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

  1. Aug 11, 2007 #1
    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
     
  2. jcsd
  3. Aug 11, 2007 #2
    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.
     
  4. Aug 11, 2007 #3
    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
     
  5. Aug 11, 2007 #4

    uart

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    Hi velanvelam, are the two lines assumed to be co-planar (that is, are they known to intersect).
     
    Last edited: Aug 11, 2007
  6. Aug 12, 2007 #5

    Dick

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    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?
     
  7. Aug 13, 2007 #6
    No, the two lines are not in the same plane.

    regards
    velan
     
  8. Aug 13, 2007 #7

    HallsofIvy

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    Since this is also posted in the homework thread, I am joining the two.
     
  9. Aug 13, 2007 #8

    Dick

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