geometry STCrosses uses the dimension and interior position of the intersection to define crossing. I compare it with endpoint contact and collinear overlap. A shared point or segment does not automatically satisfy that definition.

ATN2 uses two components to calculate an angle while retaining its quadrant. I keep the argument order and angle unit visible. Dividing one component by the other would lose useful information and introduce a zero-denominator case.

geometry STOverlaps asks a narrower question than whether two shapes share any points. I test equal and contained regions alongside a partial overlap. Those intersecting cases do not all satisfy the method’s overlap definition.

geometry STTouches tests whether shapes meet without their interiors intersecting. I keep that predicate separate from a general intersection check. Sharing an edge and sharing an area are different spatial relationships.

geometry STSymDifference keeps points belonging to either input while excluding their shared portion. I use it when both sides’ exclusive regions matter. Directed subtraction would answer a different question about only one side.

geometry STCentroid returns a polygon’s geometric center, but that point is not a promise of interior placement. I keep the center calculation separate from an interior test. A holed region makes that distinction visible.