The set of all planes through a line . The line is sometimes called the axis of the sheaf, and
the sheaf itself is sometimes called a pencil (Altshiller-Court 1979, p. 12;
Gellert et al. 1989, p. 542).
The equation of a sheaf of planes specified in Hessian
normal form is
See also Bundle of Planes ,
Line ,
Parallel Planes ,
Pencil ,
Plane ,
Plane-Plane
Intersection ,
Star
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References Altshiller-Court, N. Modern Pure Solid Geometry. Gellert, W.; Gottwald,
S.; Hellwich, M.; Kästner, H.; and Künstner, H. (Eds.). VNR
Concise Encyclopedia of Mathematics, 2nd ed. Kern, W. F. and Bland, J. R. Solid
Mensuration with Proofs, 2nd ed. Woods,
F. S. Higher
Geometry: An Introduction to Advanced Methods in Analytic Geometry. Referenced on Wolfram|Alpha Sheaf of Planes
Cite this as:
Weisstein, Eric W. "Sheaf of Planes."
From MathWorld https://mathworld.wolfram.com/SheafofPlanes.html
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