CATALOGUE OF POLAR STARS. 



o 



71 





w = 1 





t= 10 





s. 



U u t* 



- 0.146 



U lv t* 



+ 5.309 



U X1 1 6 



-71.049 



r YUl ( 8 



• • • • 



U x t 10 



• • • # 



Ijxii t u 



* • • • 



Sums 



w = 8 



f = 40 



0*087 



+ 0.332 



-1.110 

 + 1.492 



0.678 

 + 0.471 



+ 0.470 



w 



t 



16 

 40 



w 

 t 



16 

 100 



s. 



-0.009 

 + 0.021 



0.017 

 + 0.006 



0.001 

 + 0.000 



+ 0.000 



- 0.057 

 + 0.810 



-4.235 



+ 8.893 



-6.316 

 + 6.853 



+ 5.948 



w= 16 



t = 1 JO 



0*082 



+ 1.680 



-12.645 



+ 38.288 

 -39.107 

 + 61.106 



+ 49.190 



w = .10 

 t= 120 



- 0*02 



+0.186 



-0.291 



+ 0.250 

 0.073 



+ 0.082 

 +0.031 



u>= 40 

 t= 120 



0*018 



+o.m:; 



-0.062 



+ 0.02 



-0.004 



+ 0.U01 



+0.00" 



The decided advantasre in the choice of a large value for the interval w is 



very obvious from these results. 



that these value 



of 



It is, however, important to he 



hered 



e 



effect 



are the result of a single error producing a 



niaxini 



The errors which occur ordinarily in the use of logarithmic tables are 



likely to be distributed 



th 



derabl 



ably 



each other to some extent. 



ty, and those errors will 



1> 



TABULAR VALUES OF THE LOGARITHMS OF THE FIFTH AND HIGHER POWERS OP THE TIME 



FROM 8 TO 120 TEARS. 



logts 



O.) 



4.51545 

 4.77121 



5.00000 

 5.20696 

 5.39591 



5.56972 

 5.73064 

 5.88046 

 6.02060 

 6.15224 

 6.27636 



6.39377 



6.50515 



6.61110 

 6.71211 



6.80864 

 6.90106 



log^ 



logC 



7.52575 

 8.0103O 

 8.40021 



8.74094 



9.03090 



9.28666 



9.51545 



9.72241 



9.91136 



10.08517 



10.24609 



10.39591 



9.03090 

 9.61236 

 10.08745 

 10.48913 

 10.83708 

 11.14399 



11.41854 



11.66690 

 11.89363 

 12.10220 

 12.29531 

 12.47509 



5.41854 

 5.72545 

 6.00000 

 6.24836 



6.47509 

 6.68366 

 6.87677 

 7.05655 

 7.22472 

 7.38269 

 7.53164 

 7.67252 

 7.80618 

 7.93332 

 8.05454 

 8.17037 

 8.28127 



6.32163 

 6.67970 

 7.00000 

 7.28975 

 7.55427 

 7.79760 

 8.02290 

 8.23264 

 8.42884 

 8.61314 



8.78691 

 8.95128 

 9.10721 

 9.25553 

 9.39696 

 9.53209 

 9.66148 



10.53605 

 11.21442 



11.7 



12.23732 



12.64326 

 13.00133 



13.321 03 



13.61138 



13.87590 

 14.11923 

 14.34453 

 14.55427 



log# 



7.22472 

 7.63394 

 8.00000 

 8.33114 



8.63345 

 8.9115". 

 9.16902 

 9.40873 

 9.63296 

 9.84359 



10.04218 



10.23003 

 10.40824 

 10.57775 



10.73938 

 10.89382 

 11.04169 



12.04120 

 12.81648 



13.44993 



13.98550 



14.44944 



14.85800. 



15.22472 

 15.55586 

 15.85817 

 16.13627 

 16.39374 

 16.63345 



\°g i 9 



8.12781 



8.58*18 

 9.00000 



9.37253 



9.71263 



10.02549 



10.31515 



10.58482 



10.83708 



11.07404 



11.29745 



11.50878 



11.70927 



11.*! '097 



12.08180 



log (<o 



9.0309(1 



9.54242 



10.0000" 



10.41898 

 10.79182 



11.13943 



11.40128 

 11.70091 



12.04120 



12.30449 



12.65272 



12.78754 

 13.01030 

 13.22219 

 13.42423 



12.25555 13.61728 

 12.42190 13. 211 



13.54635 



14.41854 

 15.13117 

 1 ."..73309 



16.25562 



16.71599 



17.12781 

 17.50034 



17.84044 



18.15330 



18.44296 



18.71263 



15.05150 

 16.02060 



16.81241 

 17.48188 



18.06180 

 18.57332 



1 9.03090 

 19.44483 

 1 9.82271 

 20.17033 



50.49218 



20.79181 



« i" 



9.93399 



10,19007 



11.00000 

 11.45582 



11.87099 

 12.25338 



log t<t 



10. ;7o« 



11.45091 



12.00000 



12.49671 



12.95017 

 13.36782 

 12.60741 I 13.75354 



12.93700 

 13.24532 

 13.58494 

 13.80800 



14.06629 



14.31133 



14.54441 



14.76005 

 14.97901 



15.18232 



14.11310 



14.44944 



14.7' t9 



15.( 327 



15.34504 



15.61234 



15.86063 



16.10907 



16.34078 



16.50253 



16.55665 



17.62206 

 1 8.49365 



19.23007 



19.-0798 

 20.43066 



20.93399 

 21.38031 



21.80498 



22.18737 



J2.54140 



18.06180 



19.22472 



20.17489 

 20.97826 



21.07410 



22.2*799 



22.83708 



23.33379 



23.78725 



24.20440 



24.59062 



22.87099 24.9501 



i 



