31 



EXAMPLE. 



October 26, 1803. — ^The observed difference of the differ- 

 ences- of AR. of the j's enhghtened limb, and « Aquarii at 

 Greenwich and Armagh observatories, was 59",38. S. T. Cor- 

 rection of observed differences from T. 1. — 2",10. leaving 

 the corrected difference of differences 57",28. = to 14',19". in 

 measure. The J's change of AR. in 12\ at the rate of the 

 mid-interval of the observations, was 6°. 30". and her horary 

 rate 32'.30". 



Solution by change of AR. in 12''. and assistant Logarithms. 



Assistant Logarithms of change of J , AR. in 1 Sh. - - -9.7337. 

 Prop. Log. of considered difference of differences 14'. 19". - 1.0994. 



Prop. Log. of 26'. 26". long. W 0.8S31. 



Solution by horary rate and proportional Logarithms. 



Ar. Comp. Prop. Log. of 32'. 30". 9.2566. 



Prop. Log. of 1 hour, 0.4771. 



Prop. Log. of considered difference of differences - 1 .0994. 



Prop. Log. of 26'. 26". long. W. 0.8331. 



Solution 



