Rather than generating a series of waveforms arranged around the edge of a circle, some machines string the waves together along a line; Consequently, they are called straightline engines, even though the lines they engrave are wavy.

Rose engines that are configured for engraving metal (as most modern examples are) and straightline engines (which are always for engraving) are collectively known as engine turning machines; and the characteristic engraved patterns they create are referred to as engine turning.