1 82 jMifcelZanea Curio fa. 



(in all thefe Figures) in the aforefaid Ratio 

 of m toa-y and their Portions pqt, as the 

 verfed Sines of the intercepted Arches qt \ 

 but the remaining Segments as qtrA, qtr*, &c. 

 will be as the right Sines of the Compli- 

 ments of the fame Arches qt. 



But the Ratio of the Velocities, m to ^, is 

 compounded of the Ratio of the Radii KB, 

 BE, and the Ratio of the Angles -CKE, 

 VEZ, equably defcrib'd together ; and con- 

 fequently giving that Ratio of the Angles, 

 all the foremention'd Epicycloidal Spaces 

 will be fquar'd alfo. 



I can eafily draw Tangents to all thefe 

 Curves, as alfo I feem to my felf to have 

 gotten their Rectifications, from fome Areas 

 Analogous to them ; which may give occa- 

 fion to a more particular handling of this 

 Family of Curves another time* 



A 



