V Konferencja
Matematyka
w naukach technicznych
i
przyrodniczych
Krynica,
5-7 czerwca 2000
Kamil
Maleček, Dagmar Szarková
Czech
Technical University, Slovak Technical University
kamil@kmat.fsv.cvut.cz,
szarkova@sjf.stuba.sk
Streszczenie
The
paper has three parts, where some surfaces are introduced.
These surfaces are geometric models of roofing. We present a
unified method for creating roofing of the ground view of a circle
and a rectangle.
In
the first part of the paper, we deal with the surfaces that are
the geometric models for roofing of the ground view of the circle k
in the plane .
Surfaces are created with contour lines, which are obtained by the
affine transformation of the circle k and
by the translation defined by the vector perpendicular to the
plane .
We also introduce a mathematical description of these surfaces.
The
second part of the paper contains a roofing for the ground view of
a square or a rectangle by the pavilion, saddle or hip roofing.
These classical roofs are created in the same way as the surfaces
used for the roofing of the ground view of a circle.
In
the third part of the paper, we present a roofing for the ground
views of a rectangle and a circle by shells. Their geometric model
is a segment of hyperbolic paraboloid. This part of the paper is
accompanied with photos, which illustrate the roofing by shells of
the St. Maria’s church in Prague-Strašnice.
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