3.1.19 Curves of the 2 -nd Order
Condition: Having consistently converting the coordinates: rotation, and then parallel transfer of coordinate axes, convert the second -order curve to the canonical appearance and build it in the original coordinate system, as well as find the parameters of the curve. \ [5 x^{2} +4 x y+8 y^{2} -36 = 0 \]
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.