Joining two lines(3D) with a circular arc fillet

[velanvela]

Hi all,
I have two lines in three dimensional form [P1(x1,y1,z1),P2(x2,y2,z2), and P3(x3,y3,z3), P4(x4,y4,z4) ] joined by a fillet, with known radius. i want to know the, start of the fillet(bend), end of the fillet, center of the fillet in a mathematical expression. with the above solution, i can formulate in a C program for further use. Thanks in advance.

regards
velan

 

[dontdisturbmycircles]

Please read or at least glimpse over all the stickies in the sub-forums for which you post for the first time. Problems like these belong in the homework help subforums.

 

[velanvela]

Hi all,
I have two lines in three dimensional form [P1(x1,y1,z1),P2(x2,y2,z2), and P3(x3,y3,z3), P4(x4,y4,z4) ] joined by a fillet, with known radius. i want to know the, start of the fillet(bend), end of the fillet, center of the fillet in a mathematical expression. with the above solution, i can formulate in a C program for further use. Thanks in advance.

regards
velan

 

[uart]

Hi velanvelam, are the two lines assumed to be co-planar (that is, are they known to intersect).

 

[Dick]

If by fillet you mean an arc segment tangent to the two segments, what makes you think such a thing even exists if the two segments aren't coplanar?

 

[velanvela]

No, the two lines are not in the same plane.

regards
velan

 

[HallsofIvy]

Since this is also posted in the homework thread, I am joining the two.

 

[Dick]

No, the two lines are not in the same plane.

regards
velan

The arc itself defines a plane. If the two segments are not coplanar then the arc can't be tangent to both.