Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 54
y = ii.,x + /xo?/ + M32, (2) 2 = vix + v^y + v^z. For, the projection of OP (Fig. 20) on the axis OX is x. The sumof the projections of OL,LM, and MP is A,.r + A.^^+ A32:. That these two expres-sions are equal follows fromArt. 2. The second andthird equations are obtainedin a similar way. The… … (2) x = X^x + [x{y + v^z,y = X^x + fi.y + v^z,z — X^x + fji^y + v^z. The systems of equations (2) and (2) are expressed in convenient form by means of the accompanying diagram. x< y z x K A3 A3 y H-i H-2 H-3 z Vl v. V3 Since Aj, /aj, v^ ; A2, /u,o, v.,; A3, //.j, V3 are the direction cosines…
Geometry, Analytic
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