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A hippocampus was a half horse and half sea horse figure.
Kart -_-
The half horse, half eagle was a Hippogriff.
They might since they are half horse and half man.
Centaurs - half man half horse.
A part of a harness that keeps the horse from throwing back its head. A part of the rigging on the bowsprit of a sailing ship. Doubling your bet after each losing hand. A half-belt on the back of a garment.
There is no fantasy creature that is half horse half human and NOT called a centaur.
A half human half horse is a centaur, a Greek mythical creature.
A mule is a half donkey half horse. A mule cannot breed, so a half horse half mule is impossible.
The crest is in the front half of the horse.
A Hippogriff. A Pegasus is just a winged horse.