Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 309
->. This equation is called the nornud form of the equation of aplane. Observe that the number ;:> is always positive, beingthe distance of the plane from the origin, or the length of thevector ON. Hence Ix -\- my + nz is always positive. … Fig. 133 XIV, §:U71 THE PLANE 297 317. Reduction to the Normal Form. The equation Ax +By -\- Cz -j- 1) = 0 is in general not of tlie form lx+my-\-nz=psince in the latter equation the coelhcients of x, y, z, being thedirection cosines of a vector, have the property that the sumof their squares is…
Geometry, Analytic
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