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10.3 Ellipses

10.3 Ellipses. Foci Major Axis / Minor Axis Vertices / Co- Vertices Eccentricity. Parts of an Ellipse. The center is (h, k). Parts of an Ellipse. The center is (h, k) . Parts of an Ellipse. The center is (h, k) . Standard Equations of an Ellipses. “a” is with the Major axis.

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10.3 Ellipses

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  1. 10.3 Ellipses Foci Major Axis / Minor Axis Vertices / Co- Vertices Eccentricity

  2. Parts of an Ellipse The center is (h, k)

  3. Parts of an Ellipse The center is (h, k)

  4. Parts of an Ellipse The center is (h, k)

  5. Standard Equations of an Ellipses “a” is with the Major axis

  6. The Equation depends on “a” and “b”

  7. Eccentricity Definition of Eccentricity: A measure of the deviation of an elliptical path, especially an orbit, from a perfect circle. It is equal to the ratio of the distance between the foci “2c”of the ellipse to the length of the major axis “2a”of the ellipse (the distance between the two points farthest apart on the ellipse). Eccentricity ranges from zero (for a perfect circle) to values approaching 1 (highly elongated ellipses). http://www.thefreedictionary.com/eccentricity

  8. As e approaches 1 e is for eccentricity

  9. Graph the Ellipses Remember

  10. Graph the Ellipses Graph the Center

  11. Graph the Ellipses Graph the Vertices

  12. Graph the Ellipses Graph the Co-Vertices

  13. Graph the Ellipses Graph the Foci

  14. Graph the Ellipses Graph the Foci

  15. Graph the Ellipses Eccentricity

  16. Write the Equation of the Ellipses in Standard form Given

  17. Write the Equation of the Ellipses in Standard form

  18. Homework Page 722 – 724 # 1, 4, 6, 12, 18, 24, 30, 36, 42, 48, 60

  19. Homework Page 722 – 724 # 7, 17, 27, 37, 47

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