<p>I'm reading the <a href="http://developer.download.nvidia.com/CgTutorial/cg_tutorial_chapter08.html" rel="nofollow noreferrer">chapter 8</a> of the Cg tutorial and I could not understand 8.4.1 :</p>
<blockquote>
<p>Because all these coordinates lie in the plane of the same triangle, it is possible to derive plane equations for x, y, and z in terms of s and t:</p>
<p>A_0 x + B_0 s + C_0 t + D_0 = 0</p>
<p>A_1 y + B_1 s + C_1 t + D_1 = 0</p>
<p>A_2 z + B_2 s + C_2 t + D_2 = 0</p>
</blockquote>
<p>How are these equations derived?</p>

<3d><mathematics><normal-mapping>
How are the three plane equations derived in the NVIDIA's CG Tutorial chapter 8?
Cu2S
# How are the three plane equations derived in the NVIDIA's CG Tutorial chapter 8?

(Asked by: username_0 on 2018-10-23)

I'm reading the [chapter 8](http://developer.download.nvidia.com/CgTutorial/cg_tutorial_chapter08.html) of the Cg tutorial and I could not understand 8.4.1 :

> Because all these coordinates lie in the plane of the same triangle, it is possible to derive plane equations for x, y, and z in terms of s and t:
>
> A\_0 x + B\_0 s + C\_0 t + D\_0 = 0
>
> A\_1 y + B\_1 s + C\_1 t + D\_1 = 0
>
> A\_2 z + B\_2 s + C\_2 t + D\_2 = 0

How are these equations derived?

**Tags:** 3d, mathematics, normal-mapping

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## 0 answers

