-
paraboloid is a conoid.
These properties characterize hyperbolic paraboloids and are used in one of the
oldest definitions of
hyperbolic paraboloids:...
-
parallel beam to a point.
Archimedes in the
third century BCE
studied paraboloids as part of his
study of
hydrostatic equilibrium, and it has been claimed...
-
paraboloid domes have
circular bases and
horizontal sections and are a type of "circular dome" for that reason.
Because of
their shape,
paraboloid domes...
-
inscribed paraboloid. Therefore, the
volume of the
flipped paraboloid is
equal to the
volume of the
cylinder part
outside the
inscribed paraboloid. In other...
-
surface dimpled in the w
direction according to the
equation (Flamm's
paraboloid) w = 2 r s ( r − r s ) . {\displaystyle w=2{\sqrt...
- parametrization). Let
there be
these three hyperbolic paraboloids: x = yz, y = zx, z = xy.
These three hyperbolic paraboloids intersect externally along the six edges...
- be
built with a
latticework of
straight elements, namely:
Hyperbolic paraboloids, such as
saddle roofs.
Hyperboloids of one sheet, such as
cooling towers...
-
construction and the
better mathematical understanding of
hyperbolic paraboloids allowed very thin,
strong vaults to be
constructed with
previously unseen...
-
spinning liquid is a
concave paraboloid,
identical to the
shape of a
reflecting telescope's
primary focusing mirror.
Paraboloids can be used in
various ways...
- the base of the
paraboloid lies
either entirely above or
entirely below the
fluid surface. Archimedes'
investigation of
paraboloids was
possibly an idealization...
