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FAQ

What is the difference between IN and OUT tangency in XyzPilot?

OUT means the new circle touches the outside of the reference circle. IN means one circle is inside the other, touching at one point.

Full Answer

When creating circles or arcs tangent to existing circles, XyzPilot uses IN/OUT to specify the tangency type:

Selector	Meaning	Condition
`OUT`	External tangency — new circle touches outside	dist(centres) = R_new + R_ref
`IN`	Internal tangency — one circle inside the other	dist(centres) = \|R_new - R_ref\|

XyzPilot Example

C0 = Centre (0,0), radius 20, R_new = 15

Circle/Tanto, L0, C0, R=15, YLarge, OUT
→ New circle touches outside of C0
   dist(centres) = 15 + 20 = 35

Circle/Tanto, L0, C0, R=15, YLarge, IN
→ New circle inside C0
   dist(centres) = |15 - 20| = 5

Relevant Operators

Circle/Tanto,L,C,R

Circle Tangent to Line and Circle

Uses IN/OUT tangency selector.

Circle/Tanto,C,C,R

Circle Tangent to Two Circles

Uses IN/OUT tangency selector.

Arc/Tanto,L,C,R

Arc Tangent to Line and Circle

Uses IN/OUT tangency selector.

Also See

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