314 ESSAYS AND OBSERVATIONS 



From thisy the following conJlruSlion may he 

 deduced. 



CONSTRUCTION. 

 In the femicircle take the point F, and 

 let the arc AFB be to the arc BF 

 as^ is to ^; join CF, DF, and draw 

 CG parallel to DF, meeting FG, a 

 tangent to the circle, at F in G ; and 

 the circle in K; join DG meeting the 

 circle in H, and join FK, DK ; draw 

 the line DE[Trop. ^.] meeting the 

 circle in E, lb that the fe6lor KDE 

 may be to the feftor EDH as the 

 ' fpace KEFK to thefpace GFHG: 

 the femicircle will be to the fedor 

 BDE as^is to<^. 



Because the fedor KDE is to the fedor 

 EDH, as the fpace KEFK to the fpace 

 GFHG ; the fedor EDH will be to the 

 fedor KDH, as the fpace KEFK to the fum 

 of the fpaces KEFK, GFHG : but, becaafe 



the 



