Stitz-Zeager_College_Algebra_e-book

A x2 y 52 1 3 12 center 0 5 transverse axis on y

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Unformatted text preview: s the set of all points (x, y ) in the plane such that the sum of the distance from F1 to (x, y ) and the distance from F2 to (x, y ) is d. The points F1 and F2 are called the focia of the ellipse. a the plural of ‘focus’ (x, y ) d1 F1 d2 F2 d1 + d2 = d for all (x, y ) on the ellipse We may imagine taking a length of string and anchoring it to two points on a piece of paper. The curve traced out by taking a pencil and moving it so the string is always taut is an ellipse. The center of the ellipse is the midpoint of the line segment connecting the two foci. The major axis of the ellipse is the line segment connecting two opposite ends of the ellipse which also contains the center and foci. The minor axis of the ellipse is the line segment connecting two opposite ends of the ellipse which contains the center but is perpendicular to the major axis. The vertices of an ellipse are the points of the ellipse which lie on the major axis. Notice that the center is also the midpoint of the major axis, hence it is the midpoint of the vertices. I...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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