TY - JOUR
AU - Roberts, S.
AB - 286 Mr. S. Roberts on the Motion of a Plane [June 8, By S. ROBERTS, M.A. Point directrices 1. Imagine an indefinite plane inclined at an invariable angle to a fixed plane, in which two of the points of the former plane describe given curves. Every point of the moving plane will describe a curve lying in a plane parallel to the fixed plane, and the general trajectory will be the locus of a point rigidly connected with a line of constant length moving with its extremities on the given curves as directrices. With reference to space of three dimensions, the motion constitutes a very restricted case, and the moving plane envelopes a developable.* But if the angle of inclination is evanescent, the motion is that of a plane in plane space, determined by the motions of two points of the plane, and is therefore general. The primary elements of a plane are points and lines. And if the directrices above mentioned are algebraical, problems of the following kind arise. Given the degree, class, and general singularities of the directrices, to determine the degree, class, and general singularities, (1) of the trajectory of any point of the moving plane, 
TI - On the Motion of a Plane under Certain Conditions
JO - Proceedings of the London Mathematical Society
DO - 10.1112/plms/s1-3.1.286
DA - 1869-11-01
UR - https://www.deepdyve.com/lp/wiley/on-the-motion-of-a-plane-under-certain-conditions-7UqGCsXiE4
SP - 286
EP - 319
VL - s1-3
IS - 1
DP - DeepDyve
ER -