

ATION Of A L< 



71 



h shows, being lest than 1, ilia ; all 



8 of x except those which sutisf\ tli.- rundit. 



rr*<*<~* 



the ellipse lies wholly on the positive side of its direc- 

 . and between t\\< lines which are parallel to the dirt-. 



F 



1':.. I 

 k 



1+e l- 



shows that as x increases 



and dist tn it 



and 



., let* = OM; then the factors (x - 



the two segments AM 

 sad MA' of the line 

 and geometri- 

 cally their product 

 equab the square of 

 the ordinate MQ of 

 the semicircle of which 



H the diameter. 



v the point P on 

 MQ be so oonsti 

 that MP = 

 4) above. 



.lUrly. any numbei of points on the curve can be constructed. Thb 

 method *hows also that the ordinates of an ellipse are less than, but in a con- 

 Htant ratio to, the corresponding ordinates of the circle of which the (Unmeet 

 U the line joining the vertioes of the ellipse. See also Note B. Appen 



* . M Q t then P is a point on the elli 





