A controlled feed rate drill comprising drive means (34, 35) and an output shaft intended to set a cutting tool into motion, said drive means (34, 35) and said output shaft being linked by transmission means (16, 17, 19, 20, 21, 22, 24, 26) comprising: - a rotary drive ring capable of being rotationally driven along the longitudinal axis of said output shaft via said transmission means and said drive means, said output shaft being rotationally linked to said drive ring and translationally movable in relation thereto along said longitudinal axis; and - a tapped drive nut cooperating with a threaded portion of complementary shape provided on said output shaft, said drive nut being capable of being rotationally driven along said longitudinal axis in relation to said output shaft via said transmission means and said drive means (34, 35); said drive means comprising: - a first motor allowing said output shaft to be rotationally driven about its longitudinal axis via said transmission means; and - a second motor allowing said output shaft to be translationally driven along its longitudinal axis via said transmission means, said transmission means being configured so that the translation speed V T of said output shaft along its longitudinal axis is equal to the product of the rotation frequency F R of said second motor multiplied by a constant k, according to the formula V T =kxF R, characterised in that said transmission means comprise a transmission unit, said transmission unit comprising an epicyclic train comprising: - a sun gear linked to said second motor; - an inner gear linked to a first gear; - planet gears meshing with said sun gear and with said inner gear; - a planet gear support; said planet gear support being linked to a third gear, said first gear meshing with a second gear rigidly connected to said drive ring and said third gear meshing with a fourth gear rigidly connected to said drive nut, or vice versa, the reduction ratio of said epicyclic train, the reduction ratio between said first gear and said second gear or said fourth gear and the reduction ratio between said third gear and said fourth gear or said second gear being determined so that the difference between the rotation frequency F N of said drive nut and the rotation frequency F B of said drive ring is equal to the product of the rotation frequency F R of said second motor multiplied by a constant k, according to the formula F N -F B = k x F R. - a rotary drive ring capable of being rotationally driven along the longitudinal axis of said output shaft via said transmission means and said drive means, said output shaft being rotationally linked to said drive ring and translationally movable in relation thereto along said longitudinal axis; and - a tapped drive nut cooperating with a threaded portion of complementary shape provided on said output shaft, said drive nut being capable of being rotationally driven along said longitudinal axis in relation to said output shaft via said transmission means and said drive means (34, 35); - a first motor allowing said output shaft to be rotationally driven about its longitudinal axis via said transmission means; and - a second motor allowing said output shaft to be translationally driven along its longitudinal axis via said transmission means, - a sun gear linked to said second motor; - an inner gear linked to a first gear; - planet gears meshing with said sun gear and with said inner gear; - a planet gear support;