This instructable seeks to provide a method by which a line segment may be easily divided into as many equal segments as required using little more than parallel lines. The technique relies on properties of similar triangles. The technique can also be adapted to subdivide into unequal parts, but requires an additional step.
This method works well in all CAD packages tested, though may feel cumbersome for board drafting, as it requires apx. 2N construction lines.
This is not a lesson in how to use CAD or how to do manual drafting, so there won't be specific information on how to accomplish each task. Rather the general idea will be conveyed.
CAD Required List:
-End Point and Line Intersection Snapping
Board Drafting Required List:
-Scale (Ruler, Optional needed for unequal subdivisions)
-Rubber Band, Elastic Material (Optional, Cheating Apx. Method)
See page 10 for other suggested techniques.
Step 1: Locate Line to Subdivide
Step 2: Add First Reference Line
Step 3: Copy Reference Line
Copy and/or Array functionality should be used for CAD
Parallel Rulers should be used for Board Drafting
The only requirements for the spacing are that the lines do not remain co-linear and the end of the last line must not be on the Black line.
If you wish to create unequal spacings go to step 9.
Step 4: Connect Opposing Corners of Reference Array
Step 5: Draw Base Subdivision Line
Step 6: Array the Subdividing Lines
Step 7: Mark Subdivisions
Step 8: Clean Up and Finished
Step 9: Dealing With Unequal Spacing
Step 10: Additional Methods
If board drafting you can cheat by using an elastic material. Mark a start point on the material then measure out the reference lines and mark them on the elastic just like you would on the paper. When the elastic is then stretched, for the most part the proportions are maintained and they can be transferred directly to the line, though it won't be perfect do to inherent material flaws, it will be good enough most of the time.
snoyes recommended the following technique found in a woodworking magazine.
This method actually requires only half as many steps in the case of board drafting. Though, it requires a scale and a drafting square be used. However, for CAD the technique may require more work.
- Draw a line perpendicular to one end-point of your segment
- Place one end of your ruler at the other end-point.
- Rotate the ruler until the number crosses the perpendicular line. So if you want 5 segments, put the 5 (inch or cm or whatever) on the perpendicular line.
- Mark a point at each number along your ruler.
- Drop a perpendicular from each mark to your segment.