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Asked: 2026-05-21T22:18:22+00:00

Through 2 given points runs a line (K1 and K3). I want to compute

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Through 2 given points runs a line (K1 and K3). I want to compute (find) 2 others points (X1,X2), which are parallel to given points. Also I have center point(K2) between first and last point on this line.

Illustration

I have K1,K2 and K3

How to find X1 and X2? I’m coding in C# in WPF, and I don’t know how to solve this problem… please, help me

Roberto

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1 Answer

  1. Editorial Team

    The vector tangential to your original line has the components

    t_1 = K3_1 - K1_1
t_2 = K3_2 - K1_2

    A normal vector to this line would be

    n_1 = t_2
n_2 = -t_1

    The length of the vector n is equal to the distance from K1 to K2. Since you actually want a quarter of this distance, your final result is

    X1_1 = K1_1 + 0.25 * n_1
X1_2 = K1_2 + 0.25 * n_2
X2_1 = K2_1 + 0.25 * n_1
X2_2 = K2_2 + 0.25 * n_2

    Note that you could choose the opposite sign for n, in which case you’d end up with a parallel line translated by the same distance in the opposite direction.

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