Abstract

Abstract A professional inquiry from a surveyor as to how to compute the angle between two inclined planes in space led to the presentation in this paper of different kinds of equations for lines and planes. Their relationships are discussed, and it is shown how the parameters are found. The emphasis is on coordinate transformation from one reference system to another by means of a rotation matrix. The rotation matrix, together with the two sets of three-dimensional coordinates, allows the users to retain their conventional perceptions of space. An example is included of striking a plane through a number of data points, so as to determine the location and the perpendicular offset of those points with respect to the plane. May 1991

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