Examples of using Hyperbola in English and their translations into Russian
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its trajectory changes from a hyperbola to an ellipse, and the asteroid is captured.
As E. T. Whittaker wrote in 1910," hyperbola is unaltered when any pair of conjugate diameters are taken as new axes,
a hyperbola differs from it in that a hyperbola grows much faster in its final stage
More generally, if for any positive integer q, we define the hyperbola: H q:( x- 1)( y- 1)
the Tutte polynomial at the hyperbola H 2{\displaystyle H_{2}}, can be expressed
Grégoire de Saint-Vincent investigated the area under a hyperbola(Opus Geometricum,
which includes a geometric method for solving cubic equations by intersecting a hyperbola with a circle.
which works for points on the“Ising” hyperbola H 2{\displaystyle H_{2}}
between any two events on one hyperbola a causality relation is possible,
which turns out to be a hyperbola.
forms a hyperbola with A and B as its foci, and X must lie on one of these δ+ 1{\displaystyle\delta +1} hyperbolae.
her current position on the hyperbola, while her time axis is the tangent to the hyperbola at her position.
Any ellipse of the pencil intersects any hyperbola orthogonally see diagram.
Two particular hyperbolas are frequently used in the plane:(A)
Yes, one needs superlatives, hyperbolas to describe it.
Hence, the plane can be covered by an orthogonal net of confocal ellipses and hyperbolas.
Because ellipses and hyperbolas possess two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas.
Other orthogonal two-dimensional coordinate systems involving hyperbolas may be obtained by other conformal mappings.
Analogous to confocal ellipses and hyperbolas, the plane can be covered by an orthogonal net of parabolas.
Vieta jumping can be described in terms of lattice points on hyperbolas in the first quadrant.