= Universal parabolic constant
{wiki=Universal_parabolic_constant}
The Universal Parabolic Constant, often denoted by the symbol \\( p \\), is a mathematical constant defined as the ratio of the length of a parabola's arc segment to the length of its vertical projection. More specifically, for a parabola described by the equation \\( y = x^2 \\), the constant is derived from the comparison between the arc length of the curve and the distance along the vertical from the origin to a given point on the parabola.
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