Plane Motion (A defintion from Machine Design by R. S Khurmi)

When the motion of a body is confined to only one plane, the motion is said to be plane motion. The plane motion may be wither rectilinear or curvilinear.
Rectilinear Motion: It is the simplest type of motion and is along a straight line path. Such a motion is also known as translatory motion.

Curvilinear Motion: It is the motion along a curved path. Such a motion, when confirmed to one plane is called plane curvilinear motion.

Source: Theory of Machines by R.S Khurmi and J.K Gupta page no: 08

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