Equality vs Similarity - What's the difference?

As nouns the difference between equality and similarity

is that equality is the fact of being equal while similarity is closeness of appearance to something else.

* (archaic)

(uncountable) The fact of being equal.

(uncountable, mathematics) The fact of being equal, of having the same value.

(uncountable) The equal treatment of people irrespective of social or cultural differences.

* (fact of being equal ): equivalence parity,

* (fact of being equal ): difference, inequality * (equal treatment of people ): discrimination, inequality nonequivilence

(similarities)

Closeness of appearance to something else.

(philosophy) The relation of sharing properties.

Hardly is there a similarity detected between two or three facts, than men hasten to extend it to all. — Sir W. Hamilton.

* resemblance