3.1.32 Curves of the 2nd order
condition: Find the envelope of a family of circles constructed, as on diameters, on the focal chords of the parabola \( y^{2}=2 p x \).
Study of curves of the second order and their characteristics. Ellipse, hyperbola, parabola. Finding eccentricities, foci, focal radii, major and minor axes, including imaginary, canonical equations and plotting.