The most common is that of which Francois spoke, "running." This is done by simply overtaking the buffalo, galloping alongside of him--the hunter, of course, being on horseback--and shooting him through the heart while he runs.

Shoot him in the region of the heart you must; for you may put twenty bullets into his great body elsewhere, and he will still manage to get away from you.
The hunters aim a little above the brisket, and behind the fore-shoulder.

The white hunters use the rifle, or sometimes a large pistol--which is better for the purpose, as they can load it more easily while going in a gallop.

The Indians prefer the bow--as they can shoot arrow after arrow in quick succession, thus slaying many buffaloes in a single "run." So expert are they with this weapon, that their arrows have been known to pierce through the bodies of large buffaloes, and pass clear out on the other side! At times the Indians use spears with which they thrust the buffaloes, while galloping alongside of them.
Another method of hunting these animals, is termed "approaching." "Approaching" buffaloes is nothing else than creeping stealthily on them until within range, when the hunter fires, often loads again and fires, and so on, until many of them are killed, before their companions take the alarm and scamper off.

Indeed, the hunter will sometimes crawl up to a herd; and concealing himself behind the bodies of those he has already killed, fire away until many have fallen.