- 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...
- 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...
- 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...
-
section are the
hyperbola, the parabola, and the ellipse; the
circle is
a special case
of the ellipse,
though it was
sometimes considered a fourth type....
-
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...
- are
complex conjugate. An
elliptic paraboloid is
shaped like an oval cup and has
a maximum or
minimum point when its
axis is vertical. In
a suitable coordinate...
- 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)...
- case
of an
ellipse in
which one
of the foci is
a point at infinity.
A hyperbola can be
defined as the
locus of points for
which the
absolute value of the...
- This
diagram included the unit
hyperbola, its
conjugate, and
a pair
of conjugate diameters.
Since the 1960s
a version of this more
complete configuration...
