Revision history [back]

Ideally, find a parametric description. Then use a parametric plot with the appropriate range for the parameter.

sage: x, y = SR.va('x, y')
sage: a = acosh(2.)
sage: opt = dict(xmin=-2, xmax=2, ymin=-2, ymax=2, axes=False, frame=True)
sage: Gi = implicit_plot(x^2 - y^2 - 1, (x, -2, 2), (y, -2, 2),
....:                    linewidth=5, color='steelblue', **opt)
sage: Gp = parametric_plot((cosh, sinh), (-a, a),
....:                      thickness=2, color='firebrick', **opt)
sage: Gip = Gi + Gp
sage: P = point2d([(-2, -2), (2, 2)], color='white', alpha=0)
sage: G = graphics_array([P + Gi, P + Gp, P + Gip], ncols=1)
sage: G.show(figsize=12)