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This reply is to MS Target

You mentioned that your horse ran down hill and you took a fall.
Do No try to turn a horse in a circle on a downhill. That will cause the horse to slip and possible fall with you under the horse. I have done a lot of x country and event riding on thoroughbreds. The best way to do hills is face then straight down and half halt at the top . Make sure the horse is listening. Then ask him to go forward
and you shove your legs forward and lean back. That sets your seat deep in the saddle and gives you leverage when the horse tries to go fast. Also You won't get dumped. Make the horse literally sit on his rump if the hill is very steep and take baby steps down the hill. Do not let the horse turn sideways , Very dangerous since they can slip if a dispute between rider and horse happens.
If the horse is facing straight down he can only fall on his butt and no harm done.
Make sure the horse is on the bit and does not have his neck stretched out. Then this horse is in no danger and takes the hill slowly. Once he is obedient you can go faster but allways sit back. If he bucks , you won't fall over his neck.

I have trained horses to do 60 an 80 degree slopes at walk , trot and gallop. It can be done.