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Conversion:

Equations to convert from a Mdc Segment given in the coordinates: z, ρ, θ, φ to a straight equation.

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$ g: \vec{x} = \vec{r} + \lambda \cdot \vec{\alpha} $, $ \vec{r} = \left( \[ \begin{array}{c} \rho\cdot\cos(\phi) \\ \rho\cdot\sin(\phi) \\ z \end{array} \] \right)$, $ \vec{\alpha} = \left( \[ \begin{array}{c} \sin(\theta)\cdot\cos(\phi) \\ \sin(\theta)\cdot\sin(\phi) \\ \cos(\theta) \end{array} \] \right)$

$ g: \vec{x} = \left( \[ \begin{array}{c} \rho\cdot\cos(\phi) \\ \rho\cdot\sin(\phi) \\ z \end{array} \] \right) + \lambda \cdot \vec{\alpha} = \left( \[ \begin{array}{c} \sin(\theta)\cdot\cos(\phi) \\ \sin(\theta)\cdot\sin(\phi) \\ \cos(\theta) \end{array} \] \right) $

Last change by PeterZumbruch


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Topic revision: r1 - 01 Mar 2004, PeterZumbruch
 
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