MtfceUanea Curiofa. 



COROL I. 



If m be expounded by any Term of the 

 following Series, i, 3, 5, 7, % &c. the Qua- 

 drature of the Curve, whofe Ordinate is 

 m 



x 



— ~, is obtained in finite Terms by this 



\lrr-\-xx 

 Theorem. 



COROL. II, 



If n be expounded by any Term of the 

 following Series,. 1, 2, 3, 4, 5? 5, &c the 



— >2n 

 x 



Curve, whofe Ordinate is m - or 



—in 



x 



is fquar'd exadly by this Theo- 



V *rrr\~xx 

 rem. 



COROL. Ill 



If m be expounded by any Term of the 

 following Series, o, 2, 4, 6, 8, 10 , &c. the 

 Quadrature of the Curve, whofe Ordinate 



L 4 



