Unit 1ProjectionsHARD

Locus of Point Moving on Two Planes

A point moves such that it is always 30mm from HP and 40mm from VP. Draw the locus of the point in all quadrants.

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Solution Diagram

Solution diagram for Locus of Point Moving on Two Planes
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Step-by-Step Construction

  1. 1

    Point maintaining constant distance from HP forms a plane parallel to HP

  2. 2

    Point maintaining constant distance from VP forms a plane parallel to VP

  3. 3

    Intersection of these two planes is a straight line (the locus)

  4. 4

    In 1st quadrant: 30mm above HP, 40mm in front of VP

  5. 5

    In 2nd quadrant: 30mm above HP, 40mm behind VP

  6. 6

    In 3rd quadrant: 30mm below HP, 40mm behind VP

  7. 7

    In 4th quadrant: 30mm below HP, 40mm in front of VP

  8. 8

    Draw the locus in all four quadrants

Pro Tips

  • •Always verify your measurements with a scale before finalizing the drawing
  • •Use construction lines lightly and darken the final solution
  • •Label all important points and reference lines clearly

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