[ 5' ] 



in like manner it may be Ihcwn 



that C V : : e7n:: bn: ap 



or i: a-\- o: : a + o . a + o 

 hence /— o" = a a— a d—do + 00' 



and a" + o" = aa'+ao' ^ do + 00 

 and '.'a=ad + o 0' and 0" = a o' + do. Q. E. D. 



From the fimilitude between thefe theorems and thofe for the 

 fine and cofine of the fum of two circular arcs, it is unnecefTary 

 to point out how every thing may be deduced for multiple hy- 

 perbolic areas in the fame manner as was done for multiple 

 circular arcs. 



G 2 



