In which printing technique is ink applied to a design cut into a metal plate which is then pressed onto paper to transfer the image?

The printing technique you are describing is called intaglio. In this method, ink is applied to a metal plate that has a design incised or etched into its surface. The plate is then pressed onto paper, transferring the ink from the recessed areas of the plate to create the image. Intaglio is often used for high-quality prints and is known for its fine detail and rich textures.