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Velislav Nikolov

GC 05 - Construct A Line Parallel To An Existing Line With Desired Offset

Here's another way of building a parallel line:



Needed analogue tools:

  • Dividers

  • Pencil

  • Straight Edge

  • Eraser

 

Given:

  • Line A-B

  • m-n: Desired offset distance

Desired:

  • Line C-D (with an m-n offset distance)


  1. Measure line m-n with your dividers. Place one leg on B, the other on line A-B. Mark that new intersection as a.

  2. Draw an arch with center a and radius m-n.

  3. Mark b at the new intersection of the arch and line A-B.

  4. With the divider's stretch of m-n, set one leg on point b and the other on the arch (Step 2).

  5. Mark the new interesection of the dividers and the arch as c.

  6. Connnect with a straightedge points b and c.

  7. Continue that same b-c line upwards till b-c euqals c-d.

  8. Connect d and a.

  9. Mark point e at the intersection of d-a and the arch (Step 2).

  10. Continue line d-a further down. Measure distance e-a with the dividers. Set one leg on a and the other on the extended line d-a. Mark that new intersection as f.

  11. Using the straightedge, draw a line starting from f with any angle/direction. Make sure it crosses line A-B.

  12. Mark the new intersection as h.

  13. Measure distance f-h with your dividers. Set one leg on h and the other on the line. Mark a new point g where the second leg crosses the line (Step 11).

  14. Place the straighedge on points g and e and draw a line. Mark points C and D anywhere along the path.

This new line C-D parralels line A-B at a distance m-n.

 

You can download the CAD and GH (Rhino/Grasshopper) files here:


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