MtfceUanea Curiofa. 2 7J 



PROP. III. THEOREM. 



(Fig. $5.) The Hyperbola, AH continuing 

 as before, if through A be drawn the 

 right Line GAL perpendicular to the 

 Axis AB, and the Curve KR be de- 

 fcriPd of fuch a Nature, that BK be 

 a third proportional to BH and AC, 

 and to the right Line AC be applied the 

 Rectangle AV equal to the Interminate 

 Space ABKRLA; then fh all the Point 

 F ( the Concourfe of the right Lines 

 HB, VG) be in the Catenaria. 



For by Conftru&ion BK = ■ — — , 

 wherefore the Fluxion of the Space 

 ABKRLA (-BKkb^BKxBb) = 



Space ABKRLA 



And fince BF — , and AC 



AC 



is given, the Fluxion of BF fhall = 

 the Fluxion of the Space ABKRLA 



AC 



