410 Mr DAVIES on the Equations of Loci 



CORRECTIONS AND ADDITIONS OF MY FORMER PAPER. 



FROM oversight in transcribing for the press, or in correcting the proofs, 

 a few errors have crept into that paper, which I here take the opportunity 

 to indicate. I shall also supply certain defects in that paper, which were 

 almost inseparable from the circumstances under which it was written. 



P. 263, last word, for im- read ex- 



265> 1. 21, for occasional inquiries read unconnected inquiries 



267, 1. 15, for where greatest read where the greatest 

 ~~ 267, 1. 5 from bottom, for great force read equal force 



__ 268, 1. 14, bott. This is a mistake. JAMES BERNOULLI in another 

 place had noticed the identity of the methods, as I had mentioned in the 

 foot-note of p. 308. 



~~ 274, Cor. 6, for \ = ^. read < - 1. 



279, Eq. 16. might also be changed into a form more convenient for 

 some purposes by a process similar to that in (iv. 10.) 



280, If we divide all the terms of equation (6.) by cot \, cot \ it will 

 take a more convenient form, 



tan \, tan \, sin K,,K, 



COt (P=: 



. 



tan 2 \ 2 tan A, tan \ cos K a K, + tan 2 \ 



~~ 281, 1. 10, for | + K = FD, read | + K = ED, 



^ _ 14, For cot K /3, in the denominator, read cot K /?, 

 We may remark, that the double sign of eq. (5.) is purely from the ra- 

 dical, as the division which produces it was 



tan \ cos (3, K 





&6 



__ _ _ 



_ cot K (3, " 1 4- tan 2 \ cos 2 j8 K, and cos ft, K = cos K #. 



