Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 58
TION 39 We shall show that x = AX 4- A2i/ 4- A3z, I 19 /O\ z = i/X 4- v& 4 v3z. For, the projection of OP (Fig. 20) on the axis OX is x. The sumof the projections of 0/>,LM, and MP is AX 4- A2?/ V T~ . P That these two expressions are equal follows fromArt. 2. The second andthird equations… … r, we obtain ,x = A^ 4- /m^ 4- FIG. 20.= zon OX, OF, and vk C2) z = \3x 4- /A3?/ 4- vzz. The systems of equations (2) and (2) are expressed in convenient form by means of the accompanying diagram. y 3 Since \lt /x]5 V!; A2, /x2, v2; A3, //,3. v3 are the direction cosines ofthree mutually…
Geometry, Analytic
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