Proceedings of the Royal Society, 



281 



In the second chapter, the author, after briefly explaining by 

 algebraical reasoning, the mode of applying true principles to 

 calculations of annuities, proposes general tables for facilitating 

 this application in practice. These tables (which occupy 28 folio 

 pages, and represent the logarithms of the present values of an- 

 imities for every value of a certain argument), are actually cal- 

 culated, and annexed to the communication, forming the principal 

 part of the second chapter. 



Art. XIV. ASTRONOMICAL AND NAUTICAL COL- 

 LECTIONS. No. XXII. 



i. Further Examination of Captain Thomson's Tables, By a 

 Correspondent. 



It is thought right to submit to the public some further results 

 obtained from Captain Thomson's method of clearing the Lunar 

 Distance, the method of the Appendix to the Requisite Tables, 

 and Mr. Lax's method ; the examples before computed not being 

 sufficiently diversified to ascertain the comparative accuracy of 

 those methods in all cases. 



Dist. computed by 

 Mr. Lax's 

 method. 



O 



20 



6 45 



19 53 49i 



19 53 61 



