Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 317
these values in the left-hand side of [10],it becomes |-^ (Ax2 + By2 + Cz2 + D) ^- |-^^(Axi + By, + Cz, + D). This is equal to zero by virtue of (1) and (2). Hence thepoint Pg, which is any point of the line joining P^ and Pj, 302 SOLID ANALYTIC GEOMETKY. lies on the surface. Therefore the surface… … Fig. 16. Let ABC be the plane, OD the normal from the origin,p the length of the normal, and cos a, cos ^, cos y its direc-tion cosines. Take P any point in the plane, with the coor-dinates X — OL, y = LM, z == MP. By 2, § 6, the projectionof the broken line OLMP upon OD equals the projection ofthe…
Geometry, Analytic
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