224 Mtfcellanea Curio [a t 

 miaxis of the Equilateral Hyperbola, whofe 

 Vertex is A, and Whofe Ordinate belonging 

 the Abfcifle'AB, is equal to the Catena AD. 



COROL lit i 



All the Ckenarm are fimiiar to one ano- 

 ther % as being generated from the Ilmilar 

 Conftru&ion of Similar, and fimilarly pofited 

 Figures. From whence it follows, that two 

 tight Lines fimilarly inclin'd to the Horizon, 

 carried thro 7 the Vertices of the Catenaria, will 

 cut offfimilar Figures, and proportional to the 

 Lines cutting off the Portions of the Cate- 

 ntria. 



COROL. XV. 



If the Catena QAD be fufpended on the 

 points Q_ and D, which are unequally high, 

 the part FAD of the Curve remains the fame 

 as if it were fufpended by the points F and 

 D, which are equally high. For it is no 

 matter, whether the point be fix'd to the 

 Vertical Plane or not; 



CORO L. V, 



If the force of the 'Ckttm drawing in the 

 Direaion dp, be divided .(as is commonly 

 known) into the force as dj^ a<fling with an 

 Horizontal Direaion, and the force as 

 with a perpendicular Direaion : Then it fol* 

 lows, that the force (in the end of the Ca- 



nna) 



