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Epsilon=One
08-07-2005, 07:05 PM
Ratios of elliptical shapes are
as constant as those of the circle.

That is: for any elliptical shape the ratio of the perigee/major diameter is the same for every other elliptical shape.

It is because of these constant ratios that Pulsoids (http://www.physicsmathforums.com/showthread.php?t=98) intrinsically resonate regardless of the time intervals between pulses.

All elliptical shapes have the same simple functions that relate all their parts to one another.

Thus, if the perigee is “x,” the major diameter is “2x²”
. . . regardless of the shape.

Otherwise, there would be no elliptical constant (http://www.physicsmathforums.com/showthread.php?t=107).

The structural parts of all elliptical shapes (http://www.physicsmathforums.com/showthread.php?t=106) have the same algebraic relationship to one another; just as it is with the circle, which is a special ellipse.

Thus, if the perigee is “x,”
the distance between the foci is “2(x² –x).”

The most salient relationships of any elliptical shape are:

Natural number (http://www.physicsmathforums.com/showthread.php?t=141) = n (not negative or zero)
perigee = p = n
soliton = s = p² – p
vector = v = p²
radius = 2p – 1
wave = w = 2s
hypotenuse = h = w + 1”
©Copyright 2005 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.

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