Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 321
ence the plane XOY cuts this surfacein a straight line. Placing y = 0 and thenx = 0, we find the sections of this surfacemade by the planes ZOX and YOZ to berespectively the straight lines Ax + Cz + D=0, (2) and By + Cz + D=0. (3) Placing z = zv we have A x + By + (z1 + D = 0, (4) which is the… … SURFACES 305 where (4) intersects the plane XOZ, we place y = 0, and the resultAx + Cz1 + D= 0 shows that this point is a point of the line (2). Thisresult is true for all values of zr Hence this surface is the locus of astraight line which moves along a fixed straight line always remainingparallel…
Geometry, Analytic · Calculus
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