io8 ESSAYS AND OBSERVATIONS 



fedor ACE is lefs than the feftor ADF j 

 therefore the fecftor BCE is greater than the 

 fedor BDF : and, becaufe the fedor ACE to- 

 gether with the fe6lor BCE, is equal to the 

 fedor ADH together with the fedor BDH, 

 and the fedor ACE is greater than the fedor 

 ADH ; therefore the fedor BCE will be lefs 

 than the fedor BDH. 



PROP. III. Probl. I. iv^. 3. 



Let there be a given circle AEB, and 

 let D be a given point within the 

 circle; and. from D let there be 

 drawn DE, DF, to two given 

 poihts, E, F, in the circle : granting 

 the quadrature of the circle, it is 

 required to draw a line DG meeting 

 the arc FE in G ; fo. that the fe6lor 

 EDG may be to the fector GDF in 

 a given ratio, fuppofe that p£m to 72, 



Let C be the center of the circle, and join 

 CE, CF J draw DH, DK, perpendicular tQ 



