Horses are very easy to trip if you can get close enough, at least close enough to be able to throw something if nothing else. Lassos help also and is a bit less violent.
Mounting, wedging, steering uphill, forcing the head into a turn, etc. Tripping and especially firearms were used as a last resort, there's plenty of ways to do that without permanently injuring or killing the horse.
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I'm curious about the ways of stopping a horse
Horses are very easy to trip if you can get close enough, at least close enough to be able to throw something if nothing else. Lassos help also and is a bit less violent.
Gun, possibly?
Mounting, wedging, steering uphill, forcing the head into a turn, etc. Tripping and especially firearms were used as a last resort, there's plenty of ways to do that without permanently injuring or killing the horse.
Sorry yes. I see what was meant now.