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"coordinate system" is a correct and usable phrase in written English.
It is commonly used in scientific, mathematical, and technical writing. For example, "The data was plotted on a two-dimensional coordinate system."
Dictionary
coordinate system
noun
A method of representing points in a space of given dimensions by coordinates from an origin
Exact(60)
MNI, Montreal Neurological Institute coordinate system.
Currently only "world" coordinate system is supported.
All data are in geographic coordinate system.
Bent waveguide dielectric function and coordinate system.
outsys The coordinate system of the answer; if not given the current coordinate system is used.
The World Coordinate System (WCS) is a generalized name for the celestial coordinate system.
insys The coordinate system of point; if not given the current coordinate system is used.
Deleting an object removes the coordinate system and any objects associated with that coordinate system.
II: inflation, flattening, and a surface-based coordinate system.
A cylindrical coordinate system was used.
A helical coordinate system is first proposed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com