The right side is the far side of the horse.

右边是马的远侧。

youdao

Suddenly the horse lurched to one side and the child fell off.

马突然歪向一边，小孩就摔了下来。

《牛津词典》

The king placed the maiden before him on his horse and rode away to his castle, the fawn following by their side.

国王在马上将少女放到他面前，骑着马去了城堡，而小鹿紧随其后。

youdao

The journey continues on the other side by horse drawn cart.

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The ground might be lower or higher on the take-off or landing side and all these things throw the horse's center of gravity.

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