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Epsilon=One
09-17-2006, 05:35 PM
The Elliptical Constant, εpsilon, ε, is,
Naturally, directly related to Pi, π

The Elliptical Constant (http://www.CQthus.com/PT/EC) (EC), εpsilon, ε, is, Naturally, directly related to Pi, π when the Pulse, "P," of an Emergent Ellipsoid (http://www.EmergentEllipse.com) is the Elliptical Constant (http://www.CQthus.com/PT/EC) (EC), which is εpsilon, ε, = One.

When the Pulse, "P," equals one, "1," the vectors, "v," = εP² = one (v = εP² is the Pulsoid Theorem (http://www.CQthus.com/PT/eP2)); and, both the acute and obtuse ellipsoids of an Emergent Ellipsoid (http://www.EmergentEllipse.com) are congruent spheres with a radius equal to the Elliptical Constant (http://www.CQthus.com/PT/EC) (EC).

Thus, said congruent, special Emergent Ellipsoid (http://www.EmergentEllipse.com) spheres, with pi, "π," as a constant, have a radius of one, which is the Elliptical Constant (http://www.CQthus.com/PT/EC) (EC).

Interestingly, only three times, when the Pulse, "P," of an Emergent Ellipsoid (http://www.EmergentEllipse.com) is One, "1," two, "2," and infinite, "∞," are the acute and obtuse ellipsoids concurrent; which are represented, respectively, by a sphere, an equilateral ellipsoid, and a straight line.

Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
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