Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 110
Fig. 59 Art. 78] ROTATION OF THE AXES 93 axes are (x, y), and referred to the new axes are (x, y). Let theangle XOX, through which the axes are rotated, be denoted by … Fig. 60 e, the angle XOP by <^, and the angle XOP by «. If OP = r, then X — r cos <^ = r cos (d -\- a) = r cos 9 cos a — r sin 6 sin a,y = r sin <^ = r sin (^ + «) = r sin 9 cos « + r cos ^ sin «. But r cos a — x and r sin « = ?/ ; and therefore x = oc cos 6—2/ sill 6,y = x sin 8 + z/ cos…
Geometry, Analytic
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