set vs diagonal

set and diagonal both are nouns.

Word	Noun	Adjective	Verb	Adverb
set	Yes	Yes	Yes	No
diagonal	Yes	Yes	No	No

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

set: (mathematics) an abstract collection of numbers or symbols
diagonal: (mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry

set (noun)	diagonal (noun)
several exercises intended to be done in series	a punctuation mark (/) used to separate related items of information
the act of putting something in position	an oblique line of squares of the same color on a checkerboard
representation consisting of the scenery and other properties used to identify the location of a dramatic production	(mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry
any electronic equipment that receives or transmits radio or tv signals	a line or cut across a fabric that is not at right angles to a side of the fabric
(psychology) being temporarily ready to respond in a particular way	(geometry) a straight line connecting any two vertices of a polygon that are not adjacent
a relatively permanent inclination to react in a particular way
the descent of a heavenly body below the horizon
a group of things of the same kind that belong together and are so used
an unofficial association of people or groups
(mathematics) an abstract collection of numbers or symbols
the process of becoming hard or solid by cooling or drying or crystallization
a unit of play in tennis or squash

set (adjective)	diagonal (adjective)
set down according to a plan	having an oblique or slanted direction
being below the horizon	connecting two nonadjacent corners of a plane figure or any two corners of a solid that are not in the same face
converted to solid form (as concrete)
fixed and unmoving
(usually followed by `to' or `for') on the point of or strongly disposed
situated in a particular spot or position
determined or decided upon as by an authority

set (verb)	diagonal (verb)
arrange attractively
produce fruit
alter or regulate so as to achieve accuracy or conform to a standard
put into a certain state; cause to be in a certain state
set to a certain position or cause to operate correctly
equip with sails or masts
become gelatinous
make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
get ready for a particular purpose or event
fix conclusively or authoritatively
estimate
decide upon or fix definitely
establish as the highest level or best performance
urge to attack someone
put into a certain place or abstract location
fix in a border
give a fine, sharp edge to a knife or razor
insert (a nail or screw below the surface, as into a countersink)
put or set (seeds, seedlings, or plants) into the ground
put into a position that will restore a normal state
adapt for performance in a different way
locate
set in type
apply or start
disappear beyond the horizon