Binary

predicate	meaning	inverse of
`contains`	None of the points of A are outside B	`within`
`contains_properly`	A contains B and B has no points in common with the boundary of A
`covers`	No points of B lie in the exterior of A	`covered_by`
`covered_by`	Inverse of `covers`
`crosses`	A and B have some but not all interior points in common
`disjoint`	A and B have no points in common	`intersects`
`equals`	A and B are topologically equal: node order or number of nodes may differ; identical to A contains B and A within B
`equals_exact`	A and B are geometrically equal, and have identical node order
`intersects`	A and B are not disjoint	`disjoint`
`is_within_distance`	A is closer to B than a given distance
`within`	None of the points of B are outside A	`contains`
`touches`	A and B have at least one boundary point in common, but no interior points
`overlaps`	A and B have some points in common; the dimension of these is identical to that of A and B
`relate`	Given a mask pattern, return whether A and B adhere to this pattern

Transformations that work on pair of geometries and return a new geometry.

function	returns	infix operator
`intersection`	the overlapping geometries for pair of geometries	`&`
`union`	the combination of the geometries; removes internal boundaries and duplicate points, nodes or line pieces	`\|`
`difference`	the geometries of the first after removing the overlap with the second geometry	`/`
`sym_difference`	the combinations of the geometries after removing where they intersect; the negation (opposite) of `intersection`	`%/%`