Editing Plane curve (section)

==Examples==

Numerous examples of plane curves are shown in [[Gallery of curves]] and listed at [[List of curves]]. The algebraic curves of degree 1 or 2 are shown here (an algebraic curve of degree less than 3 is always contained in a plane):

{| class="wikitable"
|-
! Name
! [[Implicit equation]]
! [[Parametric equation]]
! As a [[function (mathematics)|function]]
! graph
|-
| [[Line (geometry)|Straight line]]
| <math>a x+b y=c</math>
| <math>(x,y)=(x_0 + \alpha t,y_0+\beta t)</math>
| <math>y=m x+c</math>
| [[File:Gerade.svg|frameless|100px]]
|-
| [[Circle]]
| <math>x^2+y^2=r^2</math>
| <math>(x,y)=(r \cos t, r \sin t)</math>
|
| [[File:Centre de gravite disque.svg|framless|100px]]
|-
| [[Parabola]]
| <math>y-x^2=0</math>
| <math>(x,y)=(t,t^2)</math>
| <math>y=x^2</math>
| [[File:Parabola.svg|frameless|100px]]
|-
| [[Ellipse]]
| <math>\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1</math>
| <math>(x,y)=(a \cos t, b \sin t)</math>
| 
| [[File:Simple Ellipse.svg|framless|100px]]
|-
| [[Hyperbola]]
| <math>\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1</math>
| <math>(x,y)=(a \cosh t, b \sinh t)</math>
|
| [[File:Hyperbola.svg|frameless|100px]]
|}