Horseback

Football originally meant "a game played with a ball on foot" - unlike a game played on horseback, such as polo.

I'd like to try horseback riding.

A man on horseback came along the path.

I rode around the country on horseback.

Can I go horseback riding next Sunday?

No, my dear, you had better go on horseback.

He likes to go out on horseback.

Misfortune arrives on horseback but departs on foot.

Have you ever been horseback riding?

He enjoys horseback riding.