Consider a closed curve of finite length.
There is at least one straight line that can bisect both the perimeter and the area of the curve.
Why is this statment true?
Consider a closed curve of finite length.
There is at least one straight line that can bisect both the perimeter and the area of the curve.
Why is this statment true?
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It isn't true. Here's one example of a closed curve that can't be bisected in this way: