336 Mifiellanea Curiofa. 



than it from AF* In AB (which I put = 1) 

 let B d be fuch a Part thereof, as is B 5 of D H. 

 Now becaufe (as is, well known) all the infcri- 

 bed Parallelograms, in the Exterior Hyperbola, 

 AS 9 AH, &c. are equal j and therefore their 



fides reciprocal ; Therefore as Ad p I 



(fuppofing B d to be taken, from B towards A J 

 to AB = i> (or as m — 1 to m ; fo is B S 



I 1 i 

 — i-DH, to «*— l)l( h ^&C. 



1 



m 



dh, which is 

 therefore equal 



t0 —L- of DH; 



that is (as .will 

 appear by divi- 

 ding 1, by m 



- $ to i H " 



of DH. 



Or if Bd be 

 taken beyond 



then as A d = 

 j «— - to 



1 

 m 



1 



mm m 



m 



I 



J73W 



mm 

 t 



mm 



i 



mmm 



mtnm 



&c. 



m 



= I, or as 



m ~h 1 to w, fo is ioH to &j 



DH; that is 



which is therefore equal to 

 (as will appear by like dividing of I by m -J- 1 j) 



* ^ * ii. Let 



