Circle/Tan/To/L,P
Circle Tangent to Line Through Point
Creates a circle of specified radius tangent to a line and passing through a point. Direction selector specifies which solution to use.
What It Does
The Circle/Tan/To/L,P operator creates a circle of specified radius that is tangent to a line and passes through a specified point. The direction selector (XL/XS/YL/YS) picks which of the possible solutions to use.
Syntax
Circle/Tan/To, L, P, R, Dir
Quick Input
P: 0
L: 0
R: 5
Dir: XL XS YL YS
Direction Selector
| Selector | Picks |
|---|---|
XL | Circle centre with largest X coordinate |
XS | Circle centre with smallest X coordinate |
YL | Circle centre with largest Y coordinate |
YS | Circle centre with smallest Y coordinate |
Worked Examples
P: 0 L: 0 R: 5 Dir: XL
→ Circle of R=5 tangent to L0, passing through P0
Centre on the XLarge side
Analytic Rule
Find circle of radius R tangent to L and passing through P.
Dir selector picks which solution centre to use.
Result: Exact analytic circle.
FAQ
How many solutions exist?
Up to two solutions exist for a given radius. The Dir selector picks which one based on the centre coordinate position.