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Construct Ellipse Axes (Posted on 2004-12-21) Difficulty: 4 of 5
Given an arbitrary ellipse (not a circle) without a marked center or foci. Using a straightedge and compass construct the major and minor axes.

  Submitted by Bractals    
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Construct two parallel lines intersecting the ellipse in four points. These points define a line segment on each line. Construct a line determined by the midpoints of these two segments. This line intersects the ellipse in two points and defines a line segment. The midpoint of this segment is the center of the ellipse. Construct a circle with this center and intersecting the ellipse at four points. These points are the vertices of a rectangle whose sides are parallel to the axes of the ellipse. It is then a simple procedure to construct the axes of the ellipse.

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  Subject Author Date
re(2): Solution (Nice)Eric2004-12-21 19:59:41
re: Solution (Nice)Jer2004-12-21 18:23:40
Unproven/Incomplete solutionJer2004-12-21 18:08:51
SolutionEric2004-12-21 17:39:22
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