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Parabola Applications Mr. Bigham

Parabola Applications Mr. Bigham. An Ancient Application of Parabolas. Painted by Gieulio Parigi, ≈ 1600 A.D., Florence Italy. Archimede’s “Solar Death Ray”. Modern Solar Death Energy Rays. 1. Circle 2. Ellipse 3. Parabola 4. Hyperbola. Conic Sections. Geometry: Algebra:

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Parabola Applications Mr. Bigham

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  1. ParabolaApplicationsMr. Bigham

  2. An Ancient Application of Parabolas Painted by Gieulio Parigi, ≈ 1600 A.D., Florence Italy

  3. Archimede’s “Solar Death Ray”

  4. Modern Solar Death Energy Rays

  5. 1. Circle2. Ellipse3. Parabola 4. Hyperbola Conic Sections

  6. Geometry: Algebra: Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

  7. Parabola Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 ( B = 0, C = 0)

  8. More Parabolas

  9. Parabola anatomy V F = Focus V = Vertex L = Directrix

  10. Parabola property

  11. Create your own

  12. One way to construct a parabola • Begin with paper, pencil, straight edge, and compass • Make a horizontal line, this is your directrix • Make a point above the line, this is your focus • Mark a point on the directrix

  13. Circles

  14. Conic Sections

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