More on Newton’s diameter theorem
SMRTR summary
Newton's diameter theorem demonstrates that when parallel lines cross a polynomial curve at exactly n points (where n is the polynomial's degree), the centroids of these intersection points align on a straight line. A new example uses a fifth-degree polynomial with three non-evenly spaced parallel lines, showing all centroids fall at x-coordinate 0.4, confirming the theorem's validity regardless of line spacing.
SMRTR provides this summary for quick context. The original article belongs to John D. Cook.
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