General Terms:
* Running: The most basic term.
* Galloping: The fastest gait for a horse.
* Cantering: A smooth, three-beat gait, faster than a walk but slower than a gallop.
Specific Terms:
Speed & Distance:
* Sprint: A very short race, often under a furlong (1/8 mile).
* Dash: A short race, typically around a quarter mile.
* Stakes Race: A race with a high purse, often for thoroughbreds.
* Handicap: A race where horses are assigned weights based on their previous performances.
Style:
* Striding out: Running with long, powerful strides.
* Flying: Running very fast, often with a sense of effortless speed.
* Charging: Running with a lot of energy and determination, often towards the finish line.
* Rushing: Running very quickly, often with a sense of urgency.
* Bolting: Running away quickly, often in a panicked or uncontrolled way.
* Bounding: Running with a high, bouncy gait.
Other:
* Going: The condition of the racetrack (e.g., fast, slow, yielding).
* Post Position: The starting position of a horse in a race.
* Jockey: The rider of a horse.
Specific Gaits:
* Walk: The slowest, four-beat gait.
* Tölt: A smooth, four-beat gait with a rhythmic cadence.
* Foxtrot: A smooth, four-beat gait with a lateral movement.
* Rack: A fast, four-beat gait with a lateral movement.
* Running Walk: A fast, four-beat gait with a diagonal movement.
This is not an exhaustive list, but it covers many common terms for horses running. The specific term used will depend on the context and the type of running being described.