46 



SUPPLEMENT. 



Hence, for 



Mercury and Venus, 

 Mercury and The Earth, 

 Mercury and Mars, 

 Mercury and Jupiter, 

 Mercury and Saturn, 

 Mercury and Uranus, 

 Mercury and Neptune, 



Venus and The Earth, 

 Venus and Mars, 

 Venus and Jupiter, 

 Venus and Saturn, 

 Venus and Uranus, 

 Venus and Neptune, 



The Earth and Mars, 

 The Earth and Jupiter, 

 The Earth and Saturn, 

 The Earth and Uranus, 

 The Earth and Neptune, 



Mars and Jupiter, 

 Mars and Saturn, 

 Mars and Uranus, 

 Mars and Neptune, 



Jupiter and Saturn, 

 Jupiter and Uranus, 

 Jupiter and Neptune, 



Saturn and Uranus, 

 Saturn and Neptune, 



Uranus and Neptune, 



« = 0.5351603 

 « = 0.3870987 

 « = 0.2540532 

 a = 0.0744020 

 a = 0.0405813 

 « = 0.0201787 

 a = 0.0128875 



« = 0.7233323 

 a = 0.4747236 

 a = 0.1390275 

 « = 0.0758301 

 a = 0.0377058 

 « = 0.0240815 



a = 0.6563009 

 « = 0.1922042 

 « = 0.1048344 

 « = 0.0521279 

 « = 0.0332925 



a = 0.2928598 

 a = 0.1597353 

 « = 0.0794269 

 a = 0.0507275 



a = 0.5454325 

 a = 0.27121 13 

 o = 0.1732142 



a = 0.4972408 

 « = 0.3175722 



log a = 9.7284839 

 log «=: 9.5878217 

 log « = 9.4049247 

 log a = 8.8715845 

 log a = 8.6083254 

 log « = 8.3048923 

 log « = 8.1101680 



log a = 9.8593378 

 log a = 9.6764408 

 log a= 9.1431006 

 log « = 8.8798416 

 log a = 8.5764084. 

 log « = 8.3816841 



log a = 9.8171030 

 log a = 9.2837628 

 log « = 9.0205037 

 log « = 8.7170705 

 log a = 8.5223463 



log a = 9.4666598 

 log a = 9.2034008 

 log a = 8.8999676 

 log a = 8.7052433 



log « = 9.7367410 

 log a = 9.4333078 

 log « = 9.2385835 



log « = 9.6965668 

 log a = 9.5018425 



log 03 

 log 02 



log0 2 

 log 02 



log/3 2 



log 02 



log0 2 



log 2 

 log s 

 log0 3 

 log 2 

 lo g 2 

 log0 2 



log0 2 

 log/5 2 

 log 2 

 log0 2 

 log0 2 



: 9.6035107 

 : 9.2461455 



: 8.8388256 

 : 7.7455797 

 : 7.2173667 

 : 6.6099614 

 : 6.2204080 



: 0.0403481 



: 9.4637832 

 : 8.2946777 

 : 7.7621877 

 7.1534347 

 : 6.7636201 



; 9.8788884 

 8.5838733 

 8.0458069 

 7.4353228 

 7.0451741 



log 2 = 8.9722626 

 8.4180265 

 7.8026836 

 7.4116055 



log 2 = 

 log0 2 



lo g 2 



lo g 2 

 log 2 

 log0 2 



lo g 2 



lo g 2 



9.6268336 

 8.8997962 

 8.4903967 



9.5164820 

 9.0498539 



« = 0.6386689 log a = 9.8052757 log 2 = 9.8381548 



With these values of a and /3 2 we enter the Tables and take out the required 

 coefficients, which are found on the following pages. 



