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'Perfect Oval' (Posted on 2006-11-18) Difficulty: 3 of 5
A well-meaning senior citizen once erroneously contended that a "perfect oval" could only be constructed with a straight edge and a pair of compasses.

The theoretical construction that he described so very closely approximates the ellipse given by the equation: (x^2)/16 + (y^2)/9 = 1.

Required:
1. Emulate such a construction
2. Suggest the difference in area of these two entities if this construction and an ellipse representing the above equation are drawn at the same scale (let them share a common major radial length).

To my knowledge, oval and ellipse refer to the same thing, ellipse being the 'technical' term.

See The Solution Submitted by brianjn    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Notes re solution | Comment 4 of 5 |
(In reply to Notes re solution by brianjn)

 

Since the ellipse is the standard that we are shooting for in creating our "Ovals", I stand by using the area of the ellipse in the denominator.

Since any construction done with a straight edge and a pair of compasses can be accomplished with a pair of compasses alone, I could still use my method to construct the "Oval" (although it would require more steps).

 


  Posted by Bractals on 2006-11-29 05:36:31
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