In the past, I have used a Variac to slow a cheap jigsaw, but with the knowledge that reduced speed = reduced power and seriously reduced cooling.
Speed reduction by voltage control is likely to increase current draw, more than expected, since at lower speeds, the motor's back emf will be reduced, resulting in a greater voltage drop across the motor.
The Power vs Speed relationship for a fan is non linear. Being similar to a marine propellor, it is probably to the power 2.8, so halving the speed probably reduces the flow of cooling air by a factor of between 7 and 8.
So only short periods of use, under light load, are feasible, if damage is to be avoided.
Howard