supply vs nourish

supply is a noun but nourish is not a noun.

Word	Noun	Adjective	Verb	Adverb
supply	Yes	No	Yes	No
nourish	No	No	Yes	No

As verbs, nourish is a hyponym of supply; that is, nourish is a word with a more specific, narrower meaning than supply:

supply: give what is desired or needed, especially support, food or sustenance
nourish: provide with nourishment

supply (noun)	nourish (noun)
the activity of supplying or providing something
offering goods and services for sale
an amount of something available for use

supply (verb)	nourish (verb)
state or say further	provide with nourishment
give what is desired or needed, especially support, food or sustenance	give nourishment to
give something useful or necessary to
circulate or distribute or equip with