\\lll CO.N // N / S 



III. 



193. ivfinition 3'j:> 



194. The spiral of Archimedes :'-'> 



105. The reciprocal, or hyp: iral .... 



196. The paraln.lic ai.ini! 



197. The lituus or trumpet 



198. The logarithmic spiral 329 



PART II. -SOLID ANALYTIC GEOMKT1IY 

 OHAPTEB I 



COOKIHNATK MMIM-. Tin. I'oiNT 



199. Introductory 331 



200. Rectangular coordinates 332 



201. Polar coordinates 



202. Relation between the rectangular and polar systems 



203. Direction angles: direction cosines 884 



204. Distance and direction from one point to another; rectangu- 



lar coordinates 336 



205. The point which divides in a given ratio the straight lin<- 



from one point to another 



206. Angle between two radii vectores. Angle between two lines 338 



207. Transformation of coordinates ; rectangular systems . . 339 



CHAPTER IT 

 THE Locrs OF AN K^I-ATION. SURFACES 



208. Introductory 849 



209. Equations in one variable. Planes parallel to coordinate 



planes 811 



210. Equations in two variables. Cylinders perpendicular to < 



dinate planes 344 



211. Equations in three variables. Surfaces 346 



Curves. Traces of surfaces 347 



213. Surfaces of revolution 31s 



