The Engineering ToolBox Web Google

Elementary Curves

Ellipse, Circle, Hyperbola, Parabola - Parallel, Intersecting and Coincident Lines

Sponsored Links

The simplest curve is the straight line. The next complexity are the second degree or conics curves.

Non-degenerate Conics

Ellipse

x2/a2 + y2/b2 = 1        (1)

where

a, b = intrinsic parameters

Circle

Circle, a special ellipse, can be expressed as

x2 + y2 = a2       (2)

where

a = radius

Hyperbola

x2/a2 - y2/b2 = 1        (3)

where

a, b = intrinsic parameters

Parabola

y2 - 2 l x = 0       (4)

where

l = intrinsic parameter

Degenerate Conics

Parallel Lines

x2 - a2 = 0        (5)

where

a = half the distance between the parallel lines

Intersecting Lines

x2/a2 - y2/b2 = 0        (6)

where

tan-1(b/a) = half the angle between the intersecting lines

Coincident Lines

x2 = 0        (7)

Sponsored Links

Related Topics

  • Mathematics Mathematical rules and laws - areas, volumes, exponents, trigometric functions and more

Sponsored Links



Engineering ToolBox - SketchUp Edition - Online 3D modeling!

Engineering ToolBox - SketchUp Edition - enabled for use with the amazing, fun and free Google SketchUp.


Search the ToolBox

Google
Web The Engineering ToolBox

© The Engineering ToolBox 2005

9 11 11

handheld Engineering ToolBox - optimized for mobile devices! 3D Engineering ToolBox - draw and model technical applications!


.
Resources, Tools and Basic Information  for Engineering and Design of Technical Applications!

Resources, Tools and Basic Information for Engineering and Design of Technical Applications!