**comp.graphics.algorithms**

## Subject: **Re: common point of two planes**

jindra wrote:

> I need to compute a common point of two planes which are given by

>

Two planes in 3D (usually) intersect in a line. Never just in

a single point.

> general equations a1x + b1y + c1z + d1 = 0 and a2x + b2y + c2z + d2 =

> 0. Is there some easy way how to compute it without converting into

> parametric form and solving some system of equations ?

>

Without parametric form - sure: just use Gaussian elimination and

you get the generic equation of the intersection line.

Without any kind of solving a system of equation - no.

Any algorithm solving your problem *is* a solver for a system

of equations, by the very definition of your problem.

Przemek

--

"Beauty is the first test: there is no permanent place

in the world for ugly mathematics." G.H. Hardy

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