A plane cutting a double cone at varying angles produces the conic sections. Perpendicular to the axis: circle (e=0, x² + y² = r²). Moderate tilt: ellipse (0<e<1, x²/a² + y²/b² = 1). Parallel to a generator: parabola (e=1, y² = 4ax). Through both nappes: hyperbola (e>1,

Name: A plane cutting a double cone at varying angles produces the conic sections. Perpendicular to the axis: circle (e=0, x² + y² = r²). Moderate tilt: ellipse (0<e<1, x²/a² + y²/b² = 1). Parallel to a generator: parabola (e=1, y² = 4ax). Through both nappes: hyperbola (e>1,
Channel: Matheorems
Description: A plane cutting a double cone at varying angles produces the conic sections. Perpendicular to the axis: circle (e=0, x² + y² = r²). Moderate tilt: ellipse (0<e<1, x²/a² + y²/b² = 1). Parallel to a generator: parabola (e=1, y² = 4ax). Through both nappes: hyperbola (e>1,

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A plane cutting a double cone at varying angles produces the conic sections. Perpendicular to the axis: circle (e=0, x² + y² = r²). Moderate tilt: ellipse (0&lt;e&lt;1, x²/a² + y²/b² = 1). Parallel to a generator: parabola (e=1, y² = 4ax). Through both nappes: hyperbola (e&gt;1,

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A plane cutting a double cone at varying angles produces the conic sections. Perpendicular to the axis: circle (e=0, x² + y² = r²). Moderate tilt: ellipse (0<e<1, x²/a² + y²/b² = 1). Parallel to a generator: parabola (e=1, y² = 4ax). Through both nappes: hyperbola (e>1,