Partition line into equal parts

Question

This is a geometry question.

I have a line between two points A and B and want separate it into k equal parts. I need the coordinates of the points that partition the line between A and B.

Any help is highly appreciated.

Thanks a lot!

Answer 1

You just need a weighted average of A and B.

C(t) = A * (1-t) + B * t

or, in 2-D

Cx = Ax * (1-t) + Bx * t
Cy = Ay * (1-t) + By * t    

• When t=0, you get A.
• When t=1, you get B.
• When t=.25, you a point 25% of the way from A to B
• etc

So, to divide the line into k equal parts, make a loop and find C, for t=0/k, t=1/k, t=2/k, ... , t=k/k