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Conic Sections

This series investigates the properties of the figures known as conic sections. A cone is intersected with a plane at different angles. An examination of the graphs of some simple second-degree relations reveals the shape of the parabola. The equation of the circle is developed, as well as transformation mappings, which describe any circle on the Cartesian plane. The ellipse and the hyperbola are presented, including definitions of the transverse and conjugate axes. The method for determining the asymptotes is shown. The series concludes with a comparison of the conics, showing similarities in their equations and the concept of eccentricity. The directrix is introduced, and practical methods of drawing the conics are demonstrated. 6-part series, 10 minutes each.



 
        

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