- the
hyperbola's vertices; (2)
either directrix; and (3)
either of the asymptotes.
Since both the
transverse axis and the
conjugate axis are axes
of symmetry...
- In geometry,
a conjugate hyperbola to
a given hyperbola shares the same
asymptotes but lies in the
opposite two
sectors of the
plane compared to the original...
- unit
hyperbola requires the
conjugate hyperbola y 2 − x 2 = 1 {\displaystyle y^{2}-x^{2}=1} to
complement it in the plane. This pair
of hyperbolas share...
-
a = ℓ e 2 − 1 . {\displaystyle
a={\ell \over e^{2}-1}.} The
transverse axis of a hyperbola coincides with the
major axis. In
a hyperbola,
a conjugate...
- parallel,
a single line (either two
coinciding lines or the
union of a line and the line at infinity),
a single point (in fact, two
complex conjugate lines)...
-
ellipsoid containing point V are the
lines of a circular cone,
whose axis of rotation is the
tangent line
of the
hyperbola at V. If one
allows the
center V to...
-
section are the
hyperbola, the parabola, and the ellipse; the
circle is
a special case
of the ellipse,
though it was
sometimes called as
a fourth type. The...
-
ellipse at the
endpoint of one
diameter is
parallel to the
conjugate diameter. The
longest diameter is
called the
major axis. The word "diameter" is derived...
-
parabola subtends a right angle. The
transverse axis of a hyperbola is
perpendicular to the
conjugate axis and to each directrix. The
product of the perpendicular...
-
Given a hyperbola with
asymptote A, its
reflection in
A produces the
conjugate hyperbola. Any
diameter of the
original hyperbola is
reflected to
a conjugate...
