Complex sentence: In all these, the rider wears a pileus, or cap of felt, and his horse is without a saddle; but these examples prove that he had the use both of the whip and the rein.
Split into simpler sentences: In all these, the rider wears a pileus, or cap of felt, and his horse is without a saddle. These examples also suggest that he had the use both of the whip and the rein.