OUTLINES OF NATURAL PHILOSOPHY. 



The eye is then supposed placed in the opposite 

 pole, and the other hemisphere is in like manner 

 represented. It is in this way that the Maps of 

 the World are usually* constructed. 



b. The stereographic projection has these two very 

 remarkable properties. 



1. All the circles of the sphere, both great and 



small, are represented by circles in this pro- 

 jection, 



2. Any two circles cut one another in the projec- 



tion, at the same angle in which they cut one 

 another on the surface of the sphere. Ac- 

 cordingly, the parallels of latitude in this pro- 

 jection cut the meridians at right angles. 



These properties contribute much to the simplicity 

 and beauty of the construction, which, however, 

 has this disadvantage, that the same area on the 

 earth's surface, is represented by a much larger 

 area near the equator, and especially towards the 

 edges of the projection, than at a greater distance. 

 Notwithstanding of this, the stereographic projec- 

 tion is well adapted to Maps of the World, or pf 

 Jarge portions of the globe. 



72. The construction called FLAMSTEED'S 

 Projection, (though it is rather a Developement 

 than a Projection),, is very well contrived for the 



representation 



