Mifcellanea Curiofa. 



5» The Pole of any Circle, whether Great 

 or Small, is that Point upon the Surface of the 

 Sphere, which is every way equally diftant from 

 the Circumference. 



Whence it follows. 



Corol. i. That every Circle defcribed upon 

 the Superficies of the Globe has 2 real Poles. 



And fince every fmall Circle is equi-diftan£ 

 from fome one great Circle, it follows, 



2. That the Poles of every fmall Circle are 

 the fame with the Poles of thofe great Circles, 

 to which they are parallel. 



3- Wherefore all fmall Circles parallel to 

 ,each other, have the fame common Pole, 



General Definition. 



Conceive the Eye placed fomewhere in the 

 Superficies of the Globe, and at the fame time 

 a Plain to cut the Globe, and to Hand at right 

 Angles to the Line conneding the Centers of 

 the Globe and Eye. If infinite right Lines be 

 imagined to flow from the Eye, to every Point 

 in the Circumference of every Circle defcrib'd 

 on its Surface, they will trace out upon the 

 Cutting Plain what is called a Stereographick 

 Proje&ion of the Sphere. 



Whence, and 1 from the firft Corollary of the 

 Definitions, it follows. 



Corol. 1. That the Eye is placed in one of the 

 Poles of that great Circle through which the 

 Plain pafles, and upon which the Proje&ion is 



E 2 tQ, 



