Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 261
b or c according as the plane is YZ, ZX or XY. Thedifference between the co-ordinates will therefore be equal tothese same quantities, and we shall have X :=^x -a\ y =y -^,or x =x ^a-, y = / + &; Z220. Case II. Transforma-tion to a neiu rectangular systemhaving the same origin hut differ-ent… … (11) axis OZ. 238 QEOMETBY OF THREE DIMENSIONS. Then, calling x, y and z the co-ordinates of P referred tothe old system, we shall have, by § 213, X = OR, y = RQ\ z = QP. From the points P, Q and R drop perpendiculars upon thenew axis OX, meeting it in the points P, Q and R. Letus then put or, /?,…
Geometry, Analytic
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