Showing content from http://www.postgresql.org/docs/9.3/interactive/functions-geometry.html below:
PostgreSQL: Documentation: 9.3: Geometric Functions and Operators
+ Translation box '((0,0),(1,1))' + point '(2.0,0)' - Translation box '((0,0),(1,1))' - point '(2.0,0)' * Scaling/rotation box '((0,0),(1,1))' * point '(2.0,0)' / Scaling/rotation box '((0,0),(2,2))' / point '(2.0,0)' # Point or box of intersection box '((1,-1),(-1,1))' # box '((1,1),(-2,-2))' # Number of points in path or polygon # path '((1,0),(0,1),(-1,0))' @-@ Length or circumference @-@ path '((0,0),(1,0))' @@ Center @@ circle '((0,0),10)' ## Closest point to first operand on second operand point '(0,0)' ## lseg '((2,0),(0,2))' <-> Distance between circle '((0,0),1)' <-> circle '((5,0),1)' && Overlaps? (One point in common makes this true.) box '((0,0),(1,1))' && box '((0,0),(2,2))' << Is strictly left of? circle '((0,0),1)' << circle '((5,0),1)' >> Is strictly right of? circle '((5,0),1)' >> circle '((0,0),1)' &< Does not extend to the right of? box '((0,0),(1,1))' &< box '((0,0),(2,2))' &> Does not extend to the left of? box '((0,0),(3,3))' &> box '((0,0),(2,2))' <<| Is strictly below? box '((0,0),(3,3))' <<| box '((3,4),(5,5))' |>> Is strictly above? box '((3,4),(5,5))' |>> box '((0,0),(3,3))' &<| Does not extend above? box '((0,0),(1,1))' &<| box '((0,0),(2,2))' |&> Does not extend below? box '((0,0),(3,3))' |&> box '((0,0),(2,2))' <^ Is below (allows touching)? circle '((0,0),1)' <^ circle '((0,5),1)' >^ Is above (allows touching)? circle '((0,5),1)' >^ circle '((0,0),1)' ?# Intersects? lseg '((-1,0),(1,0))' ?# box '((-2,-2),(2,2))' ?- Is horizontal? ?- lseg '((-1,0),(1,0))' ?- Are horizontally aligned? point '(1,0)' ?- point '(0,0)' ?| Is vertical? ?| lseg '((-1,0),(1,0))' ?| Are vertically aligned? point '(0,1)' ?| point '(0,0)' ?-| Is perpendicular? lseg '((0,0),(0,1))' ?-| lseg '((0,0),(1,0))' ?|| Are parallel? lseg '((-1,0),(1,0))' ?|| lseg '((-1,2),(1,2))' @> Contains? circle '((0,0),2)' @> point '(1,1)' <@ Contained in or on? point '(1,1)' <@ circle '((0,0),2)' ~= Same as? polygon '((0,0),(1,1))' ~= polygon '((1,1),(0,0))'
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