Plan, tn, plane, plain plan (Painting) ground. planen, v.t. plan, design, project plane. Planenstoff, tn. awning cloth tarpaulin, planetarisch, a. planetary. [Pg.341]

Cable trays Not less than 0.3 gpm/ft2 of projected plane area (horizontal or vertical). [Pg.344]

[Pg.113]

fuzzy cylinders act as obstacles when entering the laminar region in Fig. 15a, the probability of their appearance (and disappearance) on the projection plane should be governed essentially by the longitudinal diffusion of the hindering or test fuzzy cylinder, and the lifetime t should obey the relation... [Pg.124]

analogue method (Lipson and Taylor, 1951, 1958) moreover, for a flat molecule the transform need only be obtained for the plane of the molecule. The effect of tilting the molecule with respect to the projection plane so that it is foreshortened in a particular direction is simply to lengthen the transform in that direction. [Pg.422]

In the ac projection, the origin and axes are again chosen to conform with a right-handed axis set. The screw axes are now represented by the symbol that shows them to be perpendicular to the projection plane. The glide planes are now shown by the symbol at the upper left, which gives both the elevation (y = i and, by implication, 5) and glide direction (c). [Pg.397]

For tori, we take their universal covers on the plane and use the primal-dual representation obtained from the program TorusDraw ([Dut04b]). For the projective plane F2, we take its universal cover, which is the sphere, and draw a circular frame,... [Pg.11]

The projective plane arises as a quotient space of the sphere, the required group being C,-. It is obtained by identifying antipodal points of the spherical surface in other words, it is the antipodal quotient of the sphere (see Section 1.2.2). P2 is the simplest compact non-orientable surface in the sense that it can be obtained from the sphere by adding just one cross-cap. [Pg.41]

Prisntm, m > 2 (on S2, with two m-gons seen as holes) and their non-orientable quotients, for m> 2 even (on projective plane, with one hole),... [Pg.54]

Stereographic projection provides a convenient way of displaying the angular relations between planes and directions in a crystal in two dimensions. The system involves first projecting planes and directions of interest onto a spherical surface and then mapping the spherical surface. Figure 4.1 illustrates how planes and directions are projected onto a sphere. If an infinitesimal crystal were placed at the center of a sphere and its planes extended, they would intersect the sphere as great circles and their directions would intersect the sphere as points. [Pg.26]

Mapping of planes and directions by placing an infinitesimal crystal at the center of a sphere and projecting planes onto the sphere to form great circles and lines to form points. [Pg.26]

Take the sphere and attach q crosscaps to form the non-orientable surface Nq which has the Euler characteristic x(Nq) = 2 — q. For example the projective plane is homeomorphic to the sphere with one crosscap and has... [Pg.185]

Fig. 2. The embedding of K6 in the projective plane. The Euler equation reads V — E + F = 6 — 15 + 10 = 1. The surface is obtained by gluing together opposite edges so that arrows match. |

See also in sourсe #XX -- [ Pg.57 , Pg.237 ]

See also in sourсe #XX -- [ Pg.92 , Pg.155 , Pg.302 , Pg.303 , Pg.305 ]

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