Point/Intof,A,A
Arc / Arc Intersection
Creates a point at the intersection of two arcs. Direction selector required. Only intersections within both arc sweeps are valid.
What It Does
The Point/Intof,A,A operator creates a point at the intersection of two arcs. Both arcs have defined start and end angles — only intersections within both arc sweeps are valid results.
Selector required: Two intersections may exist within the arc sweeps. The direction selector specifies which one to create.
Syntax
Point/XLarge|XSmall|YLarge|YSmall, Intof, A1, A2
Quick Input
A: [first arc reference]
A2: [second arc reference]
Z: 0
Dir: ○ XL ○ XS ● YL ○ YS
Direction Selector
| Selector | Picks |
|---|---|
XLarge | Intersection with largest X coordinate |
XSmall | Intersection with smallest X coordinate |
YLarge | Intersection with largest Y coordinate |
YSmall | Intersection with smallest Y coordinate |
Worked Examples
Setup:
A0 = Arc: centre (0,0), r=40, 0° to 90° CCW
A1 = Arc: centre (50,0), r=40, 90° to 180° CCW
Point/YLarge, Intof, A0, A1
→ P0 = (25, 32.016) ← upper intersection
Point/YSmall, Intof, A0, A1
→ Error: only one valid intersection within both sweeps
Analytic Rule
Compute circle-circle intersections analytically.
Filter: keep only points within A0 sweep AND A1 sweep.
Direction selector picks which valid point to create.
Result: Exact analytic coordinates.
FAQ
What if the arcs do not intersect within their sweeps?
XyzPilot returns an error. The underlying circles may intersect, but if the intersection points fall outside either arc sweep, no valid result exists.
How is this different from Point/Intof,C,C?
Point/Intof,C,C works with full circles. Point/Intof,A,A respects both arc sweep angles — only intersections within both arcs are valid.