Five axis machine tool

A machine tool for machining a part, comprising:

• a frame having an upper surface and a bottom undersurface,
• a mobile tool holder having a tool holder spindle, said mobile tool holder mounted on the upper surface of the frame, the tool holder spindle being displaceable relative to the frame along a first axis of translation, and the mobile tool holder and the tool holder spindle being displaceable relative to the frame along a second axis of translation perpendicular to the first axis of translation, the upper surface extending at an angle of between 40° and 50° relative to the first axis of translation, a first slide, along which the mobile tool holder is displaced as the mobile tool holder is moved along the second axis of translation, being provided on the upper surface of the frame,
• a mobile part holder holding the part, said mobile part holder suspended from and below the bottom undersurface of the frame, the mobile part holder comprising a carriage that is displaceable relative to the frame along a third axis of translation perpendicular to said first and second axes of translation, said mobile part holder having a first axis of rotation parallel to the third axis of translation to rotate the part about the first axis of rotation, and said mobile part holder having a second axis of rotation perpendicular to the first axis of rotation to rotate the part about the second axis of rotation.