 


1607 


137 


3789 


59 


77 




58 


3714 


15 


613 


143 


236 


3 




14 


1448 


159 


3842 


63 


84 




59 


3722 


8 


472 


141 


233 


3 




15 


1287 ■ 


161 


3888 


46 


91 




60 


3724 


- 2 


331 


141 


230 


3 




16 


1125 


162 


3927 


39 


98 




61 


3720 


+ 4 


191 


140 


226 


4 




17 


961 


164 


3959 


32 


105 




62 


3710 


10 


+ 52 


139 


222 


4 




18 


796 


163 


3985 


26 


112 




63 


3694 


16 


85 


137 


217 


3 




19 


630 


106 
166 


4004 


19 
13 


119 




64 


3673 


21 

27 


221 


136 
135 


212 


5 
5 




20 


+ 464 




+4017 




+126 




65 


-3646 




- 356 




+207 






21 


298 


-166 


4024 


+ 7 


133 


+7 


66 


3613 


+ 38 


488 


-132 


201 


-6 




22 


+ 131 


167 


4023 


- 1 


140 




67 


3575 


38 


618 


130 


196 


6 




23 


- 35 


166 


4016 


7 


147 




68 


3532 


43 


745 


127 


190 


6 




24 


200 


165 


4002 


14 


154 




69 


3484 


48 


869 


124 


183 


7 




25 


364 


164 


3982 


20 


160 


6 


70 


3430 


34 


991 


123 


177 


6 




26 


527 


163 


3955 


27 


167 


7 


71 


3372 


68 


1110 


119 


170 


7 




27 


689 


162 


3922 


33 


173 


6 


72 


3309 


63 


1225 


115 


163 


7 




28 


849 


160 


3882 


40 


179 


6 


73 


3242 


67 


1337 


112 


156 


7 




29 


1007 


158 
155 


3837 


45 
S3 


185 


6 
6 


74 


3171 


71 
76 


1446 


109 
103 


148 


8 
7 




30 


-1162 




+3785 




+191 




75 


-3095 




-1551 




+141 






31 


1315 


-153 


3727 


- 68 


196 


+5 


76 


3016 


+ 79 


1652 


-101 


133 


-8 




32 


1465 


150 


3664 


63 


202 


6 


77 


2933 


63 


1748 


96 


125 


8 




33 


1612 


147 


3595 


69 


207 


6 


78 


2847 


86 


1841 


93 


117 


8 




34 


1755 


143 


3520 


75 


212 


3 


79 


2757 


90 


1930 


89 


109 


8 




35 


1895 


140 


3440 


80 


217 


5 


80 


2665 


92 


2014 


84 


100 


9 




36 


2031 


136 


3355 


83 


221 


4 


81 


2570 


95 


2094 


80 


92 


8 




37 


2163 


132 


3265 


90 


225 


4 


82 


2472 


98 


2170 


76 


83 


9 




38 


2291 


128 


3170 


95 


229 


4 


83 


2371 


101 


2241 


71 


74 


9 




39 


2414 


133 
119 


3071 


99 
104 


233 


4 
3 


84 


2269 


103 
104 


2307 


66 
62 


66 


8 
9 




40 


-2533 




+2967 




+236 




85 


-2165 




-2369 




+ 57 






41 


2646 


-113 


2859 


-103 


239 


+3 


86 


2059 


+106 


2426 


- 67 


48 


-9 




42 


2755 


109 


2747 


112 


241 


2 


87 


1952 


107 


2479 


63 


39 
30 


9 




43 


2859 


104 


2631 


116 


244 


3 


88 


1843 


10!) 


2526 


47 


9 




44 


2957 


98 


2512 


119 


246 


2 


89 1734 


109 


2570 


44 


21 

+ 12 


9 




45 


-3049 


- 92 


+2389 


-123 


+247 


+1 


90 -1623 


+111 


-2608 


- 33 


-9 





35 



TABLE IV. — Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT II. 



Arg 



90 
91 
92 
93 
94 
95 
96 
97 
98 
99 

100 
101 
102 
103 
104 
105 
106 
107 
108 
109 

110 
111 
112 
113 
114 
115 
116 
117 

lis 

119 

120 
121 
122 
123 
124 
125 
126 
127 
128 
129 

130 
131 
132 
133 
134 
135 



-1623 
1513 

1402 

1290 

1179 

1063 

958 

848 

739 

632 

- 525 
420 
316 
214 
114 

- 16 
+ 80 

174 
266 
355 

+ 441 
525 
607 
686 
762 
835 
906 
973 
1038 
1100 

+1160 
1216 
1270 
1322 
1370 
1416 
1460 
1501 
1539 
1575 

+1609 
1640 
1669 
1696 
1721 

+1744 



Diff. 



+110 

111 

11-2 
111 
111 
110 
110 
109 
107 

107 

+105 
104 
lOJ 
100 
93 
96 
94 
92 
69 

86 

+ 84 
82 
79 
76 
73 
71 
67 
65 
62 



+ 56 
64 
52 
48 
46 
44 
41 
38 
36 

34 

+ 31 
39 
27 
25 



-2608 

2642 
2672 
2697 
2717 
2733 
2745 
2753 
2756 
2755 

-2751 
2742 
2730 
2715 
2696 
2673 
2648 
2619 
2588 
2554 

-2517 
2478 
2437 
2394 
2349 
2302 
2253 
2203 
2152 
2100 

-2046 
1992 
1938 
1882 
1826 
1770 
1714 
1657 
1601 
1545 

-1488 
1433 
1377 
1322 
1268 

-1214 



DifiF. 



so 

25 

20 

16 

13 

8 

- 3 

+ 1 



12 
15 
19 
23 
35 
39 
31 
34 

37 

+39 
41 
43 
45 
47 
49 
50 
51 
52 

54 

+54 
56 
56 
56 
56 
56 
57 
66 
56 

67 

+56 
66 
66 
54 

+54' 



S' 



+ 12 

+ 3 

- 6 

15 

24 
32 
41 
49 
58 
66 

+ 74 

82 

90 

98 

106 

113 

120 

127 

134 

141 

+147 
154 
160 
166 
171 
177 
182 
187 
192 
197 

+201 
205 
209 
213 
216 
220 
223 
226 
229 
231 

+234 
236 
238 
240 
241 

+243 



Diflf. 



-2 
3 
3 
1 

-2 



Arg. 



135 
136 
137 
138 
13!) 
140 
141 
142 
143 
144 

145 
146 
147 
148 
149 
150 
151 
152 
153 
154 

155 
156 
157 
158 
159 
160 
161 
162 
163 
164 

165 
166 
167 
168 
169 
170 
171 
172 
173 
174 

175 
176 
177 

178 
179 
180 



+1744 
1765 
1785 
1803 
1820 
1835 
1849 
1861 
1873 
1883 

+1893 
1901 
1909 
1916 
1922 
1928 
1933 
1938 
1942 
1946 

+1950 
1953 
1956 
1959 
1962 
1964 
1967 
1969 
1971 
1973 

+1975 
1976 
1977 
1978 
1979 
1979 
1978 
1978 
1976 
1974 

+1972 
1968 
1964 
1959 
1953 

+1946 



Diff. 



+21 
20 
18 
17 
16 
14 
13 
12 
10 

10 



+ 1 
1 
1 

+ 1 


- 1 


2 
2 



- 4 
4 
6 
6 

- 7 



-1214 

1161 

1109 

1057 

1006 

957 

907 

859 

812 

765 

- 719 
674 
630 
566 
544 
501 
460 
419 
379 
339 

- 299 
260 
222 
184 
145 
107 

70 

- 32 
+ 7 

45 

+ 83 
122 
161 
201 
240 
281 
322 
363 
405 
448 

+ 492 
536 
581 
627 
674 

+ 722 



Diff. 



+63 
62 
62 
61 
49 
60 
48 
47 
47 

46 

+46 
44 
44 
42 
43 
41 
41 
40 
40 

40 

+39 
38 
38 
39 
38 
37 
38 
39 
38 

38 

+39 
39 
40 
39 
41 
41 
41 
43 
43 

44 

+44 
46 
46 
47 

+48 



-243 
244 
245 
247 
248 
248 
249 
250 
250 
251 

-251 
251 
251 
251 
251 
251 
251 
251 
251 
251 

-251 
250 
250 
250 
249 
249 
249 
248 
248 
248 

-247 
247 
246 
246 
246 
245 
245 
244 
244 
243 

-243 
243 
242 
242 

241 
-240 



Diff. 



+1 




1 




1 






+0 

1 




1 



i 



1 



+0 

1 



1 

+1 



36 











TABLE IV. Cordimed. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. | 










ARGUMENT II. 










Arg. 


1' 


DiflF. 


V 


Diff. 


S' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff. 


S' 


Diff. 


o 
180 


+1946 




+ 722 




-240 




o 

225 


- 502 




+2765 




- 83 




181 


1938 


- 8 


771 


+ 49 


240 





226 


607 


-105 


2769 


+ 4 


75 


+8 


182 


1929 


9 


820 


49 


239 


+1 


227 


714 


107 


2770 


+ 1 


67 


8 


183 


1918 


11 


870 


60 


238 




228 


721 


107 


2766 


- 4 


60 


7 


184 


1905 


13 


921 


51 


237 




229 


929 


108 


2759 


7 


52 


8 


185 


1892 


13 


973 


62 


236 




230 


1037 


108 


2748 


11 


44 


8 


186 


1877 


15 


1025 


52 


235 




231 


1146 


109 


2732 


16 


36 


8 


187 


1860 


17 


1079 


64 


234 




232 


1255 


109 


2713 


19 


27 


9 


188 


1841 


19 


1133 


64 


233 




233 


1364 


109 


2689 


24 


19 


8 


189 


1821 


20 
22 


1187 


54 
66 


232 




234 


1473 


109 
109 


2661 


28 
32 


11 


8 
9 


190 


+1799 




+1242 




-231 




235 


-1582 




+2629 




- 2 




191 


1775 


- 24 


1298 


+ 56 


229 


+2 


236 


1690 


-108 


2593 


- 36 


+ 7 


+9 


192 


1748 


26 


1354 


66 


228 


1 


237 


1798 


108 


2552 


41 


15 


8 


193 


1720 


29 


1411 


57 


226 


2 


238 


1905 


107 


2507 


46 


24 


9 


194 


1689 


31 


1468 


67 


224 


2 


239 


2010 


105 


2457 


60 


32 


8 


195 


1656 


S3 


1525 


57 


222 


2 


240 


2115 


105 


2403 


54 


41 


9 


196 


1621 


35 


1582 


57 


220 


2 


241 


2218 


103 


2345 


68 


50 


9 


197 


1583 


38 


1639 


67 


218 


2 


242 


2320 


102 


2282 


63 


58 


8 


198 


1543 


40 


1696 


57 


216 


2 


243 


2420 


100 


. 2215 


67 


67 


9 


199 


1500 


43 
45 


1753 


67 
57 


213 


3 
3 


244 


2518 


98 
95 


2144 


71 

76 


75 


8 
9 


200 


+1455 




+1810 




-210 




245 


-2613 




+2069 




+ 84 




201 


1407 


- 48 


1867 


+ 57 


208 


+2 


246 


2706 


- 93 


1989 


- SO 


92 


+8 


202 


1357 


50 


1923 


56 


205 


3 


247 


2796 


90 


1906 


83 


101 


9 


203 


1304 


63 


1978 


66 


201 


4 


248 


2883 


87 


1818 


88 


109 


8 


204 


1248 


56 


2032 


54 


198 


3 


249 


2967 


84 


1726 


92 


117 


8 


205 


1190 


58 


2086 


54 


194 


4 


250 


3047 


80 


1631 


95 


125 


8 


206 


1129 


61 


2139 


53 


191 


3 


251 


3124 


77 


1532 


99 


133 


8 


207 


1065 


64 


2190 


61 


187 


4 


252 


3198 


74 


1429 


103 


140 


7 


208 


998 


67 


2240 


60 


183 


4 


253 


3267 


69 


1322 


107 


148 


8 


209 


929 


69 
72 


2289 


49 
47 


178 


5 
4 


254 


3333 


66 
61 


1213 


109 
113 


155 


7 
7 


210 


+ 857 




+2336 




-174 




255 


-3394 




+1100 




+162 




211 


782 


— 75 


2382 


+ 46 


169 


+5 


256 


3452 


- 58 


984 


-116 


169 


+7 


212 


705 


77 


2426 


44 


164 


5 


257 


3504 


62 


865 


119 


176 


7 


213 


626 


79 


2468 


42 


159 


' 258 


3552 


48 


743 


122 


183 


7 


214 


544 


82 


2507 


39 


154 


' 259 


3595 


43 


618 


125 


189 


6 


215 


439 


85 


2545 


38 


148 


' 260 


3633 


33 


491 


127 


195 


6 


216 


372 


87 


2580 


36 


142 


' 261 


3665 


32 


362 


129 


200 


5 


217 


283 


89 


2612 


32 


136 


8 


262 


3693 


28 


231 


131 


206 





218 
219 


191 

98 


92 
93 

96 


2642 
2669 


30 
27 

24 


130 
124 


6 
6 

7 


263 
264 


3715 
3732 


22 
17 

11 


+ 98 
- 37 


133 
135 

136 


211 
216 


5 
5 

6 


220 
221 
222 
223 
224 
225 


+ 2 

- 95 
195 
296 
398 

- 502 


- 97 
100 
101 
102 

-104 


+2693 
2714 
2732 
2746 
2757 

-2765 


+ 21 
18 
14 
11 

+ 8 


-117 
111 

104 

97 

90 

- 83 


+6 

7 

7 

7 

+7 


265 
266 
267 
268 
269 
270 


-3743 

3748 
3748 
3742 
3730 
-3712 


- 6 


+ 6 

12 

+ 18 


- 173 

310 

448 

587 

726 

-866 _ 


-137 
138 
139 
139 

-140 


+221 
225 
239 
233 
236 

+239 


+4 

4 

4 

3 
+3. 































37 











TABLE IV. ConMmed. 










PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. | 












ARGUMENT II. 










Arg. 


1' 


Diff. 


V 


Diff. i 


£' 


Diff. 


Arg. 


1' 


Diff. 


V 


Diff. 


S' 


Diff. 


270 
271 


-3712 
3633 


+ 24 


- 866 
1006 


-140 


+239 
242 


+3 




315 
316 


+1820 
1974 


+164 


-3753 

3685 


+ 68 


+71 
64 


-7 


272 
273 


3658 
3622 


SO 
36 


1145 
1284 


139 
139 


244 
246 


3 
3 


317 
318 


2126 
2274 


162 
148 


3611 
3531 


74 
80 


57 
51 


7 
6 


274 
275 


3580 
3532 


43 
48 


1423 
1560 


139 
137 


247 
249 


1 
3 


319 
320 


2419 
2560 


146 
141 


3445 
3353 


86 
92 


44 
38 


7 
6 


276 

277 
278 
279 


3478 
3419 
3353 
3231 


54 
S9 
66 
72 

77 


1696 
1331 
1964 
2095 


136 
135 
133 
131 

129 


250 
250 
250 
250 


+1 







321 
322 
323 
324 


2697 
2830 
2959 
3083 


137 
133 
129 
124 

119 


3256 
3152 
3043 
2929 


97 
104 
109 
114 

119 


31 
25 
19 
13 


7 
6 
6 
6 

6 


280 
281 

232 


-3204 
3121 
3032 


+ 83 
89 


-2224 
2350 
2473 


-126 
123 


+250 
249 
247 


-1 

3 


325 
326 

327 


+3202 
3316 
3425 


+114 
109 


-2810 
2686 

2558 


+124 
128 


+ 8 
+ 2 
- 3 


-6 
6 


233 


2937 


95 


2594 


121 


246 


1 


328 


3528 


103 


2425 


133 


8 


5 


284 
235 

236 


2338 
2733 
2622 


99 
105 
111 


2711 
2825 

2935 


117 
114 
110 


244 
242 
239 


2 
2 
3 


329 
330 
331 


3625 
3717 
3803 


97 
92 
86 


2288 
2146 
2001 


137 
142 
146 


13 
17 
21 


5 
4 
4 


237 
288 


2507 

2387 


115 
120 


3042 
3144 


107 
102 


237 
234 


3 
3 


332 
333 


3882 
3955 


79 
73 


1853 
1701 


148 
152 


25 
29 


4 
4 


289 


2263 


124 
129 


3241 


97 
93 


230 


4 
4 


334 


4022 


67 
60 


1547 


154 
167 


32 


3 

3 


290 
291 


-2134 
2001 


+133 


-3334 
3423 


- 89 


+226 
222 


-4 


335 
336 


+4082 
4136 


+ 64 


-1390 
1230 


+160 


-35 
37 


-2 


292 


1863 


138 


3507 


84 


218 


4 


337 


4183 


47 


1068 


162 


40 


3 


293 


1722 


141 


3585 


78 


213 


5 


338 


4223 


40 


905 


163 


42 


2 


294 


1578 


144 


3658 


73 


208 


6 


339 


4256 


33 


740 


165 


43 


1 


295 


1430 


148 


3725 


67 


203 


5 


340 


4282 


26 


573 


167 


45 


2 


296 


1278 


153 


3787 


62 


198 


S 


341 


4301 


19 


406 


167 


46 


1 


297 
298 


1124 

968 


154 
156 


3843 
3893 


56 
60 


192 

187 


6 
6 


342 
343 


4313 
4318 


13 

+ 6 


238 
- 70 


168 
168 


47 

47 


—1 




299 


809 


159 
161 


3936 


43 
38 


181 


6 
6 


344 


4316 


— 2 

8 


+ 98 


168 
169 


47 






300 
301 


-648 

485 


+163 


-3974 
4005 


- 31 


+175 
168 


-7 


345 
346 


+4308 
4292 


— 16 


+ 267 
434 


+167 


-47 
46 


+1 


302 


321 


164 


4030 


25 


162 


6 


347 


4269 


23 


601 


167 


45 


1 


303 


— 155 


166 


4049 


19 


155 


7 


348 


4239 


30 


767 


166 


44 


1 


304 


+ 12 


167 


4061 


13 


148 


7 


349 


4203 


36 


931 


164 


42 


2 


305 


179 


167 


4066 


- 6 


141 


7 


350 


4160 


43 


1093 


162 


40 


2 


306 
307 


346 
514 


167 

166 


4065 
4057 


+ 1 

8 


135 
128 


6 
7 


351 

352 


4110 
4053 


50 
67 


1254 
1412 


161 
168 


38 
35 


3 
3 


308 


681 


167 


4042 


15 


121 


7 


353 


3990 


63 


1568 


156 
133 


32 


3 
3 


309 


848 


167 


4021 


31 


114 


7 


354 


3921 


69 


1721 


29 






166 




28 




8 






78 




160 




4 


310 
311 
312 
313 


+1014 
1179 
1342 
1503 


+165 
163 
161 


-3993 
3958 
3916 

3868 


+ 35 

42 
48 


+106 
99 
92 

85 


-7 
7 

7 


355 
356 
357 

358 


+3845 
3763 
3675 
3581 


- 82 
88 
94 
99 

-105 


+1871 
2017 
2160 
2299 


+146 
143 
139 
136 

+131 


-25 
22 

18 
13 


+3 
4 
5' 
4 

+6 


314 
315 


1662 
+1820 


169 
+158. 


3814 
-3753 


64 
+ 61 


78 
+ 71 


7 

-7 


359 
360 


3482 
+3377 


2434 
+2565 


9 
- 4 



38 



TABLE lY. — Continued. 






PERTURBATIONS OP THF, CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT III. 






Arg. 


s" 


Diff. 


V 


Diff. 


£' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff. 


r 


Diff. 




o 



-2415 




+1351 




-186 




o 
45 


- 901 




+2619 




-95 






1 


2396 


+19 


1390 


+39 






46 


852 


+49 


2634 


+15 








2 


2376 


20 


1428 


38 




+ 3 


47 


803 


49 


2649 


15 




+10 




3 


2355 


21 


1466 


33 


183 




48 


754 


49 


2663 


14 


85 






4 


2334 


21 


1504 


33 






49 


704 


60 


2677 


14 








5 


2312 


22 


1541 


37 




4 


50 


653 


61 


2690 


13 




10 




6 


2290 


22 


1578 


37 


179 




51 


602 


61 


2702 


12 


75 






7 


2267 


23 


1615 


37 






52 


550 


52 


2714 


12 








8 


2243 


24 


1651 


36 




3 


53 


498 


62 


2725 


11 




12 




9 


2219 


24 
25 


1686 


33 
35 


176 




54 


446 


52 
52 


2735 


10 
10 


63 






10 


-2194 




+1721 






4 


55 


- 394 




+2745 






12 




11 


2168 


+2G 


1756 


+35 






56 


341 


+83 


2754 


+ 9 








12 


2142 


26 


1790 


34 


172 




57 


288 


53 


2762 


8 


51 






13 


2115 


27 


1824 


34 






58 


234 


64 


2770 


8 








14 


2088 


27 


1857 


33 




S 


59 


180 


64 


2777 


7 




12 




15 


2060 


28 


1890 


33 


167 




60 


126 


64 


2783 


6 


39 






16 


2031 


29 


1922 


32 






61 


72 


54 


2788 


5 








17 


2002 


29 


1954 


32 




5 


62 


- 18 


64 


2793 


5 




12 




18 


1972 


30 


1985 


31 


162 




63 


+ 37 


55 


2796 


3 


27 






19 


1941 


31 
31 


2016 


31 
30 




5 


64 


92 


55 
55 


2799 


3 
3 




13 




20 


-1910 




+2046 








65 


+ 147 




+2802 










21 


1878 


+32 


2075 


+29 


157 




66 


202 


+S5 


2803 


+ 1 


-14 






22 


1845 


33 


2104 


29 






67 


257 


65 


2803 











23 


1811 


34 


2133 


29 




6 


68 


312 


66 


2803 







14 




24 


1777 


34 


2161 


23 


151 




69 


367 


65 


2802 


- 1 









25 


1742 


35 


2188 


27 






70 


422 


65 


2800 


2 








26 


1706 


36 


2215 


27 




7 


71 


477 


55 


2797 


3 




14 




27 


1670 


36 


2241 


26 


144 




72 


532 


55 


2793 


4 


+14 






28 


1633 


37 


2267 


26 






73 


587 


65 


2789 


4 








29 


1595 


38 
33 


2292 


25 
25 




7 


74 


642 


55 
65 


2783 


6 

7 




14 




3(1 


-1557 




+2317 




137 




75 


+ 697 




+2776 




28 






31 


1518 


+39 


2341 


+34 






76 


751 


+64 


2769 


- 7 








32 


1478 


40 


2364 


23 




7 


77 


806 


55 


2760 


9 




14 




33 


1437 


41 


2387 


23 


130 




78 


860 


54 


2751 


9 


42 






34 


1396 


41 


2410 


23 






79 


914 


54 


2740 


11 








35 


1354 


42 


2432 


22 




8 


80 


967 


63 


2728 


12 




14 




36 


1312 


42 


2453 


21 


122 




81 


1020 


53 


2716 


12 


56 






37 


1269 


43 


2474 


21 






82 


1073 


63 


2702 


U 








38 


1225 


44 


2494 


20 




B 


83 


1126 


53 


2687 


16 




15 




39 


1180 


45 
45 


2514 


20 
19 


114 




84 


1179 


68 
62 


2672 


15 
17 


71 






40 


-1135 




+2533 






9 


85 


+1231 




+2655 






14 




.41 


1089 


+46 


2551 


+18 






86 


1282 


+51 


2637 


-18 






42 


1043 


46 


2569 


13 


105 




87 


1333 


51 


2618 


19 


85 






43 


996 


47 


2586 


17 






88 


1384 


51 


2598 


26 








44 


949 


47 


2603 


17 




+10 


89 


1434 


50 


2577 


21 




+14 




45 


- 901 


+48 


+2619 


+16 


- 95 




90 


+ 1484 


+50 


+2554 


-23 


+99 







39 











TABLE IV. Cordmued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 










ARGUMENT III. j 




Arg. 


5' 


Diff. 


V 


Diff. 


S' 


Diff. 


Arg. 


s" 


Diff. 


V 


Diff. 


r 


Diff 




o 
90 


+1484 




+2554 




+ 99 




o 
135 


+3026 




+ 599 




+243 






91 


1534 


+60 


2531 


-28 






136 


3040 


+14 


543 


-56 








92 


1583 


49 


2506 


25 




+14 


137 


3053 


13 


487 


66 




+2 




93 


1631 


48 


2481 


23 


113 




138 


3065 


13 


431 


56 


245 






94 


1679 


48 


2454 


27 






139 


3076 


11 


375 


66 








95 


1726 


47 


2426 


28 




14 


140 


3086 


10 


320 


53 




+3 




96 


1773 


47 


2398 


28 


127 




141 


3095 


9 


264 


56 


247 






97 


1319 


46 


2368 


30 






142 


3103 


8 


208 


66 








98 


1865 


46 


2336 


32 




13 


143 


3109 


6 


153 


55 









99 


1910 


43 

44 


2304 


S3 
33 


140 




144 


3113 


G 

4 


97 


56 
65 


247 






100 


+1954 




+2271 






13 


145 


+3119 




+ 42 






—1 




101 


1998 


+44 


2237 


-34 






146 


3122 


+ 3 


- 13 


-55 








102 


2041 


43 


2202 


36 


133 




147 


3124 


2 


67 


64 


246 






103 


2083 


42 


2165 


37 






148 


3125 


+ 1 


122 


55 








104 


2125 


42 


2123 


S7 




13 


149 


3125 





176 


54 




2 




105 


2166 


41 


2090 


38 


166 




150 


3123 


- 2 


230 


64 


244 






106 


2207 


41 


2050 


40 






151 


3121 


2 


283 


63 








107 


2246 


39 


2010 


40 




13 


152 


3117 


4 


336 


53 




3 




108 


2285 


39 


1969 


41 


178 




153 


3112 


5 


389 


53 


241 






109 


2324 


39 
37 


1927 


42 
43 




11 


154 


3106 


6 

8 


441 


62 

62 




3 




110 


+2361 




+1884 








155 


+3098 


• 


- 493 










111 


2398 


+37 


1840 


-44 


189 




156 


3090 


- 8 


543 


-63 


238 






112 


2434 


36 


1795 


45 






157 


3080 


10 


596 


61, 








113 


2469 


35 


1749 


46 




10 


158 


3069 


11 


646 


60 




5 




114 


2304 


39 


1703 


46 


199 




159 


3036 


13 


696 


50 


233 






115 


2538 


34 


1656 


47 






160 


3043 


13 


746 


50 








116 


2570 


32 


1608 


48 




9 


161 


3028 


15 


795 


49 




3 




117 


2602 


32 


1559 


49 


208 




162 


3013 


15 


844 


49 


228 






118 


2634 


3-2 


1510 


49 






163 


2996 


17 


892 


48 








119 


2664 


30 
30 


1460 


50 
61 




8 


164 


2978 


18 
19 


940 


48 
47 




6 




120 


+2694 




+1409 




216 




165 


+2939 




- 987 




222 






121 


2722 


+28 


1358 


-51 






166 


2938 


-21 


1034 


-47 








122 


2750 


28 


1306 


52 




8 


167 


2917 


21 


1080 


46 




6 




123 


2777 


27 


1254 


52 


224 




168 


2894 


23 


1126 


46 


216 






124 


2803 


28 


1201 


53 






169 


2870 


24 


1171 


45 








123 


2828 


25 


1148 


53 




6 


170 


2845 


25 


1215 


44 




7 




126 


2352 


24 


1094 


54 


230 




171 


2819 


26 


1259 


44 


209 






127 


2875 


23 


1040 


54 






172 


2792 


27 


1303 


44 








128 


2898 


23 


986 


64 




6 


173 


2764 


28 


1346 


43 




8 




129 


2919 


31 

20 


931 


65 
55 


236 




174 


2735 


29 
30 


1388 


42 
41 


201 






130 


+2939 




+ 876 






4 


175 


+2705 




-1429 






8 




131 


2939 


+20 


831 


-55 






176 


2674 


-31 


1471 


-42 








132 


2977 


18 


766 


53 


240 




177 


2642 


32 


1.512 


41 


193 






133 


2994 


17 


711 


S3 






178 


2609 


33 


1352 


40 








134 


3011 


17 


655 


56 




+ 3 


179 


2575 


34 


1591 


39 




-8 




135 


+3026 


+15 


+ 599 


-56 


+243 




180 


+2340 


-33 


-1630 


-39 


+183 





40 







TABLE IV. Coniimed. 












PERTURBATIONS OF ' 


IHE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 










ARGUMENT III. 












Arg. 


s" 


Diff. 


V 


DifF. 


S' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff. 


r 


Diff. 






o 
180 


+2540 




-1630 




+185 






225 


+ 463 




-2740 




+ 42 








181 


2304 


-36 


1669 


-39 






226 


414 


-49 


2747 


- 7 










182 


2467 


37 


1707 


33 




- 9 


227 


365 


49 


2754 


7 




- 9 






183 


2430 


37 


1744 


37 


176 




228 


317 


43 


2759 


5 


33 








184 


2392 


38 


1781 


37 






229 


269 


48 


2764 


6 










185 


2353 


39 


1817 


36 




9 


230 


221 


48 


2768 


4 




10 






186 


2313 


40 


1853 


36 


167 




231 


173 


48 


2771 


3 


23 








187 


2272 


41 


1888 


35 






232 


125 


48 


2773 


2 










188 


2231 


41 


1922 


34 




9 


233 


78 


47 


2774 


- 1 




10 






189 


2189 


42 
43 


1956 


34 
33 


158 




234 


+ 30 


48 
47 


2774 



+ 1 


13 








190 


+2146 




-1989 






9 


235 


- 17 




-2773 






10 






191 


2103 


-43 


2022 


-33 






236 


64 


-47 


2771 


+ 2 










192 


2059 


44 


2054 


32 


149 




237 


111 


47 


2768 


3 


+ 3 








193 


2015 


44 


2086 


33 






238 


157 


46 


2765 


3 










194 


1970 


45 


2117 


31 




10 


239 


203 


46 


2760 


6 




10 






195 


1925 


45 


2147 


30 


139 




240 


249 


46 


2754 


6 


- 7 








196 


1879 


4G 


2177 


30 






241 


295 


46 


2748 


6 










197 


1833 


46 


2206 


29 




9 


242 


341 


46 


2740 


8 




10 






198 


1786 


47 


2235 


39 


130 




243 


387 


46 


2732 


8 


17 








199 


1739 


47 
47 


2263 


23 
27 




10 


244 


432 


45 
45 


2723 


9 
10 




10 






200 


+1692 




-2290 








245 


- 477 




-2713 












201 


1644 


-43 


2317 


-27 


120 




246 


522 


-46 


2702 


+11 


27 








202 


1596 


4S 


2343 


26 






247 


566 


44 


2690 


12 










203 


1548 


48 


2369 


26 




9 


248 


611 


45 


2677 


13 




9 






204 


1499 


49 


2393 


24 


111 




249 


655 


44 


2663 


14 


36 








205 


1450 


49 


2417 


24 






250 


699 


44 


2649 


14 










206 


1401 


49 


2441 


24 




10 


251 


742 


43 


2634 


15 




10 






207 


1352 


49 


2463 


22 


101 




252 


786 


44 


2617 


17 


46 








208 


1303 


49 


2485 


22 






253 


829 


43 


2600 


17 










209 


1254 


49 
60 


2506 


21 

21 




10 


254 


872 


43 
43 


2582 


18 
19 




9 






210 


+1204 




-2527 




91 




255 


- 915 




-2.563 




55 








211 


1175 


-49 


2547 


-20 






256 


957 


-42 


2544 


+19 










212 


1105 


51 


2566 


19 




10 


257 


1000 


43 


2523 


21 




10 






213 


1055 


60 


2584 


13 


81 




258 


1042 


42 


2502 


21 


65 








214 


1006 


49 


2602 


18 






250 


1083 


41 


2481 


21 










215 


956 


60 


2618 


16 




9 


260 


1125 


42 


2458 


23 




9 






216 


906 


60 


2634 


16 


72 




261 


1166 


41 


2435 


23 


74 








217 


857 


49 


2649 


15 






262 


1207 


41 


2411 


24 










218 


807 


50 


2663 


14 




10 


263 


1248 


41 


2387 


24 




9 






219 


758 


49 
60 


2677 


14 
13 


62 




264 


1288 


40 
40 


2362 


25 
26 


83 








220 


+ 708 




-2690 






10 


265 


-1328 




-2336 






9 






221 


659 


-49 


2701 


-11 






266 


1368 


-40 


2310 


+26 










222 


610 


49 


2712 


11 


52 




267 


1407 


39 


2233 


27 


92 








223 


561 


49 


2722 


10 






268 


1446 


39 


2255 


28 










224 


512 


49 


2732 


10 




-10 


269 


1485 


39 


2227 


28 




— 8 






225 


+ 463 


-49 


-2740 


- 8 


+ 42 




270 


-1523 


-33 


-2198 


+29 


-100 







41 



TABLE lY.-^Coirtinmd. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT III. 




Arg. 


I' 


Diff. 


n' 


Diff. 


r 


Diff. Arg. 


1' 


Diff. 


V 


Diff. 


r 


Diff. 




270 


-1523 




-2198 




-100 


o 
315 


-2673 




- 554 




-188 






271 


1561 


-38 


2169 


+29 






316 


2682 


- 8 


513 


+41 








272 


1599 


38 


2139 


30 




-9 


317 


2690 


8 


471 


42 




-3 




273 


1636 


37 


2109 


SO 


109 




318 


2698 


8 


429 


42 


191 






274 


1673 


37 


2079 


30 






319 


2705 


7 


387 


42 








275 


1710 


37 


2048 


31 




^ 320 


2711 


6 


345 


42 




2 




276 


1746 


3G 


2016 


32 


117 


321 


2716 


S 


303 


42 


193 






277 


1781 


35 


1984 


32 






322 


2720 


4 


260 


43 








278 


1816 


33 


1951 


33 




8 


323 


2724 


4 


217 


43 




1 




279 


1851 


3S 
34 


1918 


33 
33 


125 




324 


2728 


4 
2 


175 


43 
43 


194 






280 


-1885 




-1885 






7 


325 


-2730 




- 132 


+43 




2 




281 


1918 


-33 


1852 


+33 






326 


2732 


— 2 


89 








282 


1951 


33 


1818 


34' 


132 




327 


2733 


- 1 


46^ 


43 


196 






283 


1984 


33 


1784 


34 






328 


2733 





- 3 


43 








284 


2016 


33 


1749 


35 




7 


329 


2733 





+ 40 


43 




-1 




285 


2047 


31 


1714 


33 


139 




330 


2732 


+ 1 


84 


44 


197 






286 


2078 


31 


1679 


33 






331 


2730 


2 


127 


43 








287 


2109 


31 


1643 


36 




7 


332 


2727 


3 


170 


43 









288 


2138 


29 


1607 


36 


146 




333 


2724 


3 


214 


44 


197 






289 


2167 


29 
29 


1571 


36 
36 




6 


334 


2720 


4 

4 


257 


43 

43 









290 
291 


-2196 
2223 


-27 - 


-1535 
1498 


+37 


152 




335 
336 


-2716 
2711 


+ 5 


+ 300 
344 


+44 


197 






292 


2250 


27 


1461 


37 






337 


2705 


6 


387 


4S 








293 


2277 


27 


1424 


37 




6 


338 


2699 


6 


431 


44 









294 


2303 


26 


1387 


.'!7 


158 




339 


2692 


7 


474 


43 


197 






295 


2328 


25 


1349 


38 






340 


2685 


7 


517 


43 








296 


2352 


24 


1311 


38 




6 


341 


2677 


8 


561 


44 









297 


2376 


24 


1273 


38 


164 




342 


2668 


9 


604 


43 


197 






298 


2399 


23 


1235 


38 






343 


2659 


9 


647 


43 
43 








299 


2421 


22 


1196 


3!) 




S . 


344 


2649 


10 


690 




+ 1 








22 




38 










10 




43 








300 
301 


-2443 
2463 


-20 


-1158 
1119 


+39 


169 




345 
346 


-2639 
2628 


+11 


+ 733 
775 


+42 


196 






302 


2483 


20 


1080 


39 




5 


347 


2616 


12 


818 


43 
42 
42 
42 
42 
42 
41 
41 




2 




303 


2502 


19 


1040 


40 


174 




348 


2604 


13 


860 


194 






304 


2521 


19 


1001 


39 






349 


2592 


13 


902 




1 




305 


2538 


17 


961 


40 




4 


350 


2579 


13 


944 






306 


2555 


17 


921 


40 


178 




351 


2565 


14 


986 


193 






307 

308 


2571 

2587 


16 
16 


881 
841 


40 
40 




4 


352 
353 


2550 
2535 


15 
15 
15 


1028 
1069 




2 




309 


2602 


IS 


801 


40 


182 




354 


2520 


1110 


191 










14 




41 










IG 




41 








310 


-2616 




- 760 


+41 




3 


355 


-2504 


+17 
17 
18 

18 


+1151 


+41 




2 




311 


2629 


-13 


719 






356 


2487 


1102 


40 








312 


2641 


12 


678 


41 


185 




357 


2470 


1232 


40 


189 






313 


2652 


11 


637 


41 




-3 


358 


2452 


1272 


39 




-+s 




314 
315 


2663 
-2673 


11 
-10 


596 
- 554 


41 

+42 


-188 


359 
360 


2434 
-2415 


+ 19 


1311 
+1351 


+40 


-186 







42 







TABLE IV. Cotrtinued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 








ARGUMENT IV. 






Arg. 


1' 


Difif. 


n' 


Diff. 


r 


Diff. 


Arg. 


1' 


Diff. 


V 


Diff. 


r 


Diff. 




o 



-1682 




+2878 




+160 




o 
45 


+ 822 




+3243 




- 2 






] 


1632 


+60 


2906 


+28 






46 


878 


+56 


3229 


-14 








2 


1582 


50 


2934 


28 




- 9 


47 


934 


66 


3214 


15 




-12 




3 


1531 


51 


2961 


27 


151 




48 


990 


56 


3198 


16 


14 






4 


1480 


61 


2987 


26 






49 


1045 


55 


3180 


18 








5 


1428 


62 


3012 


25 




9 


50 


1100 


65 


3162 


18 




11 




6 


1376 


62 


3037 


25 


142 




51 


1155 


55 


3144 


. IS 


25 






7 


3324 


52 


3060 


23 






52 


1210 


66 


3124 


20 








8 


1271 


53 


3082 


22 




9 


53 


1264 


54 


3103 


21 




13 




9 


1218 


53 
64 


3104 


22 
21 


133 




54 


1318 


64 
63 


3081 


22 
23 


37 






10 


-1164 




+3125 






10 


55 


+1371 




+3058 






12 




U 


1110 


+54 


3144 


+19 






56 


1424 


+63 


3035 


-23 








12 


1056 


64 


3163 


19 


123 




57 


1477 


53 


3010 


25 


49 






13 


1001 


55 


3181 


18 






58 


1529 


62 


2985 


26 








14 


946 


65 


3198 


17 




11 


59 


1581 


52 


2959 


26 




11 




15 


891 


55 


3214 


16 


112 




60 


1633 


62 


2932 


27 


60 






16 


835 


66 


3229 


15 






61 


1684 


51 


2904 


28 








17 


779 


66 


3243 


14 




10 


62 


1734 


50 


2875 


29 




12 




IS 


723 


56 


3257 


14 


102 




63 


1784 


50 


2845 


30 


72 






19 


667 


56 
66 


3269 


12 
11 




11 


64 


1833 


49 
49 


2814 


31 
31 




11 




20 


- 611 




+3280 








65 


+1882 




+2783 










21 


554 


+67 


3290 


+10 


91 




66 


1930 


+48 


2750 


-33 


83 






22 


497 


67 


3300 


10 






67 


1978 


48 


2717 


33 








23 


440 


67 


3308 


8 




11 


68 


2025 


47 


2683 


34 




11 




24 


383 


57 


3315 


7 


80 




69 


2072 


47 


2648 


35 


94 






25 


326 


67 


3322 


7 






70 


2118 


46 


2613 


35 








26 


268 


68 


3327 


5 




11 


71 


2163 


45 


2576 


37 




11 




27 


211 


67 


3331 


4 


69 




72 


2208 


45 


2539 


37 


105 






28 


153 


63 


3335 


4 






73 


2252 


44 


2501 


38 








29 


95 


68 


3337 


2 




13 


74 


2296 


44 


2462 


39 




10 








67 




+ 2 








42 




39 








30 
31 


- 38 

+ 20 


+58 


+3339 
3339 


D 


57 




75 
76 


+2338 
2380 


+42 


+2423 
2382 


-41 


115 






32 


78 


58 


3339 







12 


77 


2422 


42 


2341 


41 




10 




33 


136 


58 


3337 


— 2 


45 




78 


2463 


41 


2299 


42 


125 






34 


193 


67 


3335 


2 






79 


2503 


40 


2257 


42 








35 


251 


68 


3331 


4 




11 


80 


2542 


39 


2214 


43 




10 




36 


309 


58 


3327 


4 


34 




81 


2580 


38 


2170 


44 


135 






37 


366 


57 


3322 


5 






82 


2618 


38 


2125 


45 








38 


424 


68 


3315 


7 




12 


83 


2655 


37 


2080 


45 




9 




39 


481 


£7 
57 


3308 


7 
9 


22 




84 


2691 


30 
36 


2034 


46 
46 


144 






40 
41 


+ 538 
595 


+57 


+3299 
3290 


- 9 




12 


85 
86 


+2726 
2761 


+35 


+1988 
1941 


-47 




9 




42 
43 


652 

709 


57 
57 


3280 
3268 


10 
13 


+ 10 




87 
88 


2795 
2828 


34 
33 


1893 
1845 


48 
48 


153 






44 


766 


67 


3256 


12 




-12 


89 


2860 


32 


1796 


49 




- 9 




45 


,+ 822 


+56 


+3243 


-13 


- 2 




90 


+2891 


+31 


+1747 


-49 


-162 







43" 





TABLE lY.— Contmued. 




PERTURBATIONS OF 


THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 
ARGUMENT IV. 




Arg. 




Diff. 


V 


Diff. 


r 


Diff. 


Arg. 


«' 


Diff. 


V 


Diff 


r 


Diff. 




O 

90 


+2891 




+1747 




-162 




o 
135 


+3285 




- 808 




-231 






91 


2921 


+30 


1697 


-80 






136 


3270 


-16 


866 


-68 








92 


2950 


29 


1646 


51 




-8 


137 


3254 


16 


924 


58 









93 


2979 


S9 


1595 


51 


170 




138 


3237 


17 


981 


57 


231 






94 


3006 


27 


1544 


61 






139 


3218 


19 


1038 


67 








95 


3033 


27 


1492 


53 




* 140 


3199 


19 


1095 


67 




+1 




96 


3059 - 


26 


1439 


63 


178 


141 


3179 


20 


1151 


66 


230 






97 


3084 


25 


1386 


53 






142 


3158 


21 


1207 


66 








98 


3108 


24 


1332 


54 




7 


143 


3136 


22 


1263 


66 




1 




99 


3131 


23 
22 


1278 


64 
54 


185 




144 


3113 


23 

24 


1319 


66 
66 


229 






100 


+3153 




+1224 






7 


145 


+3089 




-1374 






2 




101 


3174 


+21 


1169 


-65 






146 


3064 


-26 


1428 


-64 








102 


3194 


20 


1114 


65 


192 




147 


3038 


26 


1483 


55 


227 






103 


3213 


19 


1059 


66 






148 


3011 


27 


1536 


63 








104 


3231 


IS 


1003 


66 







149 


2984 


27 


1590 


54 




3 




105 


3248 


17 


947 


56 


198 




150 


2955 


29 


1643 


63 


224 






106 


3265 


17 


890 


67 






151 


2925 


30 


1695 


52 








107 


3280 


16 


833 


67 




6 


152 


2894 


31 


1747 


52 




3 




108 


32i)4 


14 


776 


67 


204 




153 


2863 


31 


1798 


51 


221 






109 


3307 


13 
12 


719 


57 

68 




6 


154 


2830 


33 
33 


1849 


51 
60 




4 




110 


+3319 




+ 661 








155 


+2797 




-1899 










111 


3331 


+12 


604 


-57 


210 




156 


2763 


-34 


1949 


—60 


217 






112 


3341 


10 


546 


58 






157 


2728 


35 


1998 


49 








113 


3350 


9 


487 


59 




5 


158 


2692. 


36 


2046 


48 




4 




114 


3358 


8 


429 


68 


215 




159 


2655 


37 


2094 


48 


213 






115 


3365 


7 


370 


69 






160 


2617 


38 


2141 


47 








116 


3371 


6 


312 


68 




4 


161 


2579 


38 


2188 


47 




5 




117 


3376 


5 


253 


69 


219 




162 


2539 


40 


2234 


46 


208 






118 


3379 


3 


194 


69 






163 


2499 


40 


2279 


45 








119 


3382 


3 

2 


135 


59 
60 




3 


164 


2458 


41 
41 


2323 


44 
44 




6 




120 


+3384 




+ 75 




222 




165 


+2417 




-2367 




202 






121 


3385 


+ 1 


+ 16 


-59 






166 


2374 


—43 


2410 


-43 








122 


3384 


- 1 


- 43 


59 




3 


167 


2331 


43 


2452 


42 




6 




123 


3383 


1 


102 


59 


225 




168 


2267 


44 


2494 


42 


196 






124 


3381 


2 


162 


60 






169 


2243 


44 


2534 


40 








125 


3377 


4 


221 


69 




' 170 


2J97 


46 


2574 


40 




7 




126 
127 


3373 
3367 


4 
6 


280 
339 


69 
69 


228 


171 
172 


2151 
2105 


46 
46 


2613 
2652 


39 
39 


189 






128 


3360 


7 


398 


69 




' 173 


2057 


48 


2689 


37 




7 




129 


3353 


7 


457 


69 


229 


174 


2009 


48 


2726 


37 


182 








' 


9 




69 










48 




36 








130 


+3344 




- 516 






1 


175 


+1961 




-2762 


-35 
34 
33 
33 

-31 




8 




131 
132 
133 
134 


3334 
3323 
3311 

3298 


-10 
11 
12 
13 


575 
634 
692 
750 


-59 
69 

68 
58 


230 


-1 


176 
177 
178 
179 


1911 
1861 
1811 
1760 


—60 
60 
60 
51 

-62 


2797 
2831 
2864 
2897 


174 


+8 




135 


+3285 


-13 


- 808 


-58 


-231 




180 


+1708 


-2928 


-166 1 





44 



TABLE lY.— Continued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT IV. 






Arg. 




Diff. 


V 


Diff. 


S' 


Diff. 


Arg. 


5' 


Diff. 


v 


Diff. 


r 


Diff. 




o 

180 
181 

182 


+1708 
1656 
1604 


-62 
52 


-2928 
2958 
2988 


-so 

30 


-166 


+ 9 


o 

225 
226 
227 


- 887 

944 

1001 


-67 
67 


-3297 
3281 
3264 


+16 
17 


+ 1 


+ 2 




183 


1551 


63 


3017 


29 


157 




228 


1057 


66 


3246 


18 


13 






184 
185 


1497 
1443 


54 

54 


3044 
3071 


27 
27 




10 


229 
230 


1113 
1169 


66 
56 


3227 
3207 


19 

20 




12 




186 

187 

188 


1389 
1334 

1278 


54 
58 
56 


3097 
3122 
3146 


26 
25 

24 


147 


9 


231 

232 
233 


1224 
1279 
1334 


65 
65 
55 


3186 
3164 
3141 


21 

22 
23 


25 


13 




189 


1223 


55 
66 


3169 


23 
21 


138 




234 


1388 


54 
54 


3117 


24 
25 


38 






190 
191 


+1167 
1110 


-67 


-3190 
3211 


-21 




10 


235 
236 


-1442 
1495 


-53 


-3092 
3066 


+26 




12 




192 


1053 


57 


3231 


20 


128 




237 


1547 


52 


3039 


27 


50 






193 
194 


996 
939 


67 
67 


3250 
3268 


19 
18 




11 


238 
239 


1599 
1651 


52 

62 


3011 
2983 


28 
28 




12 




195 


881 


58 


3285 


17 


117 




240 


1702 


51 


2953 


30 


62 






196 
197 


823 
765 


58 
68 


3301 
3315 


16 
U 






241 
242 


1752 

1802 


60 
50 


2922 

2891 


31 
31 




12 




198 


707 


58 


3329 


14 


106 




243 


1852 


SO 


28.59 


32 


74 






199 


648 


69 
59 


3342 


13 
11 




11 


244 


1901 


49 
48 


2826 


33 
34 




11 




200 
201 


+ 589 
530 


-59 


-3353 
3364 


-11 


95 




245 
246 


-1949 
1996 


-47 


-2792 
2757 


+35 


85 






202 
203 


471 
412 


69 
59 


3373 
3382 


9 
9 




11 


247 

248 


2043 
2090 


47 
47 


2721 
2684 


36 
37 




12 




204 


352 


60 


3389 


7 


84 




249 


2135 


45 


2647 


Kl 


97 






205 


293 


59 


3395 


6 






250 


2180 


45 


2609 


38 








206 


233 


60 


3401 


6 




12 


251 


2224 


44 


2570 


39 




11 




207 


174 


69 


3405 


4 


72 




252 


2268 


44 


2530 


40 


108 






208 


114 


60 


3408 


3 






253 


2311 


43 


2489 


41 








209 


+ 54 


60 
59 


3410 


2 
- 1 




11 


254 


2353 


42 
41 


2448 


41 
42 




11 




210 
211 
212 


- 5 

65 

125 


-60 
60 


-3411 
3410 
•3409 


+ 1 
1 


61 


12 


255 
256 
257 


-2394 
2434 
2474 


-40 
40 


■ -2406 
2363 
2319 


+43 
44 


119 


10 




213 


184 


59 


3407 


2 


49 




258 


2513 


39 


2275 


44 


129 






214- 


244 


60 


3404 


3 






259 


2551 


38 


2230 


45 








215 


303 


69 


3399 


5 




13 


260 


2589 


33 


2185 


45 




10 




216 


362 


59 


3394 


6 


36, 




261 


2626 


37 


2139 


46 


139 






2J7 
218 


421 

480 


59 
59 


3387 
3380 


7 
7 




12 


262 
263 


2661 
2696 


35 
35 


2092 
2044 


47 
48 




10 




219 


539 


69 
59 


3371 


9 
10 


34 




264 


2730 


34 
34 


1996 


48 
48 


149 






220 
221 


- 598 
656 


-58 


-3361 
3350 


+11 




12 


265 
266 


-2764 
2796 


-32 


-1948 
1899 


+49 




9 




222 
223 
224 
225 


714 

772 
830 

- 887 


68 

58 

68 

-57 


3339 

3326 

3312 

-3297 


11 
13 

14 
+15 


- 12 

+ 1 


+13 


267 
268 
269 

270 


2828 

2858 

2888 

-2917 


33 

30 

30 

-29 


1849 

1799 

1748 

-1696 


60 

60 

51 

+52 


158 
+167 


+ 9 





45, 



TABLE lY.— Cord'imed. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OE THE SIXTH DECIMAL. 




ARGUMENT IV. 






Arg. 


," 


Diff. 


v.- 


DifF. 


S' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff. 


r 


Diff. 




o 
270 


-2917 




-1696 




+167 




o 

315 


-3220 




+ 862 




+232 






271 


2945 


-28 


1644 


+52 






316 


3204 


+16 


918 


+66 








272 


2972 


27 


1592 


52 




+ 8 


317 


3187 


17 


974 


56 









273 


2998 


26 


1539 


53 


175 




318 


3169 


18 


1030 


66 


232 






274 


3024 


26 


1486 


53 






319 


3150 


19 


1085 


55 








275 


3048 


24 


14.S3 


53 




^ 320 1 


3131 


19 


1139 


54 




- 2 




276 


3071 


23 


1379 


54 


183 




321 


3110 


21 


1194 


55 


230 






277 


3094 


23 


1324 


65 






322 


3089 


21 


1248 


54 








278 


3115 


21 


1269 


55 




8 


323 


3066 


23 


1301 


63 




2 




279 


3136 


21 
19 


1214 


55 
56 


191 




324 


3043 


23 
24 


1354 


63 
63 


228 






280 


-3155 




-1158 






7 


325 


-3019 




+1407 






2 




281 


3174 


-19 


1102 


+56 






326 


2994 


+26 


1459 


+62 








282 


3192 


IS 


1046 


56 


198 




327 


2968 


26 


1511 


62 


226 






283 


3208 


16 


990 


56 






328 


2941 


27 


1563 


62 








284 


3224 


16 


933 


57 




6 


329 


2914 


27 


1614 


61 




3 




285 


3239 


19 


876 


57 


204 




330 


2885 


29 


1664 


50 


223 






286 


3253 


14 


819 


57 






331 


2856 


29 


1714 


60 








287 


3265 


12 


762 


57 




5 


332 


2826 


30 


1763 


49 




4 




288 


3277 


12 


704 


58 


209 




333 


2795 


31 


1812 


49 


219 






289 


3288 


11 

10 


646 


58 
58 




5 


334 


2763 


32 
33 


1860 


48 
48 




6 




290 


-3298 




- 588 








335 


-2730 




+1908 ■ 










291 


3307 


- 9 


530 


+68 


214 




336 


2697 


+S3 


1955 


+47 


214 






292 


3314 


7 


472 


53 






337 


2663 


34 


2001 


46 








293 


3321 


7 


414 


58 




6 


338 


2628 


36 


2047 


46 




6 




294 


3327 


6 


355 


59 


219 




339 


2592 


36 


2092 


45 


209 






295 


3332 


S 


297 


58 






340 


2555 


37 


2137 


45 








296 


3336 


4 


238 


59 




4 


341 


2518 


37 


2181 


44 




6 




297 


3338 


2 


179 


59 


223 




342 


2480 


38 


2224 


43 


204 






298 


3340 


2 


121 


58 






343 


2441 


39 


2267 


43 








299 


3341 


- 1 



62 


59 

68 




3 


344 


2402 


39 
41 


2309 


42 
41 




6 




300 
301 


-3341 
3340 


+ 1 


- 4 
+ 55 


+59 


226 




345 

346 


-2361 
2320 


+41 


+2350 
2390 


+40 


198 






302 


3338 


2 


114 


59 




2 


347 


2279 


41 


2430 


40 




7 




303 


3334 


4 


172 


58 


228 




348 


2237 


42 


2469 


39 


191 






304 


3330 


4 


231 


69 






349 


2194 


43 


2508 


39 








305 


3325 


5 


289 


68 




2 


350 


2150 


44 


2545 


37 




7 




306 
307 
308 
309 


3319 
3312 
3304 
3295 


6 

7 
8 
9 

11 


347 
405 
463 
521 


68 
68 
58 
68 

67 


230 
232 


+ 2 


351 
352 
353 
354 


2106 
2061 
2016 
1970 


44 
45 
46 
46 

47 


2582 
2618 
2654 

2688 


37 
36 
36 
34 

34 


184 

177 


7 




310 
311 
312 


-3284 

* 3273 

3261 


+11 
12 


+ 578 ■ 
635 
692 


+57 
57 


232 





355 
356 
357 


-1923 
1876 

1828 


+47 
48 


+2722 
2755 

2787 


+33 
32 


169 


8 




313 
314 
315 


3248 

3234 

-3220 


13 

14 

+14 


749 

806 

+ 862 


57 

57 

+56 


+232 





358 
359 
360 


1780 

1731 

-1662 


48 

49 

+49 


2818 

2848 

+2878 


31 

30 
+30 


+160 


- 9 





46 



TABLE IV. Coitiimed. 








PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT V. 








Arg. 


S' 


Diff. 


V 


Diff. 


r 


Diff. 


Arg. 


S' 


Diff. 


V 


Diff. 


r 


Diff. 







1 


+1204 
1190 


-14 


+ 758 
779 


+21 


-2 




n 

45 
46 


+304 
279 


-25 


+1374 
1379 


+ 5 


-1 






2 


1176 


14 


799 


20 






47 


255 


24 


1384 


6 








3 


1161 


IS 


819 


20 


2 




48 


230 


25 


1383 


4 








4 


1147 


14 


839 


20 






49 


206 


24 


1392 


4 








5 


1132 


15 


859 


20 






50 


181 


25 


1395 


3 








6 


1116 


16 


878 


19 


2 




51 


156 


25 


1398 


„ 
3 








7 


1100 


16 


897 


19 






52 


131 


25 


1401 


3 








8 


1084 


16 


916 


19 






53 


106 


25 


1403 


2 








9 


1068 


16 
17 


934 


13 
13 


2 




54 


81 


25 
25 


1404 










10 
11 


+1051 
1034 


-17 


+ 952 
970 


+18 






55 
56 


+ 56 
31 


-25 


+1405 
1406 


+ 1 
+ 1 








12 


1017 


17 


988 


18 


2 




57 


+ 6 


26 


1407 








13 
14 


999 
981 


18 
IS 


1005 
1022 


17 
17 






58 
59 


- 19 
44 


25 
25 


1407 
1406 


- 1 








15 


963 


13 


1039 


17 


2 




60 


69 


25 


1405 










16 


944 


19 


1056 


17 






61 


94 


25 


1404 










17 


925 


19 


1072 


16 






62 


119 


25 


1402 


2 








18 


906 


19 


1087 


15 






63 


144 


25 


1400 


2 








19 


886 


20 
19 


1103 


16 

15 






64 


169 


25 
26 


1397 


3 
3 








20 
21 


+ 867 

847 


—20 


+1118 
1133 


+ 15 






65 
66 


-194 

218 


-24 


+1394 
1391 


- 3 








22 


826 


21 


1147 


14 






67 


243 


25 


1387 


4 








23 


806 


20 


1161 


14 






68 


268 


25 


1382 


5 








24 


785 


21 


1175 


14 




69 


292 


24 


1377 


5 


-1 






25 
26 


764 
743 


21 
21 


1188 
1201 


13 
13 




70 
71 


317 
341 


25 
24 


1372 
1367 


6 
5 








27 


721 


22 


1214 


13 




72 


365 


24 


1361 


6 









28 


700 


21 


1226 


12 






73 389 


24 


1354 


7 








29 


678 


22 
22 


1238 


12 
11 






74 413 


24 
24 


1347 


7 
7 








30 
31 


+ 656 
634 


-22 


+1249 
1260 


+11 






75 -437 

76 461 


-24 


+1340 
1333 


- 7 









32 


611 


23 


1271 


11 






77 485 


24 


1325 


8 








33 
34 


588 
565 


23 
23 


1231 
1291 


10 
10 






78 508 
70 531 


23 
23 


1316 
1307 


9 
9 









35 


542 


23 


1301 


10 






80 555 


24 


1298 


9 








36 


519 


23 


1310 


9 






81 578 


23 


1288 


10 









37 


496 


23 


1319 


9 






82 


600 


22 


1278 


10 








38 


472 


24 


1327 


8 






83 


623 


23 


1268 


10 








39 


448 


24 
23 


1335 


3 
8 






84 


645 


22 
23 


1257 


11 
12 









40 
41 


+ 425 
401 


-24 


+1343 
1350 


+ 7 






85 
86 


-668 
600 


-22 


+1245 
1233 


-12 








42 


377 


24 


1356 


6 






87 


712 


22 


1221 


12 









43 
44 
45 


353 

328 

+ 304 


24 

25 

-24 


1363 

1369 

+1374 


7 
6 

+ 


-1 




88 
89 
90 


733 

755 

-776 


21 

22 

-21 


1209 
1197 

+1184 


12 

12 

-13 










47 





TABLE IV. — Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF 


THE SIXTH DECIMAL. 






ARGUMENT V. 




Arg. 


5' 


Difif. 


V 


Diff. 


ff 


Diff. 


Arg. 


1' 


Diff. 


V 


Diff J' 


Diff 


o 

90 
91 


- 776 

797 


-21 


+1184 
1170 


-14 







o 
135 

136 


-1399 
1404 


- 5 


+297 
273 


-24 


+1 




92 


817 


20 


1156 


14 






137 


1409 


6 


249 


24 






93 


838 


21 


1142 


14 







138 


1413 


4 


225 


24 






94 
95 


858 
876 


20 
20 


1128 
1113 


14 
15 






139 
140 


1417 
1420 


4 
3 


201 
176 


24 
26 






96 


897 


19 


1097 


IG 







141 


1423 


3 


152 


24 






97 


917 


20 


1082 


15 






142 


1426 


3 


127 


25 






98 


936 


19 


1066 


16 






143 


1428 


2 


103 


24 






99 


955 


19 

18 


1050 


16 

n 







144 


1429 


1 

1 


78 


25 
24 






i 100 
101 


- 973 
991 


-18 


+1033 
1016 


-17 






145 
146 


-1430 
1431 


- 1 


+ 54 
29 


-25 






102 


1009 


18 


999 


17 







147 


1431 





+ 5 


24 






103 


1027 


18 


982 


17 






148 


1431 





- 20 


25 






104 


1044 


17 


964 


18 






149 


1430 


+ 1 


44 


24 






105 


1061 


17 


946 


18 







150 


1429 


1 


69 


25 






106 


1078 


17 


928 


18 






151 


1428 


1 


93 


24 






107 


1094 


16 


909 


19 






152 


1426 


2 


118 


25 






108 


1110 


16 


890 


19 







153 


1424 


2 


142 


24 






109 


1126 


10 
15 


871 


19 
20 






154 


1421 


3 
3 


167 


25 

24 






110 
•111 


-1141 
1156 


-15 


+ 851 
832 


-19 


+1 




155 
156 


-1418 
1414 


+ 4 


-191 
215 


-24 






112 
113 


1170 
1185 


U 

15 


812 
791 


ao 

21 






157 

158 


1410 
1405 


4 
6 


240 
264 


25 

24 






114 


1199 


14 


771 


20 






159 


1400 


5 


288 


24 






115 


1212 


13 


750 


21 






160 


1395 


5 


312 


24 






116 


1225 


13 


729 


21 






161 


1389 


6 


336 


24 






117 


1238 


13 


708 


21 






162 


1383 


6 


360 


24 






118 


1250 


12 


687 


21 






163 


1376 


7 


383 


23 






119 


1262 


13 
1-2 


665 


22 
21 






164 


1369 


7 
7 


407 


24 
33 






120 
121 


-1274 
1235 


-11 


+ 644 
622 


-22 






165 
166 


-1362 
1354 


+ 8 


-430 
453 


-23 






122 


1296 


11 


599 


23 






167 


1346 


8 


477 


24 
23 






123 


1306 


10 


577 


22 






168 


1337 


9 


500 


2 




124 


1316 


10 


555 


22 






169 


1328 


9 


522 


22 






125 
126 
127 

128 
129 


1326 
1335 
1344 
1352 
1360 


10 
9 
9 
8 
8 

8 


532 
509 
486 
463 

440 


23 
23 
23 
23 
23 

24 






170 
171 
172 
173 
174 


1318 
1308 
1298 
1287 
1276 


10 
10 
10 

11 
11 

11 


545 
568 
590 
612 
634 


23 
23 
22 
22 
22 

22 


2 
2 




130 
131 


-1363 
1375 


- 7 


+ 416 
393 


-23 






175 
176 


-1265 
1253 


+12 


-656 
677 


-21 
23 
21 
21 

-21 






132 
133 
134 
135 


1382 

1388 

1394 

-1399 


7 
6 


— 5 


369 
345 
321 

+ 297 


24 

24 

24 

-24 


+1 


• 


177 

178 
179 
180 


1241 

1228 

1215 

-1202 


12' 

13 

13 

+13 


699 

720 

741 

-762 


2 

+2 


i 



48 





TABLE IV. Continued. 








PERTURBATIONS OF 


THE 


CO-ORDINATES IN UNITS OF 


THE SIXTH DECIMAL. 








ARGUMENT V. 








Arg. 


1' 


Diflf. 


n' 


Diff. 


r 


Diff. 


Arg. 


1' 


Diff. 


V 


Diff. 


r • 


Diff 




o 

180 
181 


-1202 

1188 


+14 


- 762 

782 


-20 


+2 




o 

225 
226 


-301 
277 


+24 


-1372 
1377 


- 6 


+1 






182 


1174 


14 


802 


20 






227 


252 


25 


1382 


5 








183 


1159 


13 


822 


20 


2 


228 


228 


24 


1386 


4 








184 


1144 


13 


842 


20 




229 


203 


23 


1389 


3 








185 


1129 


13 


862 


20 






230 


178 


26 


1392 


3 








186 


1114 


13 


881 


19 


2 




231 


154 


24 


1395 


3 








187 


1098 


16 


900 


19 






232 


129 


25 


1398 


3 








188 


1082 


IG 


918 


18 






233 


104 


25 


1400 


2 








189 


1065 


17 

n 


937 


19 
18 


2 




234 


79 


25 
26 


1402 


2 
1 








190 


-1048 




- 955 








235 


- 54 




-1403 










191 
192 


1031 
1014 


+17 
17 


973 
990 


-18 
17 


2 




236 
237 


29 
- 4 


+25 
25 


1403 
1404 



-1 








193 


996 


18 


1007 


17 






238 


+ 21 


25 


1404 











194 


973 


18 


1024 


17 






239 


46 


26 


1403 


+ 1 








195 
196 


959 
941 


19 

18 


1041 
1057 


17 
16 


2 




240 
241 


70 
95 


24 
25 


1402 
1401 


1 

1 








197 


922 


19 


1073 


16 






242 


120 


25 


1399 


2 








193 


903 


19 


1089 


16 






243 


145 


25 


1396 


3 








199 


883 


20 
20 


1104 


13 
15 






244 


170 


25 

24 


1394 


2 
3 








2D0 
201 

202 


- 863 
843 
823 


+20 
20 


-1119 
1134 
1148 


-15 
14 






245 
246 
247 


+194 
219 
244 


+25 
25 


-1391 

1387 
1383 


+ 4 
4 


-. 






203 


803 


20 


1162 


14 






248 


268 


24 


1379 


4 








204 


782 


21 


1175 


13 






249 


292 


24 


1374 


5 








205 


761 


21 


1188 


13 






250 


317 


25 


1369 


5 








206 


740 


21 


1201 


13 






251 


341 


24 


1363 


6 








207 


718 


22 


1214 


13 






252 


365 


24 


1357 


6 


+1 






208 


696 


22 


1236 


12 






253 


389 


24 


1351 


G 








209 


674 


22 
22 


1238 


12 
11 






254 


413 


24 
24 


1344 


7 
8 








210 
211 


- 652 
630 


+22 


-1249 
1260 


-11 






255 
256 


+437 
461 


+24 


-1336 
1329 


+ 7 









212 


608 


22 


1271 


11 






257 


484 


23 


1321 


8 








213 


585 


23 


1281 


10 






258 


508 


24 


1312 


9 









214 


562 


23 


1291 


10 






259 


531 


23 


1303 


9 








215 


539 


23 


1300 


9 






260 


554 


23 


1294 


9 








216 


516 


23 


1309 


9 






261 


577 


23 


1284 


10 









217 


492 


24 


1318 


9 






262 


599 


22 


1274 


10 








218 


469 


23 


1326 


8 






263 


622 


23 


1264 


10 








219 


445 


24 
23 


1334 


8 
7 






264 


644 


22 
22 


1253 


11 
11 









220 
221 


- 422 

398 


+24 


-1341 

1348 


- 7 






265 
266 


+666 

688 


+22 


-1242 
1230 


+12 








222 


374 


24 


1355 


7 






267 


710 


22 


1218 


12 









223 


350 


24 


1361 


6 






268 


731 


21 


1206 


12 








224 
225 


325 
- 301 


23 
+24 


1367 
-1372 


6 
- 5 


+1 




269 

2?0 


753 

+774 


22 
+21 


1193 
-1180 


13 

+13 










49 



TABLE IV. Contmued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT V. 


Arg. 


r 


Diff. 


V 


Diflf. 


r 


Diff. 


Arg. 


S' 


Diff. 


V 


Diff. 


r 


Diff. 


o 

270 


+ 774 




-1180 







• 


o 
315 


+1397 




-299 




_] 




271 


795 


+21 


1167 


+ 13 






316 


1402 


+ 6 


275 


+24 






272 


815 


20 


1153 


14 






317 


1406 


6 


251 


24 






273 


835 


20 


1139 


14 







318 


1411 


6 


227 


24 






274 


855 


20 


1125 


14 






319 


1415 


4 


203 


24 






275 


875 


20 


1110 


15 






320 


1418 


3 


179 


24 






276 


895 


20 


1095 


15 







321 


1421 


3 


154 


25 






277 


914 


19 


1079 


16 






322 


1423 


2 


130 


24 






278 


933 


19 


1063 


IG 






323 


1425 


2 


106 


24 






279 


952 


19 
18 


1047 


16 
16 







324 


1427 


2 


81 


25 
24 






280 
281 


+ 970 

988 


+18 


-1031 
1014 


+17 






325 
326 


+1428 
1429 


+ 1 


- 57 
32 


+25 






232 


1006 


18 


997 


17 







327 


1430 


+ 1 


- 8 


24 






283 

284 


1024 
1041 


18 
17 


980 
962 


17 
18 






328 
329 


1430 
1429 


- 1 


+ 17 
41 


25 
24 






285 


1058 


17 


944 


18 







330 


1428 




66 


26 






286 


1075 


17 


926 


18 






331 


1427 




90 


24 






287 


1091 


16 


907 


19 






332 


1425 


2 


114 


24 






288 


1107 


16 


889 


18 


-1 




333 


1423 


2 


139 


25 






289 


1122 


IS 

16 


870 


19 

20 






334 


1420 


3 
3 


163 


24 

25 






290 
291. 


+1138 
1153 


+18 


- 850 
831 


+19 






335 
336 


+1417 
1413 


- 4 


+188 
212 


+24 






292 


1167 


14 


811 


20 






337 


1409 


4 


236 


24 






293 


1181 


14 


791 


20 






338 


1405 


4 


260 


24 






294 


1195 


14 


770 


21 






339 


1400 


5 


284 


24 






295 


1209 


14 


750 


20 






340 


1395 


e 


308 


24 






296 

297 

298 


1232 
1234 
1247 


13 
12 
13 


729 

708 
687 


21 
21 
21 






341 
342 
343 


1389 
1383 
1377 


6 
6 
6 


332 
356 
379 


24 
24 
23 






299 


1259 


12 
11 


665 


22 
21 






344 


1370 


7 
8 


403 


24 
23 






300 
301 


+1270 
1282 


+12 


- 644 
622 


+22 






345 
346 


+1362 
1354 


- 8 


+426 
450 


+24 






302 


1293 


11 


600 


22 






347 


1346 


8 


473 


23 






303 


1303 


10 


578 


23 






348 


1338 


8 


496 


23 


2 




304 


1313 


10 


555 


23 




349 


1329 


9 


519 


23 






305 


1323 


10 


533 


22 




350 


1319 


10 


541 


22 






306 
307 
308 


1.132 
1341 
1349 


9 
9 

8 


510 

487 
464 


23 
23 
23 






351 
352 
353 


1309 
1299 
1289 


10 
10 
10 


564 
586 
609 


23 
22 
23 


2 




309 


1357 


8 


441 


23 J 




354 


1278 


11 


631 


22 


2 








8 




23 










12 




21 






310 
311 


+1365 
1372 


+ 7 


- 418 
394 


+24 






355 
356 


+1266 
1254 


-12 


+652 
674 


+22 






312 


1379 


7 


371 


23 


1 




357 


1242 


12 


695 


. 21 


2 




313 
314 
315 


1385 

1391 

+1397 


G 

6 

+ 6 


347 

323 

-299 


24 

24 

+24 


-1 


358 
359 
360 


1230 

1217 

+1204 


12 

13 

-13 


717 
738 

+758 


22 

21 

+20 


-2 





50 











TABLE IV.— Continued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












ARGUMENT VI. 






Arg. 


? 


Diff. 


V 


Diff. 


S' 


Diff. 


Arg. 


s" 


Diff 


V 


Diff. 


?' 


Diff. 








1 


+1041 
1047 


+ 6 


-143 
120 


+23 


-505 
496 


+ 9 




45 
46 


+1010 
1002 


- 8 


+ 856 
874 


+18 


+ 14 
26 


+12 




2 


1053 


6 


97 


23 


486 


10 


47 


993 


9 


893 


19 


39 


13 




3 


1059 


6 


74 


23 


477 


9 


48 


984 


9 


911 


18 


51 


12 




4 


1065 


6 


51 


23 


467 


10 


49 


975 


9 


929 


18 


64 


13 




5 
6 

7 
8 
9 


1070 
1075 
1079 
1083 

1087 


5 
5 
4 
4 

4 

4 


27 

- 4 

+ 19 

43 

66 


24 
23 
23 
24 
23 

24 


457 
447 
437 
426 
416 


10 
10 
10 
11 
10 

11 


50 
51 
52 
53 
54 


966 
956 
946 
936 
925 


9 
10 
10 
10 
11 

11 


947 
S64 
981 
998 
1015 


18 
17 
17 
17 
17 

16 


76 

89 

101 

114 

126 


12 
13 
12 
13 
12 

12 




10 
11 
12 


+1091 
1094 
1097 


+ 3 
3 


+ 90 
113 
136 


+23 
23 


-405 
395 
384 


+10 

11 


55 
56 
57 


+ 914 
903 

892 


-11 
11 


+1031 
1047 
1063 


+ 16 
16 


+138 
150 
163 


+ 12 
13 




13 
14 
15 
16 


1100 
1102 
1104 
1106 


3 

2 
2 
3 


160 
183 
206 
230 


24 
23 
23 
24 


373 
362 
351 
340 


11 
11 
11 
11 


58 
59 
60 
61 


880 
868 
856 
843 


12 
12 
12 
13 


1078 
1093 
1107 
1122 


15 
15 
14 
16 


175 

187 
199 
211 


12 
12 
12 
12 




17 


1107 


1 


253 


23 


328 


12 


62 


830 


13 


1136 


14 


223 


12 




18 


1108 


1 


276 


23 


317 


11 


63 


817 


13 


1149 


13 


235 


12 




19 


1109 


+ 1 



299 


23 
23 


336 


11 
12 


64 


804 


13 
13 


1162 


13 
13 


247 


12 

n 




20 
21 


+1109 
1109 





+322 
345 


+23 


-294 
282 


+12 


65 
66 


+ 791 

777 


-14 


+1175 

1186 


+13 


+258 
270 


+ 12 




22 
23 


1109 
1108 




- 1 


368 
391 


23 
23 


270 
259 


12 
11 


67 
68 


763 

748 


14 
15 


1200 
1212 


12 
12 


281 
293 


11 
12 




24 


1107 


1 


414 


23 


247 


12 


69 


734 


14 


1223 


11 


304 


11 




25 

26 


1106 
1104 


I 

2 


436 
459 


23 
23 


235 
223 


12 
12 


70 
71 


719 

704 


15 
15 


1234 
1245 


11 
11 


315 
327 


11 

12 




27 


1102 


2 


481 


22 


211 


12 


72 


688 


16 


1255 


10 


338 


11 




28 


1100 


2 


503 


22 


198 


13 


73 


673 


15 


1265 


10 


349 


11 




29 


1097 


3 
3 


525 


22 
22 


186 


12 
12 


74 


657 


16 
16 


1274 


9 
9 


359 


10 
11 




30 
31 
32 


+1094 
1091 

1087 


- 3 

4 


+547 
569 
591 


+22 
22 


-174 
162 
149 


+12 
13 


75 
76 

77 


+ 641 
625 
609 


-16 
16 


+1283 
1292 
1300 


+ 9 
8 


+370 
381 
391 


+11 
10 




33 


1083 


4 


612 


21 


137 


12 


78 


592 


17 


1308 


8 


402 


11 




34 


1079 


4 


634 


22 


125 


12 


79 


575 


17 


1315 


7 


412 


10 




35 


1074 


5 


655 


21 


112 


13 


80 


558 


17 


1322 


7 


422 


10 




36 


1069 


5 


676 


21 


100 


12 


81 


541 


17 


1328 


6 


432 


10 




37 


1061 


5 


697 


21 


87 


13 


82 


524 


17 


1334 


6 


442 


10 




38 


1058 


6 


717 


20 


74 


13 


83 


507 


17 


1340 


e 


452 


10 




39 


1052 


6 
6 


738 


21 
20 


62 


12 
13 


84 


489 


18 
18 


1345 


5 
5 


461 


9 
10 




40 
41 
42 
43 


+1046 
1039 
1032 
1025 


- 7 
7 
7 


+758 
778 
798 
817 


+20 
20 
19 


- 49 
37 
24 

- 12 


+12 
13 
12 


85 
86 
87 
88 


+ 471 
453 
435 
417 


-18 
IS 
IS 


+1350 
1355 
1359 
1362 


+ 6 
4 
3 


+471 
480 
489 
498 


+ 9 
9 
9 




44 
45 


1018 
+1010 


7 

- 8 


837 
+856 


20 
+19 


+ 1 
+ 14 


13 

+13 


89 
90 


399 

+ 380 


18 
-19 


1365 
+1368 


3 
+ 3 


507 
+516 


9 
+ 9 





51 











TABLE lY.— Continued. 


PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. | 










ARGUMENT VI. j 


Arg. 


t' 


Diff. 


''' 


DiflF. 


£' 


DifF. Arg. 


4' 


DifF. 


V 


Diff. 


S' 


Diff. 


o 

90 


+380 




+1368 




+516 




o 

135 


- 492 




+1042 




+720 




91 


361 


-19 


1370 


+ 2 


,525 


+ 9 


136 


510 


-18 


1025 


-17 


719 


- 1 


92 


343 


18 


1372 


2 


533 


8 


137 


528 


18 


1009 


16 


719 





93 


324 


19 


1373 


1 


541 


8 


138 


546 


18 


992 


17 


718 


1 


94 


305 


19 


1374 


+ 1 


549 


8 


139 


563 


17 


975 


17 


718 





95 


286 


19 


1374 





557 


8 


140 


580 


17 


958 


17 


717 


1 


96 


266 


20 


1374 





565 


8 


141 


597 


17 


940 


18 


716 


1 


97 


247 


19 


1374 





573 


8 


142 


614 


17 


922 


18 


714 


2 


98 


228 


19 


1373 


- 1 


580 


7 


143 


631 


17 


904 


18 


713 


1 


99 


203 


30 
19 


1371 


3 
3 


587 


7 
7 


144 


648 


17 
16 


885 


19 
19 


711 


2 
2 


100 


+189 




+1369 




+594 




145 


- 664 




+ 866 




+709 




101 


169 


-20 


1367 


- 2 


601 


+ ' 146 


680 


-16 


847 


-19 


7C6 


- 3 


102 


150 


19 


1365 


2 


608 


^ 147 


696 


16 


828 


19 


704 


2 


103 


130 


20 


1362 


3 


615 


'' 148 


711 


15 


808 


20 


701 


3 


104 


110 


20 


1358 


4 


621 


^ 149 


727 


16 


788 


20 


698 


3 


105 


90 


20 


1354 


4 


627 


® 150 


742 


15 


768 


20 


695 


3 


106 


70 


20 


1350 


4 


633 


« 151 


757 


15 


748 


20 


692 


3 


107 


50 


20 


1345 


S 


639 


^ 152 


772 


15 


727 


21 


688 


4 


108 


31 


19 


1339 


6 


644 


^ 153 


786 


14 


706 


21 


684 


4 


109 


+ 11 


20 
20 


1333 


6 
6 


650 


" 154 
s 


800 


14 
14 


685 


21 
21 


680 


4 

4 


110 


- 9 




+1327 




+655 


155 


- 814 




+ 664 




+676 




111 


29 


-20 


1321 


- 6 


660 


+ « 156 


828 


-14 


643 


-21 


672 


- 4 


112 


49 


20 


1314 


7 


665 


' 157 


841 


13 


621 


22 


667 


5 


113 


69 


20 


1306 


8 


670 


* 158 


855 


14 


599 


22 


663 


4 


114 


89 


20 


1298 


8 


674 


4 


159 


868 


13 


577 


23 


658 


5 


115 


109 


20 


1290 


8 


678 


4 


160 


880 


12 


555 


33 


653 


5 


116 


129 


20 


1281 


9 


682 


4 


161 


892 


12 


533 


33 


647 


6 


117 


149 


20 


1272 


9 


686 


* 162 


904 


12 


511 


33 


642 


5 


118 


168 


19 


1263 


9 


690 


4 


163 


916 


12 


488 


33 


636 


6 


119 


188 


20 
20 


1253 


10 
11 


693 


3 

4 


164 


928 


12 
11 


466 


33 
23 


630 


6 
6 


120 


-208 




+1242 




+697 




165 


- 939 




+ 443 




+624 




121 


227 


-19 


1232 


-10 


700 


+ 3 


166 


950 


-11 


420 


—23 
23 
23 
24 
23 
33 
24 
23 
24 


617 


— 7 
6 
7 
7 
7 
7 
7 
8 
8 


122 


247 


20 


1221 


11 


702 


3 


167 


960 


10 


397 


611 


123 


267 


20 


1209 


12 


705 


3 


168 


971 


11 


374 


604 


124 


286 


19 


1197 


12 


707 


3 


169 


981 


10 


350 


597 


125 


305 


19 


1185 


12 


710 


3 


170 


990 


9 


327 


590 


126 


325 


20 


1172 


13 


712 


2 


171 


1000 


10 


304 


583 


127 


344 


19 


1159 


13 


713 




172 


1009 


9 


280 


576 


128 
129 


363 
381 


19 

18 


1146 
1132 


13 
14 


715 
716 




173 

174 


1018 
1026 


9 

8 


257 
233 


568 
560 






19 




14 










8 




23 




8 


130 
131 


-400 
419 


-19 


+1118 
1103 


-15 


+717 
718 


+ 1 


175 
176 


-1034 
1042 


- 8 
7 
7 
7 

- 6 


+ 210 
186 


-24 
24 
24 
23 

-24 


+552 
544 


- 8 
8 
8 
9 

- 9 \ 


132 


437 


18 


1088 


18 


719 




177 


1049 


162 


536 


133 
134 
135 


456 

474 

-492 


19 

18 
-18 


1073 

1058 

+1042 


IS 

IS 

-16 


719 

720 

+720 




+ 1 




178 
179 
180 


1056 

1063 

-1069 


138 

115 

+ 91 


528 

519 

+510 



52 



TABLE IV. Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT VI. 




Arg. 


1' 


Diff. 


n' 


Diff. 


S' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff. 


r 


Diff. 






180 


-1069 




+ 91 




+510 




O 

225 


-1000 




-876 




- 2 






ISl 


1075 


- 6 


67 


-24 


501 


- 9 


226 


991 


+ 9 


893 


-n 


15 


-13 




182 


1081 


6 


43 


24 


492 


9 


227 


981 


10 


910 


17 


28 


13 




183 


1086 


6 


+ 20 


23 


483 


9 


228 


971 


10 


926 


16 


40 


12 




184 


1091 


6 


- 4 


24 


473 


10 


229 


961 


10 


942 


16 


53 


13 




185 


1096 


5 


28 


24 


464 


9 


230 


951 


10 


958 


16 


66 


13 




186 


1100 


4 


52 


24 


454 


10 


231 


941 


10 


974 


16 


78 


12 




187 


1104 


4 


75 


23 


444 


10 


232 


930 


11 


989 


15 


91 


13 




188 


llOS 


4 


99 


24 


434 


10 


233 


918 


13 


1004' 


15 


104 


13 




189 


1111 


3 
3 


122 


23 
24 


424 


10 
10 


234 


907 


11 
12 


1018 


14 
15 


117 


13 
12 




190 


-1114 




-146 




+414 




235 


-895 




-1033 




-129 






191 


1117 


- 3 


169 


-23 


404 


-10 


236 


883 


+13 


1047 


-14 


142 


-13 




192 


1119 


? 


193 


24 


393 


11 


237 


871 


13 


1C60 


13 


354 


12 




193 


1121 


3 


216 


23 


383 


10 


238 


859 


12 


1074 


14 


167 


13 




194 


1122 


1 


239 


23 


372 


11 


239 


846 


13 


1087 


13 


179 


12 




195 


1123 


1 


262 


23 


361 


11 


240 


833 


13 


1099 


12 


192 


13 




196 


1124 


1 


285 


23 


350 


11 


241 


820 


13 


1111 


12 


204 


12 




197 


1125 


- 1 


308 


23 


339 


U 


242 


807 


13 


1123 


12 


216 


12 




198 


1125 





331 


23 


328 


11 


243 


793 


14 


1135 


12 


228 


12 




199 


1125 



+ 1 


353 


22 
23 


317 


11 

12 


244 


779 


14 
14 


1146 


11 
11 


241 


13 
13 




200 


-1124 




-376 




+305 




245 


-765 




-1157 




-253 






201 


1123 


+ I 


398 


-22 


294 


-11 


246 


750 


+15 


1168 


-a 


265 


-13 




202 


1122 


1 


420 


22 


282 


12 


247 


736 


14 


1178 


10 


277 


12 




203 


1120 


2 


442 


22 


271 


11 


248 


721 


IS 


1188 


10 


288 


n 




204 


1118 


2 


464 


22 


259 


12 


249 


706 


15 


1198 


10 


300 


12 




205 


1116 


2 


486 


22 


247 


12 


250 


691 


15 


1207 


g 


312 


12 




206 


1113 


3 


507 


21 


235 


12 


251 


676 


15 


1216 


9 


324 


12 




207 


1110 


3 


520 


22 


223 


12 


252 


660 


16 


1225 


9 


335 


11 




208 


1107 


3 


550 


21 


211 


12 


253 


644 


16 


1233 


8 


346 


11 




209 


1103 


4 
4 


571 


21 
21 


199 


12 
12 


254 


628 


16 
16 


1241 


8 

7 


358 


12 
11 




210 


-1099 




-592 




+187 




255 


-612 




-1248 




-369 






211 


1095 


+ 4 


612 


-20 


174 


-13 


256 


596 


+16 


1255 


- 7 


380 


-11 




212 


1090 


5 


633 


21 


162 


12 


257 


579 


17 


1262 


7 


391 


11 




213 


1085 


5 


653 


20 


150 


12 


258 


563 


16 


1268 


6 


402 


11 




214 


1080 


6 


673 


20 


137 


13 


259 


546 


17 


1274 


6 


412 


10 




215 


1074 


6 


692 


19 


125 


12 


260 


529 


17 


1280. 


6 


423 


11 




216 


1063 


6 


712 


20 


112 


13 


261 


512 


17 


1285 


6 


433 


10 




217 


1062 


6 


731 


19 


100 


12 


262 


495 


17 


1290 


6 


444 


n 




218 


1055 


7 


750. 


19 


87 


13 


263 


477 


18 


1294 


4 


454 


10 




219 


1048 


7 
7 


769 


19 
18 


.74. 


13 
13 


264 


460 


17 

18 


1298 


4 
4 


464 


10 
10 




220 


-1041 




-787 . 




+ 62 




265 


-442 




-1302 




-474 






221 


1033 


+ 8 


806 


-19 


49 


-13 


266 


424 


+18 


1306 


- 4- 


484 


-10 




222 


1025 


8 


824 


18 


36 


13 


267 


406 


18 


1309 


3 


493 


9 




223 


1017 


8 


842 


IB 


24 


12 


268 


388 


IS 


1311 


2 


503 


10 




224 


1009 


8 


859 


17 


+ 11 


13 


269 


370 


18 


1313 


2 


512 


9 




225 


-1000 


+ 9 


-876 


-17 


- 2 


-13 


270 


-352 


+18 


-1315 


— 2 


-521 


- 9 



































53 











TABLE IV.— Continued. 












PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 












ARGUMENT VI. 












Ai^. 


1' 


Diff. 


V 


DifF. 


S' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff. 


ff 


Diff. 




o 
270 


-352 




-1315 




-521 




o 

315 


+482 




-1021 




-731 






271 


334 


+18 


1317 


.- a 


530 


- 9 


316 


499 


+17 


1007 


+ 4 


731 


+ 




272 


315 


19 


1318 


1 


539 


9 


317 


516 


17 


992 


6 


730 


I 




273 


297 


IS 


1319 


- 1 


548 


9 


318 


533 


17 


977 


S 


730 







274 


278 


19 


1319 





556 


8 


319 


549 


IS 


962 


5 


729 


1 




275 


260 


18 


1319 





564 


8 


320 


566 


17 


946 


6 


727 


2 




276 


241 


19 


1319 





572 


8 


321 


582 


16 


930 


6 


726 


1 




277 


222 


19 


1318 


+ 1 


580 


8 


322 


598 


16 


914 


6 


724 


2 




278 


204 


18 


1317 


1 


588 


8 


323 


614 


16 


898 


6 


722 


2 




279 


185 


19 
19 


1315 


2 
2 


596 


8 
7 


324 


629 


15 
16 


881 


7 
7 


720 


2 
2 




280 


-166 




-1313 




-603 




325 


+645 




-864 




-718 






261 


147 


+19 


1311 


+ 2 


611 


- 8 


326 


660 


+16 


847 


+ 7 


715 


+ 3 




282 


128 


19 


1308 


3 


618 


7 


327 


675 


13 


830 


7 


712 


3 




283 


109 


19 


1305 


3 


624 


6 


328 


690 


19 


812 


8 


709 


3 




284 


90 


19 


1302 


3 


631 


7 


329 


705 


IS 


794 


8- 


706 


3 




285 


71 . 


19 


1298 


4 


637 


6 


330 


719 


14 


776 


8 


703 


3 




286 


52 


19 


1294 


4 


644 


7 


331 


734 


15 


758 


8 


699 


4 




287 


33 


19 


1290 


4 


650 


6 


332 


748 


14 


739 


9 


695 


4 




288 


- 14 


19 


1285 


5 


655 


a 


333 


762 


14 


720 


9 


691 


4 




289 


+ 5 


19 
19 


1280 


3 
6 


661 


6 
6 


334 


775 


13 
14 


701 


9 
9 


686 


5 

4 




290 


+ 24 




-1274 




-667 




335 


+789 




-682 




-662 






291 


43 


+19 


1268 


+ 6 


672 


- 5 


336 


802 


+13 


662 


+10 


677 


+ 5 




292 


62 


19 


1262 


6 


677 


5 


337 


815 


13 


643 


9 


672 


5 




293 


81 


19 


1255 


7 


682 


S 


338 


828 


13 


623 


10 


667 


5 




294 


100 


19 


1248 


7 


686 


4 


339 


840 


12 


603 


10 


662 


6 




295 


119 


19 


1241 


7 


691 


6 


340 


652 


12 


582 


11 


656 


6 




296 


138 


19 


1233 


8 


695 


4 


341 


864 


12 


562 


10 


650 


6 




297 


157 


19 


1225 


8 


699 


4 


342 


876 


12 


541 


11 


644 


6 




298 


176 


19 


1216 


9 


702 


3 


343 


888 


12 


520 


11 


636 


6 




299 


195 


19 

18 


1207 


9 
9 


706 


4 
3 


344 


899 


11 
11 


499 


11 
11 


632 


6 




300 


+213 




-1198 




-709 




345 


+910 




-478 




-625 






301 


232 


+19 


1189 


+ 9 


712 


- 3 


346 


920 


+10 


456 


-12 


618 


+ 7 




302 


250 


18 


1179 


10 


715 


3 


347 


931 


11 


435 


11 


611 






303 


269 


19 


1169 


10 


718 


3 


348 


941 


10 


413 


12 
12 
12 
12 
12 
12 
13 


604 


S 

7 




304 


287 


18 


1158 


11 


720 


2 


349 


951 


10 


391 


597 




305 


305 


18 


1147 


11 


722 


2 


350 


961 


10 


369 


569 




306 


324 


19 


1136 


11 


724 


2 


351 


970 


9 


347 


562 




307 


342 


18 


1125 


11 


726 


2 


352 


979 


9 


325 


574 


o 




308 


360 


18 


1113 


12 


727 


1 


353 


988 


9 


303 


566 


3 




309 


378 


18 


1101 


13 


729 


2 


354 


996 


B 


280 


558 










17 




13 




1 






8 




13 




9 




310 


+395 




-1088 




-730 




355 


+1004 


+ 8 


-257 


+12 


-549 


+ 6 




311 


413 


+18 


1075 


+13 


730 





356 


1012 


8 

7 

7 

+ 7 


235 


13 


541 


9 




312 


431 


18 


1062 


13 


731 


- 1 


357 


1020 


212 


13 


532 


9 




313 


448 


17 


1049 


13 


731 





358 


1027 


169 


13 


523 


9 




3)4 


465 


17 


1035 


14 


731 





359 


1034 


166 


+13 


514 


+ 9 




315 


+482 


+17 


-1021 


+14 


-731 


— 


360 


+1041 


-143 




-505 







54 







TABLE lY. — Cmtmued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 








ARGUMENT VII. 






Arg. 


S' 


Diff. 


V 


Diff. 


S' 


DifF. 


Arg. 


r 


Diff. 


V 


Diff. 


r 


Diff. 




o 



- 300 




+ 18 




+80 






180 


+939 




+387 




-80 






5 


326 


- 26 


18 





77 


-3 


185 


885 


- 64 


491 


+ 104 


77 


+ 3 




10 


357 


31 


+ 11 


- 7 


74 


3 


190 


818 


67 


587 


96 


74 


3 




15 


390 


83 


- 4 


16 


70 


4 


195 


739 


79 


672 


85 


70 


4 




20 


424 


34 


29 


25 


65 


5 


200 


651 


88 


747 


76 


65 


6 




25 


457 


33 


63 


34 


60 


6 


205 


554 


97 


809 


62 


60 


6 




30 


487 


30 


106 


43 


55 


5 


210 


452 


102 


857 


48 


55 


5 




35 


511 


24 


157 


61 


49 


6 


215 


345 


107 


892 


35 


49 


6 




40 


528 


17 


217 


60 


43 


6 


220 


236 


109 


912 


20 


43 


6 




45 


537 


- 9 
+ 2 


283 


66 
71 


36 


7 
7 


225 


127 


109 
107 


917 


+ 6 
- 9 


36 


7 
7 




50 


- 535 




-354 




+29 




230 


+ 20 




+908 




-29 






55 


522 


+ 18 


428 


- 74 


22 


-7 


235 


- 82 


-102 


885 


- 23 


22 


+7 




60 


496 


36 


503 


75 


15 


7 


240 


178 


96 


849 


36 


15 


7 




65 


459 


37 


577 


74 


+ 7 


8 


245 


266 


88 


802 


47 


- 7 


8 




70 


409 


■60 


647 


70 





7 


250 


345 


79 


744 


68 





7 




75 


347 


62 


712 


6S 


- 7 


7 


255 


412 


67 


679 


66 


+ 7 


7 




80 


274 


73 


770 


68 


15 


8 


260 


467 


55 


607 


72 


15 


8 




85 


191 


83 


819 


49 


22 


7 


265 


510 


43 


531 


76 


22 


7 




90 


99 


92 


858 


39 


29 


7 


270 


540 


30 


453 


78 


29 


7 




95 


- 1 


9B 
103 


884 


26 
- 18 


36 


7 
7 


275 


558 


18 
- 6 


375 


78 
75 


36 


7 
7 




100 


+ 102 




-897 




-43 




280 


-563 




+300 




+43 






105 


208 


+105 


896 


+ 1 


49 


-6 


285 


558 


+ 6 


229 


- 71 


49 


+6 




110 


315 


107 


881 


15 


55 


6 


290 


542 


16 


163 


66 


55 


6 




115 


421 


106 


852 


29 


60 


6 


295 


519 


23 


106 


67 


60 


6 




120 


524 


103 


809 


43 


65 


5 


300 


489 


30 


57 


49 


65 


5 




125 


621 


97 


752 


57 


70 


5 


305 


455 


34 


+ 17 


40 


70 


6 




130 


711 


90 


682 


70 


74 


4 


310 


419 


36 


- 13 


30 


74 


4 




135 


792 


81 


601 


81 


77 


3 


315 


383 


36 


34 


21 


77 


3 




140 


863 


71 


509 


92 


80 


3 


320 


349 


34 


45 


11 


80 


3 




145 


922 


69 
46 


408 


101 
107 


82 


2 
2 


325 


318 


31 

26 


49 


- 4 
+ 3 


82 


2 
2 




150 


+ 968 




-301 




-84 




330 


-293 




- 46 




+84 






155 


1000 


+ 32 


188 


+113 


85 


-1 


335 


275 


+ 18 


37 


+ 9 


85 


+1 




160 


1017 


17 


- 72 


116 


85 





340 


264 


11 


25 


12 


85 







165 


1020 


+ 3 


+ 46 


118 


85 





345 


261 


+ 3 


- 12 


13 


85 







170 


1007 


- 13 


163 


117 


84 


+1 


350 


266 


— 5 


+ 1 


13 


84 


-1 




175 


980 


27 


277 


114 


82 


2 


355 


279 


13 


12 


11 


82 


2 




180 


+ 939 


- 41 


+387 


+110 


-80 


+2 


360 


-300 -■"' 1 


+ 18 


+ 6 


+80 1 


-2 









55 



TABLE lY. — Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 

ARGUMENT VIII. 



Arg. 



10 
]5 
20 
25 
30 
35 
40 
45 

50 
55 
60 
65 
70 
75 
80 
85 
90 
95 

100 
105 
110 
115 
120 
125 
130 
135 
140 
145 

150 
155 
160 
165 
170 
175 
180 



+ 107 
114 
123 
134 
145 
157 
168 
177 
184 
187 

+ 187 

183 

174 

160 

141 

117 

88 

55 

+ 19 

- 20 

- 60 
102 
144 
185 
224 
260 
293 
322 
346 
365 

- 379 
366 
388 
384 
374 
359 

- 340 



DiflF. 



+ 7 

9 

U 

11 

1-3 

11 

9 

7 

+ 3 



- 4 
9 
14 
19 
24 
29 
33 
3G 
39 



-42 
42 
41 
39 
35 
33 
29 
24 
19 

U 

- 7 

- 2 
+ 4 

10 

13 

+ 19 



- 13 
10 
10 
13 

20 
30 
44 
63 
84 
109 

-136 
165 
195 
224 
253 
279 
302 
321 
335 
344 

-347 
344 
335 
320 
299 
272 
241 
206 
167 
125 

- 82 

- 37 
+ 8 

52 

94 

135 

+174 



Diff. 



S' 



+ 3 

-' 3 
7 
10 
14 
19 
21 
25 

27 

- 29 
30 
29 
29 
26 
23 
19 
14 
9 



3 
9 
15 
21 
27 
31 
35 



+ 45 
45 
44 
42 
41 

+ 39 



-61 

59 
57 
54 
51 
48 
44 
40 
36 
32 

-27 
22 
16 
11 

- 5 

+ 1 

7 

13 

18 

24 

+30 
35 
40 
45 
50 
54 
58 
61 
64 
66 

+68 
69 
69 
69 
69 
68 

+66 



DiflF. 



+2 
2 



4 
4 
4 
4 

5 

+5 



Arg. 



+1 




-1 

-2 



180 
185 
190 
195 
200 
205 
210 
215 
220 
225 

230 
235 
240 
245 
250 
255 
260 
265 
270 
275 

280 
285 
290 
295 
300 
305 
310 
315 
320 
325 

330 
335 
340 
345 
350 
355 
360 



-340 
315 
287 
255 
220 
183 
145 
105 
66 

- 27 

+ U 
48 
82 
113 
141 
165 
185 
201 
213 
220 

+224 
223 
219 
211 
201 
189 
175 
162 
148 
135 

+123 
114 
107 
102 
101 
103 

+107 



DiflF. 



+25 
28 
32 
35 
37 
38 
40 
39 
39 

38 

+37 
34 
31 
29 
24 
20 
16 
12 
7 

+ 4 

- 1 

4 
8 
10 
12 
14 
13 
14 
13 

12 

- 9 
7 
6 

- 1 
+ 2 
+ 4 



+174 
209 
240 
268 
292 
311 
326 
335 
340 
340 

+336 
328 
315 
298 
278 
255 
230 
202 
174 
145 

+116 
89 
63 
39 

+ 18 


- 15 
26 
33 
37 

- 38 
■ 37 

33 
28 
22 
17 

- 13 



DiflF. 



+36 

31 

28 

24 

19 

15 

9 

+ 5 



- 4 



13 

17 
20 
23 
25 
28 
28 
29 



-27 
26 
24 
21 
18 
15 
11 
7 
4 

- 1 

+ 1 
4 
5 
6 
6 

+ 4 



+66 
63 
60 
57 
53 
49 
44 
39 
34 
28 

+23 
17 
11 

+ 5 
- 1 

7 
13 

18 
23 

28 

-33 
38 
42 
46 
50 
53 
55 
58 
60 
61 

-62 
63 
63 
63 
63 
62 

-61 



DiflF. 



1 

1 

-1 





+1 

+1 



56 





TABLE IV.— Continued. 








PERTURBATIONS OF THE CO-ORDINATES IN UNITS OP THE SIXTH DECIMAL. 






ARGUMENT IX. 








Arg. 


1' 


DiflF. 


V 


Diff. 


r 


Diffi 


Arg. 


«' 


Diff. 


V 


Diff. 


£' 


Diff. 









+183 




- 22 




+ 7 




o 
180 


-217 




- 22 




+113 






5 


184 


+ 1 


+ 5 


+27 


9 


+2 


185 


216 


+ 1 


29 


- 7 


113 







10 


181 


- 3 


31 


25 


10 


1 


190 


215 


1 


36 


7 


112 


—1 




15 


174 


7 


57 


26 


12 


2 


195 


213 


2 


44 


8 


112 







20 


164 


10 


81 


24 


15 


3 


200 


211 


2 


51 


7 


111 


1 




25 


150 


14 


104 


23 


19 


4 


205 


209 


2 


58 


7 


110 


1 




30 


134 


16 


124 


20 


24 


5 


210 


207 


2 


66 


6 


108 


3 




35 


116 


18 


142 


18 


29 


^ 215 
^ 220 


204 


3 


74 


8 


107 


1 




40. 


95 


21 


157 


15 


35 


200 


4 


62 


8 


106 


1 




45 


73 


22 
33 


169 


12 
9 


41 


6 
6 


225 


196 


4 
4 


90 


8 
9 


104 


2 
3 




50 


+ 50 




+178 




+ 47 




230 


-192 




- 99 




+102 






55 


26 


-24 


184 


+ 


53 


+6 


235 


186 


+ 6 


108 


- 9 


100 


-3 




60 


+ 2 


24 


188 


+ 4 


59 


6 


240 


180 


6 


117 


9 


98 


3 




65 


- 21 


23 


188 





64 


6 


245 


173 


7 


126 


9 


96 


2 




70 


44 


23 


186 


- 2 


70 


6 


250 


164 


9 


135 


9 


93 


3 




75 


65 


21 


182 


4 


75 


6 


255 


155 


9 


145 


10 


90 


3 




80 


85 


20 


176 


6 


80 


S 


260 


144 


11 


154 


9 


87 


3 




85 


104 


19 


168 


8 


85 


6 


265 


132 


12 


163 


9 


84 


3 




90 


121 


17 


159 


9 


89 


4 


270 


119 


IS 


172 


9 


80 


4 




95 


137 


16 
14 


149 


10 
11 


92 


3 

4 


275 


104 


15 
16 


180 


8 
7 


76 


4 

a 




100 


-151 




+138 




+ 96 




280 


- 88 




-187 




+ 71 






105 


163 


-12 


126 


-12 


99 


+3 


285 


71 


+17 


193 


- 6 


67 


-4 




110 


174 


11 


114 


12 


101 


2 


290 


53 


18 


198 


6 


62 


5 




115 


183 


9 


102 


12 


104 


3 


295 


33 


20 


201 


3 


57 


5 




120 


191 


8 


90 


12 


106 


2 


300 


- 13 


20 


202 


- I 


51 


6 




125 


198 


7 


78 


12 


107 


1 


305 


+ 8 


21 


201 


+ 1 


46 


6 




130 


203 


5 


67 


11 


109 


3 


310 


30 


22 


198 


3 


40 


6 




135 


208 


5 


56 


11 


110 


I 


315 


52 


22 


192 


6 


34 


6 




140 


211 


3 


46 


10 


111 


1 


320 


73 


21 


183 


9 


29 


5 




145 


214 


3 

2 


36 


10 
10 


112 


1 

1 


325 


94 


21 
19 


171 


12 
15 


24 


5 

4 




150 


-216 




+ 26 




+113 




330 


+113 




-156 




+ 20 






155 


217 


- 1 


17 


- 9 


113 





335 


131 


+18 


139 


+17 


16 


-4 




160 


218 


- 1 


+ 8 


9 


114 


+1 


340 


147 


16 


119 


20 


12 


4 




165 


218 








8 


114 





345 


161 


14 


97 


33 


10 


2 




170 


218 





- 7 


7 


114 





350 


172 


11 


73 


34 


8 


2 




175 


218 





15 


8 


114 





355 


179 


7 


48 


25 


7 


-1 




180 


-217 


+ 1 


- 22 


- 7 


+113 


-1 


360 


+183 


+ 4 


- 22 


+26 


+ 7 












57 



TABLE lY.— Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. | 


ARGUMENT X. 




Arg. 


r 


Diff. 


v' 


DifF. 


r 


Diff. 


Arg. 


1' 


Diff. 


V 


Diff. 


•c.' 


Diff. 


o 



-138 


+ 2 
3 


- 38 




+8 




o 
180 


+178 




+ 62 




-8 




5 
10 


136 
133 


48 
59 


—10 

11 


7 


-1 


185 
190 


171 
162 


- 7 
9 


78 
94 


+16 
10 


7 


+1 


15 


129 


4 


69 


10 




1 


195 


151 


11 


108 


14 




1 


20 


124 


5 


80 


11 


6 




200 


139 


13 


121 


13 


6 




25 


119 


6 


90 


10 




1 


205 


125 


14 


133 


12 




1 


30 


1)3 


6 


100 


10 


5 




210 


111 


14 


144 


11 


5 


35 


106 


7 


110 


10 




1 


215 


95 


IG 


152 


8 




2 


40 


98 


6 


119 


9 


4 




220 


79 


16 


159 


7 


4 




45 


89 


9 
10 


128 


9 
9 




1 


225 


63 


16 
16 


165 


6 

4 




1 


50 
55 
60 


- 79 
68 
57 


+n 

12 


-137 
144 
151 


- 7 


+3 
+1 


-2 


230 
235 
240 


+ 47 

30 

+ 14 


-17 
16 


+169 
171 
171 


+ 2 



-3 
-1 


+2 


65 


44 


13 


157 






1 


245 


- 2 


16 


170 


- 1 




1 


70 


30 


14 


162 









250 


17 


15 


168 


2 







75 


16 


14 


166 






2 


255 


32 


IS 


164 


4 




2 


80 


- 1 


15 


169 




-2 




260 


46 


14 


159 


6 


+2 




85 


+ 15 


16 


170 






1 


265 


59 


13 


153 


6 




1 


90 


31 


16 


169 


+ 1 


3 




270 


71 


12 


146 


7 


3 




95 


47 


16 
16 


167 


2 
3 




2 


275 


82 


11 
10 


138 


8 
9 




2 


100 
105 


+ 63 

79 


+16 


-164 
159 


+ 5 


-5 


-1 


280 

285 


- 92 
101 


- 9 


+129 
120 


- 9 


+5 


+1 


110 


95 


16 


152 


7 


6 




290 


109 


S 


110 


10 


6 




115 


110 


13 


143 


9 




1 


295 


116 


7 


100 


10 




1 


120 


124 


14 


133 


10 


7 




300 


122 


6 


90 


10 


7 




125 


138 


14 


123 


11 




1 


305 


127 


S 


79 


11 




I 


130 


150 


12 


109 


13 


8 




310 


131 


4 


69 


10 


8 




135 


161 


11 


95 


14 







315 


135 


4 


58 


11 







140 


170 


9 


79 


16 


8 




320 


138 


3 


47 


11 


8 




145 


178 


8 
6 


63 


16 
17 







325 


140 


2 

1 


36 


11 

10 







150 


+184 




- 46 




-8 




330 


-141 




+ 26 




+8 




155 


188 


+ 4 


28 


+18 




-1 


335 


142 


- I 


15 


-11 




+1 


160 


190 


+ 2 


- 10 


18 


9 




340 


142 





+ 4 


11 


9 




165 


190 





+ 8 


18 




+1 


345 


142 





- 6 


10 




-1 


170 


188 


- 3 


26 


18 


8 




350 


141 


+ I 


17 


11 


8 




175 


184 


4 


44 


18 







355 


140 


1 


27 







180 


+178 


- 6 


+ 62 


+13 


-8 




360 


-138 


+ 2 


- 38 -" 


+8 





58 





TABLE IV. Contmued. 






PERTURBATIONS OP THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 






ARGUMENT XI. 






Arg. 


5' 


Diff. 


V 


Diff. 


£' 


Diff. 


Arg. 


r 


Diff, 


V 


Diff. 


r 


Diff. 




o 



- 84 




-120 




+ 1 




o 
ISO 


+ 37 




+156 




- 1 






5 


92 


- 8 


110 


+ 10 




+3 


185 


53 


+16 


153 


- 3 




-2 




10 


99 


7 


100 


10 


3 




190 


68 


IS 


149 


4 


3 






15 


105 


6 


90 


10 




3 


195 


84 


16 


143 


6 




3 




20 


110 


5 


80 


10 


6 




200 


99 


IS 


135 


8 


6 






25 


114 


4 


69 


11 




3 


205 


114 


15 


126 


9 




3 




30 


117 


3 


59 


10 


9 




210 


127 


13 


115 


11 


9 






35 


119 


3 


49 


10 




3 


215 


140 


. 13 


103 


12 




3 




40 


121 


2 


39 


10 


11 




220 


151 


11 


90 


13 


11 






45 


122 


— 1 




30 


9 
9 




3 


225 


161 


10 

8 


75 


15 
16 




3 




50 


-122 




- 21 




+13 




230 


+169 




+ 59 




-13 






55 


122 





12 


+ 9 




+1 


235 


175 


+ 6 


42 


-17 




-1 




60 


122 





- 3 


9 


14 




240 


180 


5 


24 


18 


14 






65 


122 




+ 1 


+ 6 


9 




+3 


245 


182 


+ 2 


+ 6 


18 




-3 




70 


121 


14 


8 


16 




250 


182 





- 12 


IS 


16 






75 


120 


1 


22 


8 







255 


180 


- 2 


30 


IS 









80 


119 


1 


30 


8 


16 




260 


176 


4 


48 


18 


16 






85 


118 


1 


38 


8 







265 


170 


6 


66 


18 









90 


116 


2 


46 


8 


16 




270 


163 


7 


82 


16 


16 






95 


114 


3 
2 


54 


8 
9 







275 


153 


10 
11 


97 


15 
14 









100 


-112 




+ 63 




+16 




280 


+142 




-111 




-16 






105 


109 


+ 3 


71 


+ 8 




-1 


285 


129 


-IS 


124 


-13 




+1 




110 


105 


4 


79 


8 


15' 




290 


115 


14 


135 


11 


15 






115 


101 


4 


88 


9 




1 


295 


101 


14 


145 


10 




1 




120 


96 


6 


96 


8 


14 




300 


85 


16 


153 


8 


14 






125 


90 


6 


104 


8 




3 


305 


69 


16 


159 


6 




2 




130 


83 


7 


112 


8 


12 




310 


53 


16 


163 


4 


12 






135 


76 


7 


120 


8 




2 


315 


36 


n 


165 


3 




3 




140 


67 


9 


128 


8 


10 




320 


20 


16 


166 


- 1 


10 






145 


57 


10 
11 


135 


7 
6 




3 


325 


+ 4 


10 
15 


-165 


+ 1 
3 




3 




150 


- 46 




+141 




+ 8 




330 


- U 




-162 




- 8 






155 


34 


+13 


146 


+ 5 




-3 


335 


26 


-15 


158 


+ 4 




+3 




160 


21 


13 


151 


5 


5 




340 


40 


14 


152 


6 


5 






165 


- 8 


13 


154 


3 




3 


345 


52 


12 


146 


6 




3 




170 


+ 7 


15 


156 


+ 3 


+ 2 




350 


64 


12 


138 


8 


- 2 




175 

180 


22 

+ 37 


la 

+15 


156 
+156 






- 1 


-3 


355 
360 


74 

- 84 


10 
-10 


129 
-120 


9 
+ 9 


+ 1 


+3 









59 



TABLE lY . — Continued. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 



ARGUMENT XII. 



Arg. 




10 

20 
30 
40 
50 
60 
70 
80 
90 

100 
110 
120 
130 
140 
150 
160 
170 
180 
190 

200 
210 
220 
230 
240 
250 
260 
270 
280 



Diff. 



+ 5 

25 

44 

62 

78 

92 

104 

112 

117 

118 

+116 

110 

100 

88 

73 

55 

35 

+ 15 

- 6 
27 

- 47 
65 
81 
95 

105 
113 
116 
117 
114 



290 


107 


300 


- 97 


310 


85 


320 


70 


330 


53 


340 


35 


a50 


- 15 


360 


+ 5 



+20 

19 

18 

16 

14 

12 

8 

5 

+ 1 

- 2 



10 
12 
15 
18 
20 
20 
21 
31 

20 

-19 

16 

14 

10 

8 

3 

- 1 

+ 3 

7 

10 

+13 
15 
17 
18 
20 

+20 



+ 5 

17 

28 
39 
48 
56 
61 
65 
66 
66 

+63 
58 
52 
44 
35 
25 
14 
+ 3 
- 7 
18 

-28 
37 
45 
52 
57 
61 
63 
63 
62 
59 

-54 
47 
39 

29 

18 

- 7 

+ 5 



DifF. 



+12 

11 
11 

9 
8 
6 
4 
+ 1 


- 3 

- 6 
6 
8 
9 

10 
11 
11 
10 
11 



8 
7 
5 
4 

- 3 


+ 1 
3 



+ 7 
8 
10 
11 
11 

+12 



+23 

15 
+ 6 
- 3 

12 

20 

28 

35 

41 

45 

-49 
51 
51 
50 
47 
42 
37 
30 
23 
15 

-6 

+ 3 

12 

20 
28 
35 
41 
45 
49 
51 

+51 
50 
47 
42 
37 
30 

+23 



Diff. 



-2 


+1 
3 
S 
5 
7 
7 
6 



+9 
9 
8 
8 
7 
6 
4 
4 

+2 



-1 
3 

a 
s 

7 
-7 



ARGUMENT XIII. 



Arg. 




10 
20 
30 
40 
50 
60 
70 
80 
90 



+23 

21 

19 

16 

13 

9 

+ 4 

- 1 

7 

14 



100 


-20 


110 


26 


120 


32 


130 


37 


140 


40 


150 


42 


160 


41 


170 


39 


180 


35 


190 


30 



Diff. 



190 
200 


30 
-23 


210 


15 


220 


- 7 


230 


+ 1 


240 


9 


250 


16 


260 


21 


270 


26 


280 


29 


290 


+30 


300 


+31 


310 


31 


320 


30 


330 


29 


340 


27 


350 


25 


360 


+23 



-2 
3 
3 
8 

4 
S 
S 
6 

7 

6 

-6 
6 
6 



+1 
3 
4 
6 

7 

+8 
8 
8 
8 
7 
5 
6 
3 
1 

+1 


-1 
I 
3 
3 
-2 



-15 
18 
21 
24 
27 
30 
33 
35 
35 
35 

-33 
29 
24 
18 
10 
- 2 
+ 7 
16 
24 
31 

+36 
40 
41 
41 
40 
37 
32 
26 
21 
15 

+ 9 

+ 4 

- 1 

5 

8 

12 

-15 



Diff. 



3 

-2 



+2 

+4 
S 
6 
8 
8 
9 
9 
8 
7 



+4 
+ 1 

-1 
3 
5 
6 
6 



-8 
7 

6 
6 
5 
3 
2 
-1 
+1 
2 

+3 
5 
6 
6 

7 



+6 
6 
5 
3 
2 
+1 
-1 
2 
3 
5 

-6 
6 

7 
8 



Diff. 



60 





TABLE lY. — Conimued. 








PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 




ARGUMENT 


xiy. 


ARGUMENT XV. 




Arg. 


r 


Diff. 


V 


Diff. 


£' 


Diff. 


Arg. 


r 


Diff. 


V 


Diff. 


i' 


Diff. 




o 



-37 




-12 




+1 




o 



-601 




+413 




+17 






10 


34 


+3 


17 


-5 






10 


520 


+ 81 


510 


+ 97 


15 


-2 




20 


31 


3 


23 


6 






20 


423 


97 


593 


83 


12 


3 




30 


37 


4 


28 


5 






30 


312 


111 


657 


64 


9 


3 




40 


22 


S 


32 


4 






40 


193 


119 


701 


44 


5 


4 




50 


16 


6 


35 


3 


+1 




50 


- 68 


125 


724 


23 


+ 2 


3 




60 


10 


6 


38 


3 







60 


+ 59 


127 


725 


+ 1 


- 2 


4 




70 


- 3 


7 


39 


-1 







70 


184 


125 


704 


- 21 


6 


4 
3 




80 


+ 4 


7 


39 










80 


304 


120 


662 


42 


9 




90 


11 


7 
7 


38 


+1 
2 







90 


415 


111 

98 


599 


63 

SO 


12 


3 
3 




100 


+18 




-36 









100 


+513 




+519 




-15 






110 


24 


+6 


32 


+4 







110 


595 


+ 82 


422 


- 97 


17 


-2 




120 


30 


6 


28 


4 







120 


660 


65 


313 


109 


19 


2 




130 


34 


4 


22 


6 


_]_ 




130 


704 


44 


194 


119 


20 


1 




140 


38 


4 


16 


6 






140 


727 


23 


+ 69 


125 


21 


—1 




150 


40 


2 


9 


7 






150 


728 


+ 1 


- 58 


127 


21 







160 


41 


+1 


- 2 


7 






160 


707 


- 21 


183 


125 


20 


+1 




170 


41 





+ 6 


8 






170 


664 


43 


302 


119 


19 


1 




180 
190 


39 
36 


-2 
3 


13 

20 


7 
7 






180 


+601 


- 63 


-413 


-111 


-17 


+2 
















4 




6 






ARGUMENT XVI. 








200 


+32 




+26 
















210 


27 


-5 


31 


+5 

A 






Arg. 


1' 


Diff. 


v' 


Diff 


£' 


Diff. 




220 
230 


21 
14 


7 


35 

38 


4 

3 






















o 




















7 




1 









+239 




+301 




-5 






240 


+ 7 


7 


39 


+1 







10 


182 


-57 


337 


+36 


4 






250 





7 


40 


-1 







20 


120 


62 


363 


26 


3 






260 


- 7 


7 


39 


2 







30 


+ 54 


66 


378 


15 


2 






270 


14 


6 


37 


3 





■ 


40 


- 14 


68 


382 


+ 4 


~1 






280 


20 




34 













67 




— g 








290 


25 


5 


30 


4 







50 
60 


81 
146 


65 


374 
354 


20 


+1 
2 






300 


-30 


6 


+25 


5 







70 


206 


60 

54 


324 


30 
40 


3 






310 


33 


-3 


20 


-5 


+1 




80 


260 


46 


284 


49 


4 






320 


36 


3 


14 


ti 






90 


306 




235 




5 






330 


38 


2 


7 


7 










37 




66 








340 


39 


-1 


+ 1 


6 






100 


-343 


—26 


+179 


—61 


+6 






350 


38 


+1 -5 


6 






110 


369 


15 


118 


65 


6 






360 


-37 


+' -12 


-7 


+1 




120 
130 


384 

388 


- 4 


+ 53 
-»13 

79 


68 


7 
7 
7 










140 


380 


+ 8 


6G 










150 


360 


20 


143 


64 


7 










160 


329 


31 


202 


59 


6 










170 


288 


41 


255 


53 


6 










180 


-239 


+49 


-301 


-46 


+5 






From the Arguments >.180° subtract 


80°, and 


reverse 








the sign of i', ?/, and t'. 









,61 







TABLE lY. — Continued. 








PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH 


DECIMAL. 




ARGUMENT XVIL 


ARGUMENT XIX. 




Arg. 


1' 


DifF. 


V 


Diff. 


S' 


DifF. 


Arg. 


«'. 


DifF. 


V 


DifF. 


r 


DifF. 




O 


-252 
244 


+ 8 


+ 19 
62 


+43 


+1 





o 


10 


1 +172 
166 


- 6 


- 25 
55 


-30 


-4 
4 


1 




20 


230 




103 




-1 




20 


154 


12 


83 


28 


4 






30 


208 




141 




2 




30 


138 


•16 


109 


26 


3 


1 




40 
50 


180 
147 


33 


175 

204 


29 


3 

4 




40 
50 


118 

94 


20 
24 


131 

150 


22 
19 


3 
2 


1 




60 


109 




226 


22 


4 




60 


67 


27 


164 


14 


2 






70 


68 




242 


16 


5 




70 


38 


29 


173 


9 


1 






80 


- 24 


44 


250 


+ 8 


5 




80 


+ 8 


80 


177 


- 4 


-1 






90 


+ 20 


43 


250 




- 7 


6 




90 


- 22 


80 
29 


175 


+ 2 
7 


+0 






100 


+ 63 




+243 




-6 




100 


- 51 




-168 




+1 






110 


105 


+42 


228 


-15 


6 




110 


79 


-28 


156 


+12 


1 






120 


143 


38 


207 


21 


6 




120 


105 


26 


139 


17 


2 






130 


177 


34 


179 


28 


5 




130 


127 


22 


118 


21 


2 






140 


205 




146 


33 


5 




140 


146 


19 


94 


24 


3 






150 


226 




109 




4 




150 


160 


14 


66 


28 


3 






160 


243 


IS 


68 


41 


3 




160 


169 


9 


37 


29 


4 






170 


251 




+ 25 


43 


2 




170 


173 


- 4 


- 6 


31 


4 






180 


+253 


+ 1 


- 19 


-44 


-1 




180 


-172 


+ 1 


+ 25 


+31 


+4 






ARGUMENT XVIII. 


ARGUMENT XX. 




Arg. 


5' 


DifF. 


V 


DifF. 


S 


DifF. 


Arg. 


? 


DifF. 


V 


DifF. 


£' 


DifF. 




o 




+110 




+36 




+ 3 




o 



-129 




- 65 




+ 4 






10 


126 


+16 


26 


-10 


+ 1 




10 


128 


+ 1 


85 


-20 


12 


+8 




20 


138 


13 


14 


n 


- 1 




20 


124 


4 


102 


17 


20 


8 




30 


146 


8 


+ 3 


n 


3 




30 


116 


8 


116 


14 


27 






40 


149 


+ 3 


- 9 


12 


5 




40 


104 


12 


126 


10 


33 


6 




50 


148 


- 1 


21 


12 


6 




50 


90 


14 


133 


7 


38 


o 




60 


143 


5 


31 


10 


8 




60 


72 


18 


135 


- 2 


42 


4 




70 


133 


10 


41 


10 


9 




70 


53 


19 


134 


+ 1 


45 






80 


119 


14 


50 


9 


10 




80 


31 


22 


128 


6 


46 


+1 




90 


102 


17 
21 


57 


7 
6 


11 




90 


- 9 


22 
22 


119 


9 
18 


46 




-1 




100 


+ 81 




-62 




-11 




100 


+ 13 




-106 




+45 






110 


58 


-23 


66 


- 4 


11 




110 


35 


+22 


89 


+ 17 


42 


-3 




120 


33 


25 


68 


- 2 


10 




120 


57 


22 


70 


19 


38 


4 




130 


+ 7 


26 


67 


+ 1 


10 




130 


76 


19 


49 


21 


33 


5 




140 


- 19 


26 


64 


3 


9 




140 


93 


17 


27 




26 






150 


44 


2S 


60 


4 


7 




150 


107 


14 


- 3 




19 






160 


68 


24 


53 


7 


6 




160 


118 


11 


+ 20 


23 
23 

+22 


12 


8 
-8 




170 
180 


90 
-110 


22 
-20 


45 
-36 


a 

+ 9 


4 
- 3 




170 
180 


125 

+129 


+ 4 


43 
+ 65 


+ 4 
- 4 




From the Arguments >180° subtract 180°, and reverse the sign of S', »;', and C'. 





62 





TABLE IV.- 


- Continued. 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT XXI. 




ARGUMENT 


XXIII. 


Arg. 


1' 


DiflF. 


V 


DifF. 


S' 


DifF. 


Arg. 


1'- 


DifF. 


V 


Diff. 


S' 


Diff. 


o 



+ 62 




+ 79 




-1 









-53 




+ 4 









10 


47 


-15 


88 


+ 9 


-1 




10 


52 


+ 1 


13 


+ 9 







20 


31 


16 


95 


7 







20 


49 


3 


22 


9 







30 


+ 14 


n 


99 


4 







30 


44 


6 


30 


8 







40 


- 4 


18 


100 


+ 1 







40 


38 


6 


37 


7 







50 


21 


17 


98 


- 2 







50 


31 


7 


44 


7 


^\ 




60 


38 


17 


93 


6 







60 


23 


8 


49 


5 






70 


54 




85 


8 







70 


15 


8 


52 


3 






80 


68 


14 


74 


11 


+1 




80 


-6 


9 


54 


+ 2 






90 


80 


12 
9 


61 


13 
IS 






90 


+ 4 


10 
9 


54 



- 2 






100 


- 89 




+ 46 




+1 




100 


+13 




+52 




_J 




110 


96 


- 7 


30 


-16 






110 


22 


+ 9 


49 


-3 






120 


100 




+ 13 


17 






120 


30 


8 


45 


4 






130 


101 


- 1 


- 4 


17 






130 


87 


7 


39 


6 


_1 




140 


98 




21 


17 






140 


43 


6 


32 


7 







150 


93 




38 








150 


48 


6 


24 


8 







160 


85 




53 








160 


51 


3 


15 


9 







170 


75 




67 


14 






170 


53 


+ 2 


+ 6 


9 







180 


-62 


+13 


- 79 


-12 


+1 




180 


+53 


» -4 


-10 







ARGUMENT XXII. 


ARGUMENT XXIV. 


Arg. 


r 


DifF. 


V 


Diff. 


£' 


DifF. 


Arg. 


r 


DifF. 


V' 


DifF. 


^ 


DifF. 


o 



+79 




+50 









o 




-53 




+32 




+2 




10 


69 


—10 


63 


+13 







10 


52 


+ 1 


24 


- 8 


+1 




20 


57 


12 


74 


11 







20 


49 


3 


15 


9 







30 


43 




83 


9 







30 


45 


4 


+ 6 


9 


-1 




40 


28 


15 


89 


6 







40 


39 


6 


- 4 


10 


1 




50 


+12 


16 


93 


+ 4 







50 


32 


7 


13 


9 


2 




60 


- 4 


IS 


93 










60 


24 


6 


22 


9 


3 




70 


20 


16 


91 


- 2 







70 


16 


6 


30 


8 


4 




80 


36 


16 


86 


5 







80 


- 6 


10 


38 


8 


5 




90 


.50 


14 
13 


79 


7 
10 







90 


+ 3 


9 
9 


44 


6 
5 


5 




100 


-63 




+69 









100 


+12 




-49 




—5 




110 


74 


-11 


57 


-12 







110 


21 


+ 9 


52 


- 3 


6 




120 
130 


83 

89 


9 
6 


43 

28 


14 

15 








120 
130 


29 
36 


8 
7 


54 
54 


- 2 



6 
5 




140 
150 


93 

94 


- 1 

+ 3 


+12 
- 4 


16 








140 
150 


42 
47 


6 
5 


53 

50 


+ 1 
3 


5 
5 




160 


91 


20 









160 


51 


4 


45 


5 


4 




170 
180 


86 
-79 


5 

+ 7 


36 
-50 


16 
-14 








170 
180 


53 

+53 


+ 2 



39 
-32 


6 

+ 7 


3 
-2 






From the Arguments >180° subtract 180°, and 


reverse the sign of I', »;', a 


tid t'. 



63 







TABLE r V . — Cmtinued. 






PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT XXV. ' i* 


5 ARGUMENT XXVII. 


Arg. 


5' 


Diff. 


n' 


Diff. 


£' 


Diff. 


Arg. 


if 


Diff. 


V 


Diff 


r 


Diff. 


o 



+27 




-11 









o 




-25 




+17 









10 


17 


-10 


16 


-5 





i7* 


10 


21 


+4 


21 


.+4 







20 


+ 7 




20 









20 


17 


4 


25 


4 







30 


- 3 


10 


24 


4 







30 


13 


4 


27 


2 







40 


14 


11 


27 


3 







40 


8 


5 


29 


2 







50 


24 


10 


29 









50 


- 3 


S 


30 


+1 







60 


33 




30 









60 


+ 2 


5 


30 










70 


41 


8 


03 










70 


7 


S 


29 


-1 







80 


48 


7 


30 










80 


12 


5 


27 


2 







90 


54 


6 
4 


28 


+2 
2 







90 


17 


6 
4 


25 


2 

4 







100 


-58 




-26 









100 


+21 




+21 









110 


60 


- 2 


23 


+3 







110 


24 


+3 


17 


-4 







120 


60 





19 


4 







120 


2? 


3 


13 


4 







130 


58 




14 









130 


29 




8 


6 







140 


55 


3 


9 









140 


30 


+1 


+ 3 


3 







150 


50 




-4 









150 


30 




- 2 









160 


44 


6 


+ 1 


S 







160 


29 


-1 


7 


5 







170 


36 


8 


6 









170 


27 




12 









180 


-27 


+ 9 


+11 


+5 







180 


+25 


-2 


-17 


-6 







i 
ARGUMENT XXVI. 


ARGUMENT XXVIU. 


Arg. 


1' 


Diff. 


V 


Diff. 


s 


Diff. 


Arg. 


J' 


Diff. 


v' 


Diff 


£' 


Diff 


o 



+29 




-21 














+14 




- 3 









10 


25 


-4 


25 


-4 







10 


13 


-1 


+ 3 


+6 







20 


21 


4 


28 


3 







20 


12 


1 


8 









30 


16 


5 


31 


3 







30 


11 


I 


13 









40 


11 


6 


33 


2 







40 


9 


2 


18 









50 


+ 5 


6 


34 


-1 







50 


7 


2 


22 


4 







60 


- 1 


6 


33 


+1 







60 


5 


2 


26 


4 







70 


7 


6 


32 


1 







70 


+ 3 




29 









80 


13 


6 


30 


2 







80 







31 


+1 







90 


18 


6 


26 


4 







90 


- 2 




32 











6 




4 










3 











100 


-23 




-22 









too 


- 5 




+32 









110 


27 


-4 


18 


+4 







110 


7 


-2 


31 


2 
3 
3 







120 


30 


3 


13 


5 







120 


9 




29 







130 


32 


2 


7 


6 







130 


11 




26 







140 


33 


1 


- 1 


6 







140 


12 




23 







150 
160 


34 
33 


-1 
+1 


+ 5 
11 


6 
6 








150 
160 


13 

14 


-1 


18 
13 


6 








170 


32 


1 


16 









170 


14 




8 


-6 







180 


-29 


+3 


+21 


+6 







180 


-14 




+ 3 











From the Arguments >180° subtract 180°, and reverse the sign of I', v', « 


nd C 





64 



TABLE lY. — Continued 




PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 


ARGUMENT XXIX. 


ARGUMENT XXXI. 


ARGUMENT XXXV. 


Arg. 


1' 


Diff. 


V 


Diff. 


S' 


Arg. 


1' 


V 


S 


Arg. 


5' 


'/ 


r 


o 



+19 




-5 







o 



- 9 


- 3 





o 



+4 ■ 


+5 





10 


17 


-2 


4 







20 


8 


6 





20 


+2 


5 





20 


14 




3 







40 


5 


8 





40 





6 





30 


11 


3 


2 







60 


- 2 


10 





60 


-2 


5 





40 


7 


4 


-I 







80 


+ 1 


10 





80 


4 


4 





50 


+ 4 




+1 







100 


4 


9 





100 


5 


3 





60 





4 


2 







120 


7 


6 





120 


6 


+1 





70 


- 4 


4 


3 







140 


9 


- 3 





140 


6 


-1 





80 


8 


4 


4 







160 


10 








160 


5 


3 





90 


11 


3 
3 


5 







180 


+ 9 


+ 3 





180 


-4 


-5 





ARGUMENT XXXII. 


ARGUMENT XXXVI. 1 


100 
110 


-14 
17 


-3 


+6 

7 










1 





-8 


+ 4 








-4 


+3 





120 


19 




7 







20 


6 


7 





20 


-1 


+1 


-1 


130 


21 




7 







40 


-4 


9 





40 


+2 


-1 


1 


140 


22 




7 







60 





10 





60 


4 


3 


2 


150 


22 




7 







80 


+3 


9 





80 


7 


5 


2 


160 


22 




7 







100 


6 


8 





100 


8 


6 


2 


170 


21 




6 







120 


8 


5 





120 


9 


6 


2 


180 


-19 




+5 







140 
160 


9 
9 


+ 2 
- 1 






140 
160 


8 
6 


5 
4 


1 
-1 




ARGUMENT XXX. 


180 


+8 


- 4 





180 


+4 


-3 





ARGUMENT XXXIII. 


ARGUMENT XXXVII. 1 


Arg. 


1' 


Diff. 


v' 


Diff. 


?' 




20 
40- 


+ 2 
5 

8 


-10 
8 
6 







20 
40 


+3 
+1 
-1 


-4 






o 



- 9 




- 9 




-2 


5 





10 


7 




12 




3 


60 


9 


- 3 




60 


2 


5 





20 


5 




15 




3 


80 


10 







80 


4 


4 





30 


- 2 




17 




2 


100 


9 


+ 4 




100 


5 


2 





40 







18 




2 


120 


8 


7 




120 


6 


-1 





50 


+ 3 




19 




2 


140 


5 


9 


-1 


140 


5 


+1 





60 


5 




20 




2 


160 


+ 2 


10 





160 


4 


3 





70 
80 


8 
10 




20 
19 




1 

1 


180 


- 2 


+10 





180 


-3 


+4 





ARGUMENT XXXIV. 


ARGUMENT XXXVIII. 1 


90 


12 




18 




-1 




1 





-7 


-1 








+4 


-5 


-1 


100 


+13 




-16 







20 


7 


+1 





20 


2 


6 


1 


110 


14 




14 




+1 


40 


7 


4 





40 


+1 


6 


-1 


120 


15 




11 




1 


60 


6 


5 





60 


-1 


6 





130 


15 




8 




1 


80 


4 


7 





80 


3 


5 





140 


15 




5 




2 


100 


-1 


7 





100 


5 


4 





150 


14 




- I 




2 


120 


+1 


7 





120 


6 


-2 





160 


13 




+ 2 




2 


140 


4 


6 





140 


6 


+1 


+1 


170 


11 




6 




2 


160 


6 


4 





160 


5 


3 


1 


180 


+ 9 




+ 9 




+2 


180 


+7 


+1 





180 


-4 


+5 


+1 


From the Arguments >180° subtract 180°, and reverse the 


sign of i', ))', and t'. 



65 



TABLE lY. — Cmcluded. 
PERTURBATIONS OF THE CO-ORDINATES IN UNITS OF THE SIXTH DECIMAL. 



ARGUMENT XXXIX. 



Arg. 





20 

40 

60 

80 

100 

120 

140 

160 

180 





20 

40 

60 

80 

100 

120 

140 

160 

180. 



+4 
3 

+2 


-2 
3 
5 
5 
5 

-4 



+3 

4 

5 

5 

5 

4 

2 

+1 

-1 

-3 



ARGUMENT XL. 






-3 


20 


3 


40 


2 


60 


2 


80 


-1 


100 


+1 


120 


2 


140 


2 


160 


3 


180 


+3 



-6 
5 
4 

-2 


+2 
4 
5 
6 
+6 



ARGUMENT XLI. 






+4 


20 


3- 


40 


2 


60 


+1 


80 





100 


-1 


120 


3 


140 


3 


160 


4 


180 


-4 



+1 
1 
J 
1 
1 

+1 




-1 
-1 



ARGUMENT XLII. 



-2 

2 

-1 




+1 
2 
2 
2 

+2 



-1 

1 
2 
2 
2 
2 
2 

-I 


+1 



Arg. 





20 

40 

60 

80 

100 

120 

140 

160 

180 





20 

40 

60 

80 

100 

120 

140 

160 

180 





20 

40 

60 

80 

100 

120 

140 

160 

180 



ARGUMENT XLIU. 



-3 
2 
2 
1 

-1 

+1 
1 
2 
2 

+3 




+1 
1 
2 
2 
2 
2 
1 
+1 




ARGUMENT XLIV. 



-3 
3 
2 
2 

-1 


+1 
2 
2 

+3 



+1 


-1 
2 
3 
3 
3 
3 
2 

-1 



ARGUMENT XLV. 






-2 


20 


2 


40 


2 


60 


2 


80 


1 


100 


-1 


120 





140 


+1 


160 


2 


180 


+2 



-1 




+1 
1 

2 
2 
2 
1 

+1 



ARGUMENT XLVI. 






+1 
1 

2 
2 
2 
2 
+1 




+1 
+1 




-1 
1 
1 
1 
1 

-I 



ARGUMENT XLVII. 



Arg. 




20 
40 
60 
80 
100 
120 
140 
160 
180 



+1 





-1 
1 
1 
1 
1 

-1 



+1 
1 

1 
1 

+1 





-1 
-1 
















ARGUMENT XLVIII. 





20 

40 

60 

80 

100 

120 

140 

160 

180 






-1 





1 





1 


-1 


1 




1 




-1 












-1 


+1 





+1 



ARGUMENT XLIX. 





20- 

40 

60 

80 

100 

120 

140 

160 

180 



+1 
1 

1 

+1 



-1 
1 
1 

-1 



From the Arguments >180° subtract 180°, and reverse the sign of t , >;', and V. 



66 



TABLE V. . 
LOGARITHMS FOR REFERRING THE PERTURBATIONS TO THE EQUATOR. 

Mean Equinox of the beginning of the Tear. ' 



Yoai-s. 



1851 

1852B 

1853 

1854 

1855 

18566 

1857 

1858 

1859 

1860B 

1861 

-1862 

1863 

1864 Z3 

1865 

1866 

1867 

1863B 

1869 

1870 

1871 

1£72B 

1873 

1874 

1875 

1876S 

1877 

1878 

1879 

1880B 

1881 

1882 

1883 

1884 B 

1885 

1886 

1887 

1888B 

1889 

1890 

1891 

1892B 

1893 

1894 

1895 

1896B 

1897 

1898 

1899 

1900B 



cos {xi x) 



9.937163 

9.937107 

9.937051 

9.936995 

9.936939 

9.936882 

9.936826 

9.936769 

9.936713 

9.936656 

9.936600 

9.936543 

9.936487 

9.936430 

9.936374 

9.936317 

9.936261 

9.936204 

9.936148 

9.936091 

9.936034 

9.935977 

9.935921 

9.935864 

9.935807 

9.935750 

9.935694 

9-935637 

9.93558J 

9.935523 

9.935466 

9.935409 

9-935352 

9.935295 

9.935228 

9.935161 

9.935114 

9.935066 

9.935009 

9.934951 

9-934894 

9-934836 

9-934779 

9-934721 

9-934663 

9-934605 

9-934548 

9-934490 

9-934432 

9.934374 



cos (yi x) 



9.667863« 

9.668063« 

9.668264« 

9.668464« 

9.668665« 

9.66d865« 

9.669065« 

9.669265« 

9.669465« 

9.66966o« 

9.669865« 

9.670064« 

9-670264« 

9-670463« 

9-670663« 

9.670862« 

9-671061« 

9-671260« 

9-671459« 

9-671657« 

9-671856« 

9-672054« 

9-672253« 

9-672451« 

9-672649« 

9-672847« 

9-673045« 

9-673243« 

9-67344 1« 

9-673638W 

9-673836« 

9-674033;z 

9-674230« 

9-674427;? 

9-674624« 

9-674821W 

9-6750187? 

9-675214« 

9-675411« 

9-675607« 

9-675803« 

9.675999« 

9.676195« 

9-676391« 

9-676587« 

9-676782« 

9-676978« 

9-677173« 

9-677360W 

9-677564« 



cos («i x) 



9-269727« 

9.269685« 

9.269643« 

9.26960 1« 

9.269559« 

9.269516« 

9.269474« 

9.269432« 

9.269390« 

9.269347« 

9.269305« 

9.269262« 

9.269220« 

9.2691 77« 

9.269135« 

9.269092;? 

9.269049« 

9.269006;? 

9.268964« 

9.268921« 

9.268878« 

9.268835« 

9-268792« 

9-268749« 

9-268706;? 

9-268663;? 

9-268620;? 

9-268577;? 

9-268534« 

9-268491« 

9-268448« 

9-268405;? 

9-268362« 

9-268318;? 

9-268275;? 

9-268232« 

9-268189;? 

9-268145/? 

9-268102;? 

9-26S059« 

9-268016« 

9-267972;? 

9.267929« 

9-267885;? 

9-267842« 

9.267798;? 

9.267755;? 

9.267711;? 

9.267667« 

9.267623« 



cos (xi y) 



9.531058 

9.531305 

9.531552 

9.531799 

9.532046 

9.532293 

9.532540 

9.532786 

9-533033 

9-533279 

9-533525 

9-533771 

9-534017 

9-534263 

9-534509 

9-534754 

9-534999 

9-535244 

9-535489 

9-535734 

9-535979 

9-536223 

9-536467 

9-536711 

9-536955 

9-537199 

9-537473 

9-537686 

9-537929 

9-538172 

9-538415 

9-538658 

9-538901 

9-539143 

9-539385 

9-539627 

9-539869 

9-548110 

9-540352 

9-540593 

9.540834 

9.541075 

9-541316 

9-541556 

9-541796 

9-542036 

9.542276 

9-542516 

9-542756 

9.542995 



cos (yi y) 



9.912469 

9.912414 

9-912360 

9-912305 

9.912250 

9.912195 

9-912141 

9-912086 

9-912031 

9-911976 

9.911922 

9.911867 

9-911812 

9-911757 

9-911703 

9-911648 

9-911593 

9-911538 

9.911484 

9.91l'429 

9.911374 

9.911319 

9.911264 

9.911209 

9.911154 

9.911099 

9-911044 

9-910989 

9-910934 

9-910879 

9-910824 

9-910769 

9.910714 

9.910658 

9.910603 

9.910547 

9-910492 

9-910436 

9-910381 

9-910325 

9-910270 

9-910214 

9-910159 

9-910103 

9-910047 

9-909991 

9-909936 

9-909880 

9-909824 

9-909768 



cos (zi y) 



9-66^2« 
9.667638« 
9.667674« 
9.667710«. 
9.667746;? 
9-667782« 
9-667818« 
9-667854« 
9.667890« 
9-667925« 
9-667961^ 
9-667997« 
9-668033« 
9-668069;? 
9-668105;? 
9-668141 « 
9-668177« 
9-66S212;? 
9-668248« 
9.666284« 
9.668320« 
9-668355« 
9-668391;? 
9-668426« 
9-668462« 
9-668497;? 
9.668533« 
9-668569W 
9-668605« 
9-668640« 
9-668676'? 
9-66871 1« 
9-668747" 
9-668782« 
9.668818« 
9-668854« 
9-668890" 
9-668925« 
9-668961« 
9-668996" 
9-669032" 
9-669067" 
9-669103" 
9-660138" 
9.669174" 
9-669209" 
9-669245" 
9-669280" 
9-669316" 
9-669351« 



cos (xi z) 



9.566586 
9.566685 
9.566785 
9.566884 
9.566983 
9.567082 
9.567181 
9.567280 
9.567379 
9.567478 
9-567577 
9-567676 
9.567775 
9-567873 
9-567973 
9-568072 
9-568170 
9-568268 
9.568367 
9.568465 
9-568564 
9-568662 
9-568761 
9-568859 
9-568957 
9-569055 
9-569153 
9-569251 
9-569349 
9-569447 
9-569545 
9-569643 
9-569741 
9-569839 
9-569937 
9-570035 
9-570133 
9-570230 
9-570328 
9-570426 
9-570524 
9-570621 
9-570719 
9-570817 
9-570915 
9-571012 
9^571110 
9^571207 
9-571305 
9-571402 



cos (yi 2) 



9.530572 
9.530509 
9-530447 
9.530384 
9-530322 
9-530259 
9-530197 
9.530134 
9.530072 
9.530009 
9.529947 
9.529884 
9.529821 
9.529758 
9.529796 
9.529633 
9.529570 
9.529507 
9.529444 
9.529381 
9.529318 
9-529255 
9-529192 
9-529129 
9-529066 
9.529002 
9.528939 
9-528875 
9-528812 
9-528748 
9-528685 
9-528621 
9-528558 
9-528494 
9-528431 
9-528367 
9-528303 
9-528239 
9-528176 
9-528112 
9-528048 
9-527984 
9-527921 
9-527857 
9-527793 
9-527729 
9-527665 
9-527601 
9-527537 
9.527473 



cos (21 z) 



9.937239 

9.937231 

9.937222 

9.937214 

9.937205 

9.937197 

9.937188 

9-937180 

9.937171 

9.937163 

9.937154 

9.937146 

9.937137 

9.937129 

9.937120 

9.937112 

9.937104 

9.937096 

9.937C87 

9.937079 

9.937070 

9.937062 

9.937053 

9.937045 

9.937037 

9-937029 

9-937020 

9-937012 

9-937004 

9-936956 

9-936987 

9-936979 

9-936971 

9-936963 

9-936954 

9-936946 

9-936937 

9-936929 

9-936920 

9-936912 

9-936904 

9-936806 

9-936887 

9-936S79 

9-936871 

9.936663 

9.936854 

9-936846 

9-936838 

9-936830 



67 



TABLE VI. 

VARIATIONS OF THE LOGARITHMS ' IN UNITS OF THE SIXTH DECIMAL 

BY VARYING g? AND e. 


AS 


A cos {x\, x) 


A cos (yi x) 


A cos (zi x) 


A cos (xi y) 


A cos (yi y) 


A cos (zi y) 


A cos (xi z) 


A cos (yi z) 


A cos (zi z) 


1," 

1 

2 
3 
4 
5 
6 
7 
8 
9 
10 


- 1.0 
2.1 
3.1 
4.1 
5.1 
6.2 
7.2 
8.2 
9.3 

-10.3 


+ 4.0 
8.0 
12.0 
16.0 
20.0 
24.0 
28.0 
32.0 
36.0 

+40.0 


-1.0 
1.9 
2.9 
3.9 

4.8 
5.8 
6.8 
7.8 
8.7 
-9.7 


+ 4.9 
9.9 
14.8 
]9.7 
24.6 
20.6 
34.5 
39.4 
44.4 

+49.3 


- 1.1 
2.1 
3.2 
4.3 
.5.3 
6.4 
7.5 
8.6 
9.6 

-10.7 


+0.8 
1.5" 
2.3 
3.1 
3.8 
4.6 
5.4 
6.2 
6.9 

+7.7 


+ 2.0 

3.9 

5.9 

7.9 

9.8 

11.8 

13.8 

15.8 

17.7 

+19.7 


- 1.1 
2.2 
3.3 

4.4 
5.5 
6.6 

7.7 

8.8 

9.9 

-10.1 


-0.2 
0.3 
0.5 
0.7 
0.8 
1.0 
1.2 
1.4 
1.5 

-1.7 


At 


A cos (xi x) 


A cos (yi x) 


A cos (xi x) 


^cos(xly) 


A cos (yi y) 


A cos (zi y) 


A cos (xi z) 


A cos (y\ z) 


A cos (zi z) 


tl 

1 
2 
3 
4 
5 
6 
7 
8 
9 
10 








- 2.0 

4.0 

6.0 

8.0 

10.0 

12.0 

14.0 

16.0 

18.0 

-20.0 


- 1.3 
2.6 
3.9 
5.2 
6.5 
7.8 
9.1 
10.4 
11.7 

-13.0 


+ 3.3 
7.6 
11.4 
15.2 
19.0 
22.8 
26.6 
30.4 
34.2 

+38.0 


+ 2.0 

4.0 

6.0 

8.0 

10.0 

12.0 

14.0 

16.0 

18.0 

+20.0 


+ 5.0 
10.0 
15.0 
20.0 
25.0 
30.0 
35.0 
40.0 
45.0 

+50.0 


- 1.0 
2.0 
3.0 
4.0 
5.0 
6.0 
7.0 
8.0 
9.0 

-10.0 


• 



68 







TABLE VII. 












CONSTANTS FOR THE 


EQUATOR. 












Equator and moan Equinox at the beginning of the Yeai 


• 






Tears. 


A' 


B' 


C 


log sin a. 


log sin b. 


log sin c. 




1851 


118 16 32.4 


/ // 

22 33 50.1 


47° 22 22.8 


9.992347 


9.947054 


9-699841 




1852B 


118 17 23.5 


22 34 41.1 


47 23 1.2 


9.992348 


9.940044 


9.699866 




1853 


118 18 14.3 


22 35 31.8 


47 23 39.3 


9.992350 


9.940034 


9.699891 




1854 


118 19 5.1 


22 36 22.5 


47 24 17.5 


. 9.992351 


9.940024 


9.699916 




1855 


118 19 56.0 


22 37 13.3 


47 24 55.6 


9.992353 


9.940014 


9.699941 




18566 


118 20 47.1 


22 38 4.3 


47 25 34.0 


9.992354 


9.947004 


9.699966 




1857 


118 21 37.9 


22 38 55.0 


47 26 12.1 


9.992356 


9.946994 


9.699991 




1858 


118 22 28.7 


22 39 45.7 


47 26 50.3 


9.992357 


9.946984 


9.700016 




1859 


118 23 19.6 


22 40 36.5 


47 27 28.4 


9.992359 


9.946974 


9.700041 




1860B 


118 24 10.7 


22 41 27.5 


47 28 6.8 


9.992360 


9.946965 


9.700066 




1861 


118 25 1.5 


22 42 19.2 


47 28 44.9 


9.992362 


9.946955 


9.700091 




1862 


118 25 52.3 


22 43 8.9 


47 29 23.1 


9.992364 


9.946945 


9.7001J6 




1863 


118 26 43.1 


22 43 59.7 


47 30 1.2 


9.992366 


9.946935 


9.700141 




1864B 


118 27 34.2 


22 44 50.8 


47 30 39.6 


9.992367 


9.946926 


9.700166 




1865 


118 28 25.1 


22 45 41.5 


47 31 17.7 


9.992369 


•9.946916 


9.700191 




1866 


118 29 15.9 


22 46 32.3 


47 31 55.9 


9.992370 


9.946906 


9.700216 




1867 


118 30 6.8 


22 47 23.1 


47 32 34.0 


9.992372 


9.946896 


9.700241 




1868B 


118 30 57.9 


22 48 14.2 


47 33 12.3 


9.992373 


9.946887 


9.700266 




1869 


118 31 48.7 


22 49 4.9 


47 33 50.4 


9.992375 


9.946877 


9.700291 




1870 


118 32 39.5 


22 49 55.7 


47 34 28.6 


9.992377 


9.946867 


9.700316 




1871 


118 33 30.4 


22 50 46.6 . 


47 35 6.7 


9.992379 


9.946857 


9.700341 




1872B 


118 34 21.6 


22 51 37.7 


47 35 45.0 


9.992380 


9.946847 


9.700366 




1873 


118 35 12.4 


22 52 48.4 


47 36 23.1 


9.992382 


9.946837 


9.700391 




1874 


118 36 3.2 


22 53 19.2 


47 37 1.3 


9.992383 


9.946827 


9.700416 




1875 


118 36 54.1 


22 54 10.1 


47 37 39.4 


9.992385 


9.946817 


9.700441 




1876B 


118 37 45.3 


22 55 1.2 


47 38 17.7 


9.992366 


9.946807 


9.700465 




1877 


118 38 36.1 


22 55 51.9 


47 38 55.8 


9.992388 


9.946797 


9.700490 




1878 


118 39 26.9 


22 56 42.7 


47 39 34.0 


9.992389 


9.946787 


9.700515 




1879 


118 40 17.8 


22 57 33.6 


47 40 12.1 


9.992391 


9.946777 


9.700540 




1880B 


118 41 8.9 


22 58 24.7 


47 40 50.5 


. 9.992392 


9.946767 


9.700565 




1881 


118 41 59.7 


22 59 15.4 


47 41 28.6 


9.992394 


9.946757 


9.700590 




1882 


118 42 50.5 


23 6.2 


47 42 6.8 


9.992395 


9.946747 


9.700615 




1883 


118 43 41.4 


23 57.1 


47 42 44.9 


9.992397 


9.946737 


9.700640 




1884B 


118 44 32.6 


23 1 48.2 


47 43 23.3 


9.992398 . 


9.946727 


9.700664 




1885 


118 45 23.4 


23 2 38.9 


47 44 1.4 


9.992400 


9.946717 


9.700689 




1886 


118 46 14.2 


23 3 29.7 


47 44 39.6 


9.992401 


9.946707 


9.70Q714 




1887 


118 47 5.1 


23 4 20.6 


47 45 17.7 


9.992403 


9.946697 


9.700739 




1888B 


118 47 56.2 


23 5 11.7 


47 45 56.0 


9.992404 


9.946687 


9.700763 




1889 


118 48 47.0 


23 6 2.4 


47 46 34.1 


9.992406 


9.946677 


9.700788 




1890 


118 49 37.8 


23 6 53.2 


47 47 12.2 


9.992407 


9.946667 


9-700813 




1891 


118 50 28.7 


23 7 44.1 


47 47 50.3 


9.992409 


9.946657 


9-700838 




1892B 


118 51 19.9 


23 8 35.2 


47 48 28.7 


9.992410 


9.946648 


9.700862 




1893 


118 52 10.7 


23 9 26.0 


47 49 6.7 


9.992412 


9.946638 


9.700887 




• 1894 


118 53 1.5 


23 10 16.8 


47 49 44.9 


9.992413 


9-946628 


9.700912 




1895 


118 53 52.4 


23 11 7.7 


47 50 23.0 


9.992415 


9-946618 


9.700937 




1896B 


118 54 43.6 


23 11 58.8 


47 51 1.4 


• 9.992416 


9-946608 


9.700962 




1897 


118 55 34.4 


23 12 49.6 


47 51 39.5 


9.992418 


9-946598 


9.700987 




1898 


118 56 25.2 


23 13 40.4 


■ 47 52 17.7 


9.992419 


9-946588 


9-701012 




1899 


118 57 16.1 


23 14 31.3 


47 52 55.8 


9.992421 


9-946578 


9-701037 




1900B 


118 58 7.3 . 


23 15 22.4 


47 53 34.1 


9.992422 


9-946569 


9-701061 





69 



AQ. 



1 

2 
3 

4 
5 
6 
7 
8 
9 
10 



At. 

« 
I 

2 

3 

4 

5 

6 

7 

8 

9 

10 



TABLE VIII, 
VARIATIONS OF THE CONSTANTS BY VARYING ^ AND e. 



A A' 



+ 1.0 
2.0 
3.0 
4.0 
5.0 
6.0 
7.0 
8.0 
9.0 

+10.0 



A A' 



AB' 



+ 1.0 
2.0 
3.0 
4.0 
5.0 
6.0 
7.0 
8.1 
9.1 

+10.1 



AB' 



-0.2 
0.4 
0.6 
0.8 
1.0 
1.3 
1.5 
1.7 
1.9 

-2.1 



A C 



+0.7 
1.5 
2.2 
2.9 
3.7 
4.4 
5.1 
5.9 
6.6 

+7.3 



A log Bin a. 



+0.0 
0.1 
0.1 
0.1 
0.1 
0.2 
0.2 
0.2 
0.3 

+0.3 



AC 



-0.7 
1.5 
2.2 
2.9 
3.6 
4.4 
5.1 
5.8 
6.6 

-7.3 



A log sin a. 



A log sin b. 



-0.2 
0.4 
0.6 
0.8 
1.0 
1.2 
1.4 
1.6 
1.8 

-2.0 



A log sin 6. 



1.0 
2.0 
3.0 
4.0 
5.0 
6.0 
7.0 
8.0 
9.0 
-10.0 



A log sin c. 



+0.5 
1.1 
1.6 
2.1 
2.6 
3.2 
3.7 
4.2 
4.8 

+5.3 



A log sin c. 



+ 3.0 
6.0 
9.0 
12.0 
15.0 
18.0 
21.0 
24.0 
27.0 
+30.0