194- Mijcellanea Curiofa. 

 Ellipfe from an Area given to be cut from 

 any Point in the Axis : But to make a par- 

 ticular Application of it, I'll fupi»fewe 

 this Problem to folve; yf, The Chord of 

 an Arc being given, to find the Chord ot 

 another Arc, that fhall be to the firft as 

 » to i. Let 7 'be the Chord given, _a the 

 Chord required •, now the Arc belonging to 



, y 3 , 3> 5 _ , i£j 

 the Chord y is, j + ^3 + ^4 rr" , lld 6 



&c. and the Arc belonging to the Chord £ 



theft Arcs is to the fecond as ^ i to 

 therefore multiplying the Extreams and 

 Means together, we fhall have this Equa- 

 tion : 



* 1 ,6dd ' 40^ 1 H2^ 6 J 6dd 



&c« 



~ r 40^ I 1 ^ 6 



Compare thefe two Series with the two 

 Series of the Theorem, and -you will find 



n $n 



m—o 7 &o iienee z, will be + 



&c. or »y + ™^^^M Suppofing ^ 



to 



