Mifcellanea Cpriofa. 



Through n draw nr parallel to 

 Fig. 2, 3, 4. ab 9 then is the Angle rne equal to 

 emn and w, common to both : 

 Wherefore the Triangles emn and enr, and 

 confequently eoq, are fimilar, and Of a Circle by 

 the 2d Lcnuna. 



Wherefore, 



2, 3, 4. 2. That of all the Diameters of 

 any one of thofe great Circles to 

 be proje&ed, their Centers and Poles will be 

 found in that proje&ed Diameter, which con^ 

 hefts the two Interfe&ions of the Circle to be 

 projected-, and that other great Circle which 

 paiTes through the Eye, and cuts the Circle to 

 be projeSed at right Angles. 



DEFINITION, 



Which for Brevity's Sake is called the pro- 

 jefted Axis ; Thus oq is the proje&ed Axis. 1 a 



3. That all fmall Circles will have their 

 proje&ed Axis's in that Line, in which the pro- 

 je&ed Axis of the great Cifcle lies, to which 

 they are parallel. 



•* 4^ That t;he Serjiitangents of the greateft 

 and leaft pittances of any Circle from the re- 

 moter Pole of Projeftion, fetofF either on the 

 iame or contrary fides of the Center of Projecti- 

 on, as the Cafe dire&s, will give the Interfe&i- 

 ons or Extremities of the proje&ed Axis. 



5. That of every great or fmall Circle 

 within which the tole of Projection lies, their 

 Diameter or proje&ed A^is is equal to the 

 Sum of the Semi-tangents of their greateft 



and 



