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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 &#x2013; the two fixed pointsMajor Axis - longer chord passing through either of the foci and parallel the major axisMinor Axis &#x2013; 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 &#x2013; aCenter to Minor Axis &#x2013; bCenter to Focus &#x2013; cDiagonal Distance of ac2 = a2 - b2Major Axis &#x2013; 2aMinor Axis &#x2013; 2b
• 6. STANDARD FORM Major Axes C(0,0) C(h,k) GraphHorizontal Major Axis Vertical Major Axis
• 7. EXAMPLES1.2.