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Discover Ludwig'horizontal plane' is a correct and usable phrase in written English.
It is generally used to refer to a flat surface that is parallel to the ground or that divides something into equal or related parts. For example, "Move the figure to the horizontal plane before making any further calculations."
Dictionary
horizontal plane
noun
Any plane that divides the body into superior and inferior parts, roughly perpendicular to spine; transverse plane.
Exact(60)
The laser was horizontally polarized, meaning that its light oscillated along a horizontal plane.
It's the horizontal plane.
Level, device for establishing a horizontal plane.
When I say a horizontal plane, it doesn't have to be the entire horizontal plane.
Stem: sterile creeping, branched in 1 horizontal plane; fertile erect.
The temperature decays from the plume centerline in horizontal plane.
Perhaps the serifs somehow aid in hurrying our eyes along the horizontal plane.
The concept of using a liquid to create or find a horizontal plane is not new.
The axis of rotation is 45o to the horizontal plane of the beam.
Say that my surface S is a horizontal plane, say z equals a.
Well, it is just going to be the area element in a horizontal plane.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com