Hare coursing is the pursuit of hares with greyhounds and other sighthounds, which chase the hare by sight, not by scent.
Sloughi coursing a hare
Coursing the hare, Francis Barlow, 1686
Coursing at Hatfield, an engraving by John Francis Sartorius, depicts Emily Cecil, Marchioness of Salisbury riding side-saddle.
A hare caught by two greyhounds
Rabbiting is the sport of hunting rabbits. It often involves using ferrets or dogs to track or chase the prey. There are various methods used in capturing the rabbit, including trapping and shooting.
Huckleberry Finn, illustration by E. W. Kemble from the original 1884 edition of the book by Mark Twain
Boy scouts in the United Kingdom setting rabbit traps with the aid of ferrets during World War I
A silverback ferret being used to hunt
A group of hounds on the hunt