CONIC SECTIONS
1. ELLIPSES
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A. BASIC ELEMENTS OF AN ELLIPSE
1. Ellipse and Foci
2. Axes and Vertices
3. Lengths of the Axes of an Ellipse
4. Eccentricity
5. Circles of an Ellipse
6. Directrices
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B. EQUATION OF AN ELLIPSE
1. Equation of an Ellipse Centered at the Origin
2. General Equation of an Ellipse in the Plane (Optional)
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C. POSITIONS OF A LINE AND AN ELLIPSE
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D. THE TANGENT AND NORMAL TO AN ELLIPSE
1. Equations of the Tangent and Normal to an Ellipse Centered at the Origin
2. Equations of the Tangent and Normal to an Ellipse in the Plane (Optional)
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E. PARAMETRIC EQUATIONS OF AN ELLIPSE
1. Parametric Equations of an Ellipse Centered at the Origin
2. Parametric Equations of an Ellipse in the Plane (Optional)
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F. AREA OF AN ELLIPSE
–Ellipses Around Us
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2. HYPERBOLAS
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A. BASIC ELEMENTS OF A HYPERBOLA
1. Hyperbola and Foci
2. Axes and Vertices
3. Lengths of the Axes of a Hyperbola
4. Eccentricity 2
5. Circles of a Hyperbola
6. Directrices
7. Asymptotes
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B. EQUATION OF A HYPERBOLA
1. Equation of a Hyperbola Centered at the Origin
2. General Equation of a Hyperbolain the Plane (Optional)
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C. POSITIONS OF A LINE AND A HYPERBOLA
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D. THE TANGENT AND NORMAL TO A HYPERBOLA
1. Equations of the Tangent and Normal to a Hyperbola Centered at the Origin
2. Equations of the Tangent and Normal to a Hyperbola in the Plane (Optional)
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3. PARABOLAS
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A. BASIC ELEMENTS OF A PARABOLA
1. Parabola and Focus
2. Axis and Vertex
3. Parameter
4. Eccentricity
5. Directrix
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B. EQUATION OF A PARABOLA
1. Equation of a Parabola with Vertex at the Origin
2. General Equation of a Parabola in the Plane (Optional)
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C. POSITIONS OF A LINE AND A PARABOLA
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D. THE TANGENT AND NORMAL TO A PARABOLA
1. Equations of the Tangent and Normal to a Parabola with Vertex at the Origin
2. Equations of the Tangent and Normal to a Parabola in the Plane (Optional)
–Parabolic Reflectors
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4. CONIC SECTIONS (OPTIONAL)
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A. GENERAL EQUATION OF A CONIC SECTION