centrepoint, starting and ending point of tangential fillet/arc between 2 lines

Question

What is the formula to calculate the centrepoint, starting and ending point of a tangential arc at a given radius between 2 lines Ax1,Ay1,Az1 : Ax2,Ay2,Az2 and Bx1,By1,Bz1 : Bx2,By2,Bz2.

The lines intersect.

score 2 · Accepted Answer · edited May 23 '17 at 11:43

2

Let's intersection point is P, and unit direction vectors (norm in the code from above link) of A and B lines are dA and dB respectively. Then tangential points and arc center are (four solutions):

T1 = P +- dA * R

T2 = P +- dB * R

C = T1 + T2 - P

edited May 23 '17 at 11:43

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answered Mar 16 '15 at 05:51

MBo

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centrepoint, starting and ending point of tangential fillet/arc between 2 lines

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