theTrapeziumGBDCsAONM. ButGBDG 

 a GMC — 1 BMD « -iBM«« SZ- 

 i HA* ; but HA a sl% AO? from the Nature 

 of the C urve HG Q, therefore GBD G p S2 

 ^ AO? a AOxMN ^ AO? aAOx MN - AO 

 fe ME x MN - ME sME x EN. There- 

 fore alfo AONM 5=s ME x EN. Q E..D. 



When I applied my Method to thefe fort 

 of Figures, I found that a Miftake had 

 fome way or other crept into M. Bernoulli's 

 Calculus. For in his moft excellent Trad 

 of the Principles of the Differential Calculus^ 

 he affigns to the Figure whofe Equation is 



a* j=: yA this for its Quadrature, viL — * 



where y denotes the Abfciffe and & the Or- 

 dinate, 



la 



w l y~yy 



whereas the Area of that Figure is 



M 4 



