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Paul
11/02/12 05:44am

Hello,

I'm trying to find the intersecting line of two planes.

[IMG]http://wauzie.com/twoplanes.JPG[/IMG]

Both planes are parametric. The curve they are making in the XY plane is defined by the variable u2 (0->150). The other direction of the plane is defined by the variable v2 (for the upper plane) and v3 (for the lower plane).

To find the intersection line I'm trying to get the following for x,y and z:

v2 = ....v3=.....u2

That way I can replace both v2 and v3 in one of the two plane functions with functions only described by u2.

I'm stuck in the process when I try to solve the following equation (lengte, offsetgevelxy are both constants):

Solve[{lengte (1 - 0.5 u2) u2 +
offsetgevelxy (-2 + u2) u2 (-1 + (
offsetgevelxy (-2.` + 1.` u2) + (40.` - 20.` u2) v3)/(
offsetgevelxy (-2.` + u2))) ==
u2 (lengte (1 - 0.5 u2) + (40 - 20 u2) v3)}, v3]

The output is just {}.
How can I solve this problem? Or is there an easier way to get the intersection line?

These are the functions of the two planes (x01,y01 for plane 01 and x02,y02 for plane 2 (I left out z01 and z02, since they are too large to display here properly):

x01 =
0.` + lengte (1.` - 0.5` u2) u2 + offsetgevelxy (-2 + u2) u2 (-1 + v2)
x02 = u2 (lengte (1.` - 0.5` u2) + (40.` - 20.` u2) v3)

y01 =
0.` + breedte (-0.5` + 0.5` u2^2) -
offsetgevelxy (-1 + u2^2) (-1 + v2)
y02 = 0.` + breedte (-0.5` + 0.5` u2^2) + (-20.` + 20.` u2^2) v3




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Subject (listing for 'Finding intersecting line')
Author Date Posted
Finding intersecting line Paul 11/02/12 05:44am
Re: Finding intersecting line Bill Simpson 11/02/12 1:58pm
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