Parabolas
A way to trace out them:
the points equidistant from
a point (the focus) and a
straight line (the directrix)
Ellipses
PF
1
+PF
2
= 4.9
Hyperbolas
A way to trace out them:
PF
1
−PF
2
= 1
All conics can be described as follows:
a·x
²
+ b·x·y + c·y
²
+ d·x + e·y + f =
0
b
²
−4
ac
= 0
b
²
−4
ac
< 0
b
²
−4
ac
> 0
x
²
+y
²
−2yx+2y+2x+1 = 0
,
x
²
−xy+y
²
/3 = 1
,
x
²
−4xy+y
²
/3 = 1
or so:
ρ
= 1/(1+
e
·cos(
θ
)