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Circle/L,Tanto,C,R

Circle Tangent to Line and Circle with Radius

Creates a circle of specified radius tangent to a line and tangent to a circle. IN/OUT and XL/XS/YL/YS selectors specify the solution.

What It Does

The Circle/L,Tanto,C,R operator creates a circle of specified radius that is tangent to a line and tangent to an existing circle. The IN/OUT selector specifies internal or external tangency to the circle. The Dir selector picks which solution to use.

Syntax

Circle/L,Tanto,C,R, L, C, R

Quick Input

L: 0 C: 0 R: 5 IN/OUT: OUT IN Dir: XL XS YL YS

Direction Selector

SelectorOptionsMeaning
IN/OUTOUT / INExternal or internal tangency to the reference circle
DirXL XS YL YSPicks which solution based on centre coordinate

Worked Examples

L: 0 C: 0 R: 5 IN/OUT: OUT Dir: XL → Circle of R=5 tangent to L0 and externally tangent to C0 Centre on the XLarge side

Analytic Rule

Find circle of radius R tangent to L and tangent to C. IN/OUT picks external or internal tangency to C. Dir picks solution position. Result: Exact analytic circle.

FAQ

What does IN/OUT control?

OUT means the new circle is externally tangent to the reference circle — it sits outside it. IN means the new circle is internally tangent — it encloses the reference circle.