C5: Analytical geometry - representing points and curves

Analytical Geometry (PDF*926kb)
  Introduction  p. 7 
5.1  Describing points in space
5.1.1        rectangular coordinates
5.1.2        polar coordinates
5.1.3        vectors 
p. 8
p. 8
p. 8
p. 13 
5.2 Describing straight lines
5.2.1        equations of a straight line
5.2.2        distance between points  
5.2.3        mid-point of a line  
p. 22
p. 22 
p. 27
p. 30
5.3  Describing other curves
5.3.1        circles  
p. 32
p. 32 
5.4 

Transformations
5.4.1        transforming points
5.4.2        transforming straight lines
5.4.3        transforming parabolas
5.4.4        transforming other curves
5.4.5        transforming circles      

p. 37 
p. 37
p. 46
p. 53
p. 58
p. 63
5.5  A taste of things to come  p. 73 
5.6 Post-test  p. 77
5.7 Solutions p. 80