Difference between revisions of "Surface types"

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(Planes)
(Elementary surfaces)
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| ''A, B, C, D''
 
| ''A, B, C, D''
 
| <math>S(x,y,z) = Ax+ By + Cz - D</math>
 
| <math>S(x,y,z) = Ax+ By + Cz - D</math>
| General plane
+
| General plane in parametric form
 +
|-
 +
|
 +
| ''x<sub>1</sub>, y<sub>1</sub>, y<sub>1</sub>, x<sub>2</sub>, y<sub>2</sub>, y<sub>2</sub>, x<sub>3</sub>, y<sub>3</sub>, y<sub>3</sub>''
 +
|
 +
| General plane defined by three points
 
|-
 
|-
 
|}
 
|}

Revision as of 11:27, 23 February 2016

Elementary surfaces

Planes

Surface name Parameters Surface equation Description
py x0 S(x) = x - x_0 Plane perpendicular to x-axis at x = x0
pz y0 S(y) = y - y_0 Plane perpendicular to y-axis at y = y0
px z0 S(z) = z - z_0 Plane perpendicular to z-axis at z = z0
plane A, B, C, D S(x,y,z) = Ax+ By + Cz - D General plane in parametric form
x1, y1, y1, x2, y2, y2, x3, y3, y3 General plane defined by three points

Cylinders

Derived surface types

Prisms