An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 91
;, m.,b, n2bI Lp, m3c, n3e \ = ±abc ^2, s& 2*1*8 - = ± abc 1, COS I, COS//. -. 17,/,, 2J22, 2% COS 1, 1, cos A zhh> yz1 2*32 COS it, cos A, 1 (Cf. § 27, Ex. a) [CH. IV. CHAPTER IV. CHANGE OF AXES. 52. OX, OY, OZ; o£ Or], o£ are two sets of rectangularaxes through a common origin O, and the… … Pig. 26. express x, y, z in terms of £, r], £ and the direction-cosines,and vice-versa. In the accompanying figure, ON, NM, MP represent £ rj, £,and OK, KL, LP represent x, y, z. Projecting OP and ON,NM, MP on OX, OY, OZ in turn, we obtain X= l^+ 1& + m y=m1£+m2r,+m3g,V .... (1) §§52,53] THREE…
Geometry, Analytic
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