Parabolas

 
A way to trace out them:
the points equidistant from
a point (the focus) and a
straight line (the directrix)
  

    Ellipses

PF1+PF2 = 4.9      

    Hyperbolas

     A way to trace out them: 


PF1−PF2 = 1


 
All conics can be described as follows:
 
a·x² + b·x·y + c·y² + d·x + e·y + f = 0
 b²−4ac = 0    b²−4ac < 0    b²−4ac > 0
x²+y²−2yx+2y+2x+1 = 0, x²−xy+y²/3 = 1 x²−4xy+y²/3 = 1
 
    
        or so:

ρ = 1/(1+e·cos(θ)