Abstract: A plane under a one-parameter motion envelops a surface called a plane-envelope which is a developable (torse). The properties of a plane-envelope are characterized through the properties of the ...

Abstract: In this paper, an analytical method to study the instantaneous motion of a plane subjected to a space motion is investigated. As a point traces a point-path, a plane under a one-parameter ...

Abstract: Following the analogy of higher order point-path generation, new concepts for tangent-line higher order envelope curvature theory are introduced. Mathematical relationships are derived to define, ...