Parabolic Constant
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High Quality Content by WIKIPEDIA articles! In mathematics, the ratio of the arc length of the parabolic segment formed by the latus rectum of any parabola to its focal parameter is a constant, denoted ! P_2 and called the "universal parabolic constant".In the diagram, the latus rectum is pictured in blue, the parabolic segment that it forms in red and the focal parameter in green.The circle and parabola are unique among conic sections in that they have a universal constant. The analogous ratios for ellipses and hyperbolas depend on their eccentricities. This means that all circles and parabol...
High Quality Content by WIKIPEDIA articles! In mathematics, the ratio of the arc length of the parabolic segment formed by the latus rectum of any parabola to its focal parameter is a constant, denoted ! P_2 and called the "universal parabolic constant".In the diagram, the latus rectum is pictured in blue, the parabolic segment that it forms in red and the focal parameter in green.The circle and parabola are unique among conic sections in that they have a universal constant. The analogous ratios for ellipses and hyperbolas depend on their eccentricities. This means that all circles and parabolas are similar, and that all ellipses and hyperbolas are not.
