CANONICAL EQUATIONS OF SECOND-ORDER CURVES
Keywords:
Second-order equation, curves, canonical equation, ellipse, hyperbola, parabolaAbstract
This work covers one of the important topics of the analytical geometry section, the canonical equations of second-order curves. Based on the general equation of curves, their classification, geometric properties, and methods of simplifying the equation by rotating the coordinate axis are analyzed. Also, the canonical equations of second-order curves such as ellipse, hyperbola, and parabola, their graph construction, center, and symmetry properties are widely covered.
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