lyceum vs lycee

lyceum and lycee both are nouns.

Word	Noun	Adjective	Verb	Adverb
lyceum	Yes	No	No	No
lycee	Yes	No	No	No

As nouns, lyceum and lycee are synonyms defined as:

lyceum and lycee: a school for students intermediate between elementary school and college; usually grades 9 to 12

Other synonyms of lyceum include Gymnasium, middle school, secondary school.

lyceum (noun)	lycee (noun)
a public hall for lectures and concerts	a school for students intermediate between elementary school and college; usually grades 9 to 12
a school for students intermediate between elementary school and college; usually grades 9 to 12