The problem of rectilinear motion of a body on an inclined plane is well known, but attempts to generalize this problem to two dimensions lead to difficulties, in particular, finding the trajectory of a body under the influence of two forces. We offer a general method for solving this problem. The method introduces a new auxiliary independent variable instead of time and a variable oblique-angle basis replaces a rectangular one. An analogy is shown between curvilinear motion on an inclined plane and the pursuit problem.
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