The things I could write in this section could (and has!) filled many books. I've decided that for today we limit discussion to some of the basic lateral movements, but it'll be more of a "what is" than a how-to. Honestly, for the how-to, my advice is simple: find a qualified coach. I'm adamantly against arm-chair riding lessons. These are not things to be learned off the Internet. No matter how many horrendous videos are out there. The what, however, can be :)
Lateral movements are ones that require sideways movement in some way, shape or form. They encourage flexibility, obedience, and coordination (of both horse and rider :)
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Shoulder-in: in shoulder-in the horse's front legs come to the inside, so that the outside front is directly in front of the inside hind. The horse is flexed and bent to the inside (approx the same degree as for a 10m circle). The inside hock is engaged and carries the most weight. The horse travels forward on a straight line maintaining the inside bend to create the lateral movement. In this situation the horse is moving away from the direction of the bend. The most common fault when schooling shoulder-in is to overbend the head and neck; this causes the horse to lean on the outside shoulder and thoroughly defeat the purpose.
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So there are more of course -- pirouettes, tempis, and not to mention all the longitudinal movements! hahaha see how many of them you can pick out in this example (one of the few tests I've ever watched multiple times; could do without the commentary but as it's appropriate to this Theory Thursday I figured it'd be a good one to use):
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