The discussion confirms that a sliced circle segment is not equivalent to half an ellipse. While a circle can be considered a special case of an ellipse, where both foci coincide at the center, the curvature of circles and ellipses differs significantly. This distinction is crucial in understanding their geometric properties. Therefore, one cannot directly equate a circle segment with half an ellipse.
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bananabandana said:Homework Statement
Is it true that the if you slice a circle into two segments, you can think of one of the pieces as being half an ellipse?
Homework Equations
The Attempt at a Solution
Not sure, I was just thinking about this! Not really any idea how to proceed to a solution, or how I can apply the definition of an ellipse (fixed distance from foci..) to solve.
In general, the answer is no. Circles and ellipses have different curvature, although you can think of a circle as being a special case of an ellipse (one with both foci at the same place, the center).bananabandana said:Homework Statement
Is it true that the if you slice a circle into two segments, you can think of one of the pieces as being half an ellipse?
Homework Equations
The Attempt at a Solution
Not sure, I was just thinking about this! Not really any idea how to proceed to a solution, or how I can apply the definition of an ellipse (fixed distance from foci..) to solve.