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FAQ

How do I create a circle through three points in XyzPilot?

Use Circle/3P with three existing point references. Three non-collinear points uniquely determine a circle — no selector needed.

Full Answer

Use Circle/3P. Specify three existing point references. Three non-collinear points uniquely determine a circle — no selector is required. The result is the circumscribed circle of the triangle formed by the three points.

XyzPilot Example

P0 = (0, 0)
P1 = (100, 0)
P2 = (50, 60)

Circle/3P, P0, P1, P2
→ C0: circumscribed circle through all three points
   Centre and radius computed analytically

Verification:
  dist(centre, P0) = dist(centre, P1) = dist(centre, P2) = r

Relevant Operators

Circle Through 3 Points

Full operator reference.

Circle/Centre,R

Circle by Centre and Radius

Creates a circle at a centre point.

Point/Intof,C,C

Circle Circle Intersection

Creates a point at the intersection of two circles.

Also See

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