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Velislav Nikolov

GC 04 - Construct A Parallel Line Running Through A Given Point & Parallel To Given Line

Ever wondered how to draw a line parallel to given line and have it run through a predetermined point?



Needed analogue tools:

  • Dividers

  • Pencil

  • Straight Edge

  • Eraser

 

Constructing A Parallel Line Running Through A Point & Parallel To Another Line:

Given:

  • Line A-B (or say 2x4 piece)

  • Point C some distance off Line A-B

  1. Set one leg of your dividers on point A, choose arbitrary radius.

  2. Draw another circle with the same radius on point C.

  3. Draw a line connecting points A and C, making sure the line crosses the second circle in Step 2.

  4. Mark point F at the intersection of the line (Step 3) and the circle (Step 2).

  5. Mark point D where the first circle (step 1) and line A-B intersect.

  6. Add another one, E, where Step 1 circle crosses line A-C (Step 3).

  7. Using the dividers, measure the D-E distance.

  8. Draw a circle at F with radius D-E.

  9. This circle and the one we built in Step 2 cross each other. Mark that as G.

  10. With the straightedge and pencil draw a line passing through C and G.

The resultant line, C-G, should be parallel to the line A-B, passing through C.

 

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


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