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Ellipse (Advanced Algebra)
Ellipse (Advanced Algebra)
Ellipse (Advanced Algebra)
Ellipse (Advanced Algebra)
Ellipse (Advanced Algebra)
Ellipse (Advanced Algebra)
Ellipse (Advanced Algebra)
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Ellipse (Advanced Algebra)

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Transcript

  • 1. CONIC SECTIONS THE ELLIPSE
  • 2. ELLIPSE - Set of all points such that the sum of the distances from two fixed points, called the foci, is constant.
  • 3. PARTSCenterVerticesFoci – the two fixed pointsMajor Axis - longer chord passing through either of the foci and parallel the major axisMinor Axis – shorter chord perpendicular to the major axis passing through the center
  • 4. Latera Recta - Plural form of latus rectum - chords passing through the foci perpendicular to the centerDirectrix - fixed lines outside the ellipse parallel to the minor axis
  • 5. RELATIONSHIP BETWEEN PARTSCenter to Vertex – aCenter to Minor Axis – bCenter to Focus – cDiagonal Distance of ac2 = a2 - b2Major Axis – 2aMinor Axis – 2b
  • 6. STANDARD FORM Major Axes C(0,0) C(h,k) GraphHorizontal Major Axis Vertical Major Axis
  • 7. EXAMPLES1.2.

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