Home → FAQ → How do I create a point at the tangent location between...

FAQ

How do I create a point at the tangent location between two circles?

Use Point/Tanto,C,C. The circles must be tangent to each other — either externally or internally.

Full Answer

Use Point/Tanto,C,C. The two circles must be tangent to each other. External tangency: dist(centres) = r1 + r2. Internal tangency: dist(centres) = |r1 - r2|.

XyzPilot Example

External tangency:
  C0 = Centre (50,50), radius 25
  C1 = Centre (100,50), radius 25
  dist(centres) = 50 = 25 + 25  [externally tangent]
  Point/Tanto, C0, C1, 0
  → P14 = (75, 50)

Internal tangency:
  C0 = Centre (0,0), radius 50
  C1 = Centre (20,0), radius 30
  dist(centres) = 20 = 50 - 30  [internally tangent]
  Point/Tanto, C0, C1, 0
  → P15 = (50, 0)

Relevant Operators

Point/Tanto,C,C

Tangent Point Circle Circle

Full operator reference.

Point/Tanto,L,C

Tangent Point Line Circle

Tangent point between line and circle.

Circle/Tanto,C,C,R

Circle Tangent to Two Circles

Creates a circle tangent to two circles.

Also See

← All FAQs Operator Reference Try in XyzPilot →