26.8.3  Rectangles in the plane

See Section 27.7.3 for rectangles in space.

The rectangle creates rectangles.

• rectangle takes three mandatory arguments and two optional arguments:
  • A,B, two points.
  • k, a nonzero real number.
  • Optionally, varc, vard, two variable names.
• rectangle(A,B,k ⟨,varc,vard ⟩) returns and draws the rectangle ABCD, where AD=|k|· AB and the angle from AB to AD is counterclockwise if k > 0, clockwise if k<0.

  If the arguments varc and vard are given, then C and D will be assigned to them.

Examples

Given rectangle(A,B,k), Xcas computes D by affix(D)=affix(A) + k e^iπ/2(affix(B)−affix(A)). If k is complex, then rectangle draws a parallelogram.

Example