Smilodon
The front limbs on these cats were longer and stronger than modern cats, and from that, and its teeth, its method of attack must have been different. An educated guess would be: they were ambush predators, which clung on round the neck of their prey, and slashed at the underside of the throat. This contrasts with the method of the modern lion, which brings down its prey by weight of numbers, and clamps its jaws over the prey's nose and mouth. The prey dies of suffocation.