



Ml 



1 f Z AOQ is any angle at the center of the ellipse, with 

 11 tli.- major axis, and the tormina! aide cut- 

 ting the auxiliary circle* /.' und Q, respectively ; and if 



Fta.107. 



intense. -t ion ,,f the abscissa LR with the ordinate 

 ien P is a point on the ellipse. 

 lie coordinates of P are 



r = <ieos<, y hinfa . . . [60] 



Now these values satisfy the equation of the ellipse ; for, 

 tiling them in equation (1), gives 



P i l of the ellipse. 



The jxnnts P, Q* and 7? are called corresponding points, 

 angle is the eccentric angle of the point /': and the 



^ --. ^^ . ^^^~^ -- ^~~--^^^^m- ~~-~^m ~-^^^~ 



The eccentric angle of any given point P on an ellipse te readily con- 

 thrau*:!.- 1O^ l Ite teOfAtrt M|S> -: ti.i |-.-;n: r. 



