plane vs tangent plane

plane and tangent plane both are nouns.

Word	Noun	Adjective	Verb	Adverb
plane	Yes	Yes	Yes	No
tangent plane	Yes	No	No	No

As nouns, tangent plane is a hyponym of plane; that is, tangent plane is a word with a more specific, narrower meaning than plane:

plane: (mathematics) an unbounded two-dimensional shape
tangent plane: the plane that contains all the lines tangent to a specific point on a surface

Other hyponyms of plane include Cartesian plane, facet plane, midline, midplane, orbital plane, picture plane.

plane (noun)	tangent plane (noun)
a carpenter's hand tool with an adjustable blade for smoothing or shaping wood	the plane that contains all the lines tangent to a specific point on a surface
an aircraft that has a fixed wing and is powered by propellers or jets
a power tool for smoothing or shaping wood
(mathematics) an unbounded two-dimensional shape
a level of existence or development

plane (adjective)	tangent plane (adjective)
having a surface without slope, tilt in which no part is higher or lower than another

plane (verb)	tangent plane (verb)
cut or remove with or as if with a plane
make even or smooth, with or as with a carpenter's plane
travel on the surface of water