homeopathy vs homoeopathy

homeopathy and homoeopathy both are nouns.

Word	Noun	Adjective	Verb	Adverb
homeopathy	Yes	No	No	No
homoeopathy	Yes	No	No	No

As nouns, homeopathy and homoeopathy are synonyms defined as:

homeopathy and homoeopathy: a method of treating disease with small amounts of remedies that, in large amounts in healthy people, produce symptoms similar to those being treated

homeopathy (noun)	homoeopathy (noun)
a method of treating disease with small amounts of remedies that, in large amounts in healthy people, produce symptoms similar to those being treated	a method of treating disease with small amounts of remedies that, in large amounts in healthy people, produce symptoms similar to those being treated