The parabola y^2 = 4ax (opening right), or opening "left", "up" or "down", optionally with its vertex moved.
a (number) -- focal lengthorientation (string) -- optional: "right" (default), "left", "up", "down"vertex (point2d) -- optional; needs the orientationThe hyperbola (x - h)^2/a^2 - (y - k)^2/b^2 = 1.
centre (point2d) -- a (number) -- transverse semi-axisb (number) -- conjugate semi-axisThe rectangular hyperbola (x - h)(y - k) = c^2.
centre (point2d) -- c_sq (number) -- c^2The general conic ax^2 + bxy + cy^2 + dx + ey + f = 0.
a (number) -- b (number) -- c (number) -- d (number) -- e (number) -- f (number) -- What a general conic is: circle, ellipse, parabola, hyperbola, rectangular hyperbola, pair of lines.
conic (conic) -- The discriminant b^2 - 4ac of a general conic.
conic (conic) -- The focus of a parabola.
p (parabola) -- The two foci of an ellipse or hyperbola, as a list -- exact (a surd when irrational).
conic (ellipse | hyperbola) -- The directrix of a parabola.
p (parabola) -- The axis of symmetry of a parabola.
p (parabola) -- The latus rectum of a parabola, as a line.
p (parabola) -- The length of the latus rectum of a parabola, ellipse or hyperbola.
conic (parabola | ellipse | hyperbola) -- The eccentricity of an ellipse or hyperbola, exact.
conic (ellipse | hyperbola) -- The two vertices of an ellipse or hyperbola, as a list.
conic (ellipse | hyperbola) -- The two co-vertices (ends of the minor axis) of an ellipse.
e (ellipse) -- The line of an ellipse's major axis.
e (ellipse) -- The line of an ellipse's minor axis.
e (ellipse) -- The auxiliary circle of an ellipse (radius = semi-major axis).
e (ellipse) -- The director circle of an ellipse (radius^2 = a^2 + b^2).
e (ellipse) -- The two asymptotes of a hyperbola, as a list of lines.
h (hyperbola) -- The normal line to a parabola, ellipse or hyperbola at a point on it.
conic (parabola | ellipse | hyperbola) -- p (point2d) -- a point on the curveThe chord of contact of the tangents from an external point to a parabola, ellipse or hyperbola.
conic (parabola | ellipse | hyperbola) -- p (point2d) -- an external pointTrue if a line touches an ellipse or hyperbola.
l (line2d) -- conic (ellipse | hyperbola) -- The centre of a general conic, or text if it has none (a parabola).
conic (conic) -- The conic moved so its centre is at the origin (the linear terms vanish).
conic (conic) --