FM Conics Sections

RVHS Maths Dep, Mar 11, 2021

FM Conics Sections

Table of Contents

  1. Conics
    1. Conics
    2. Conic Sections
    3. Directrix Eccentricity Focus Conics
    4. Polar Conics Eccentricity & Directrix
  2. Parabola
    1. Parabola (Reflective property)
    2. Focus Directrix Parabola
    3. Parabola (Tangents at end-pts of chord are perpendicular)
    4. Parabola (to trace Locus of Mid-pt of chord)
    5. Parabola (Tracing it out_same dist fr F & d)
    6. Another Parabola Theorem!
  3. Ellipses
    1. Conics - Ellipse
    2. Ellipse Focus Directrix Eccentricity
    3. Pathway of feet on elliptical workout machines
  4. Hyperbolas
    1. Geometric Interpretation of Hyperbolas
    2. Hyperbola_Locus of P where length_PF1 - length_PF2 = k
    3. Parametric Form of Hyperbola
    4. Right Angle (H)

1.

Conics

  • 1. Conics
  • 2. Conic Sections
  • 3. Directrix Eccentricity Focus Conics
  • 4. Polar Conics Eccentricity & Directrix

1.1.

Conics

– RVHS Maths Dep

1.2.

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1.3.

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1.4.

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2.

Parabola

  • 1. Parabola (Reflective property)
  • 2. Focus Directrix Parabola
  • 3. Parabola (Tangents at end-pts of chord are perpendicular)
  • 4. Parabola (to trace Locus of Mid-pt of chord)
  • 5. Parabola (Tracing it out_same dist fr F & d)
  • 6. Another Parabola Theorem!

2.1.

Parabola (Reflective property)

– RVHS Maths Dep

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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3.

Ellipses

  • 1. Conics - Ellipse
  • 2. Ellipse Focus Directrix Eccentricity
  • 3. Pathway of feet on elliptical workout machines

3.1.

Conics - Ellipse

An illustration of some of the basic geometrical properties of an ellipse.
– DavidA

3.2.

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3.3.

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4.

Hyperbolas

  • 1. Geometric Interpretation of Hyperbolas
  • 2. Hyperbola_Locus of P where length_PF1 - length_PF2 = k
  • 3. Parametric Form of Hyperbola
  • 4. Right Angle (H)

4.1.

Geometric Interpretation of Hyperbolas
– Jose Rincon

4.2.

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4.3.

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4.4.

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