H] 



i' -MI nuiy v. equations of the following 



urfaoM 



The sphere : with center at the origin, and radius r, 



/* + J* + *-r*; 



center at (a, o, \ it. 207, eq. (7; becomes 



- 



The cone: t lie surface generated by the right li 

 tated about the i-axis, 



The oblate spheroid: tin* surface generated l>y tin- ellipse 



+ = 1, rotated aUmt tin- minor axis, 

 O* Or 



++= ' ..... 



The prolate spheroid : the surface generated by the ellipse 



., -f = 1 rotated about the major axis, 



A- </ 



--h^-f--!. (11) 



P o a 1 



The hyperboloid of one nappe: the surface generated by 

 the hyperbola = 1, rotated about the conjugate axis, 



a- <- 



-^-^--- 1. 

 ^ 



The hyperboloid of two nappes: the surface generated by 

 1, 



4* y 



hyperbola = 1, rotatetl ,il.<>ut the tnuurertt axis, 

 a 1 6 s 



-p- 1 - 



See Chap. IV, where dbgnuns art given for the 

 rf the geoerml qumdric, with elliptloal ioMMui of 



