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Maximum Sum of Squares

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Phil Todd

@polymnia

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Drag points A B and C on the curve, and try and make the sum of squares as large as possible.

When you have made the number as big as you can, click Show to see the normals to the curve at A, B and C as well as the midpoints of the triangle.

Can you improve your value by dragging the points so that the normals pass through the midpoints?

Tags: triangle, maximum, curve
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