Epsilon=One
08-17-2005, 04:29 AM
The Ultron Ellipse (UE)
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http://b.g2d.us/ue660.gif
Legend for an Ultron Ellipse
Line AD = radius = r
Line BA = hypotenuse = h
Line BC = soliton = s
Line BD = wave = w
Line BF = vector = v
Line CA = diagonal radial = d
Line CF = amplitude = a
Line EB = perigee = p
Line EC = major radial = m
Line ED = apogee = o
Line EF = diameter chord = c = Natural integer (www.101123.com/NI)
Line EG = major diameter = M
Line FH = minor diameter = L
Line JA = diagonal = D
Line oP = Pythagorean radius = Pr = Natural integer (www.101123.com/NI)
Line oT = Taisoid radius = Tr = Natural integer (www.101123.com/NI)
Line oV = Vector radius = Vr = Natural integer (www.101123.com/NI)
Triangle ABD = Pythagorean triangle (www.CQthus.com/PTr)
Inscribed circle ABD = Pythagorean circle
Inscribed circle CDH = Vector circle
Inscribed circle CEH = Taisoid circle
p, s, v, o = 1st terms of a Brunardot Series (www.101123.com/BS)
The Ultron Ellipse (UE) is a Pulsoidal Ellipse (www.101123.com/PE) (PE) that has a Natural integer (www.101123.com/NI) value for the diameter chord, "c" (Line EF).
Most Ultron Ellipses after a relatively few pulses (UE) resemble the below image more than the one above. Actually, for the smallest UE, the major diameter, "M," is more than 200 times greater than the minor diameter, "L,"; whereas the below image is approximately 16:1; the ratio increases exponentially with each integer increment of the perigee, “p.”
All UEs have an ellipticalness approaching that of a straight line.
(If no image appears below, "Click" your browser "Refresh" icon.)
Ultron Ellipse
http://b.g2d.us/ue.gif
See: The Mystique of the Ultron Ellipse (www.101123.com/UEm).
©Copyright 2005-2008 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
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comments are logical and convincing;
or whether clarification is required......http://1.g2d.us/e.gifhttp://7.g2d.us/e.jpghttp://2.g2d.us/e.gifhttp://3.g2d.us/e.gifhttp://4.g2d.us/e.gifhttp://5.g2d.us/e.gif
..........http://6.g2d.us/e.gif
..........If images don’t display, "click" the Refresh Icon.
(If no image appears below, "Click" your browser "Refresh" icon.)
http://b.g2d.us/ue660.gif
Legend for an Ultron Ellipse
Line AD = radius = r
Line BA = hypotenuse = h
Line BC = soliton = s
Line BD = wave = w
Line BF = vector = v
Line CA = diagonal radial = d
Line CF = amplitude = a
Line EB = perigee = p
Line EC = major radial = m
Line ED = apogee = o
Line EF = diameter chord = c = Natural integer (www.101123.com/NI)
Line EG = major diameter = M
Line FH = minor diameter = L
Line JA = diagonal = D
Line oP = Pythagorean radius = Pr = Natural integer (www.101123.com/NI)
Line oT = Taisoid radius = Tr = Natural integer (www.101123.com/NI)
Line oV = Vector radius = Vr = Natural integer (www.101123.com/NI)
Triangle ABD = Pythagorean triangle (www.CQthus.com/PTr)
Inscribed circle ABD = Pythagorean circle
Inscribed circle CDH = Vector circle
Inscribed circle CEH = Taisoid circle
p, s, v, o = 1st terms of a Brunardot Series (www.101123.com/BS)
The Ultron Ellipse (UE) is a Pulsoidal Ellipse (www.101123.com/PE) (PE) that has a Natural integer (www.101123.com/NI) value for the diameter chord, "c" (Line EF).
Most Ultron Ellipses after a relatively few pulses (UE) resemble the below image more than the one above. Actually, for the smallest UE, the major diameter, "M," is more than 200 times greater than the minor diameter, "L,"; whereas the below image is approximately 16:1; the ratio increases exponentially with each integer increment of the perigee, “p.”
All UEs have an ellipticalness approaching that of a straight line.
(If no image appears below, "Click" your browser "Refresh" icon.)
Ultron Ellipse
http://b.g2d.us/ue.gif
See: The Mystique of the Ultron Ellipse (www.101123.com/UEm).
©Copyright 2005-2008 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
Sorry! This Thread has not been completed.
Please Bookmark and return to this site often.
If there is an immediate need for information,
please e-mail directly at the below "Click" link.
Please note that any private correspondence
may be edited and anonymously posted unless
requested otherwise.
Every effort will be made to expedite a reply
with the requested information.Please ask questions. :)With questions it’s possible to know if
comments are logical and convincing;
or whether clarification is required......http://1.g2d.us/e.gifhttp://7.g2d.us/e.jpghttp://2.g2d.us/e.gifhttp://3.g2d.us/e.gifhttp://4.g2d.us/e.gifhttp://5.g2d.us/e.gif
..........http://6.g2d.us/e.gif
..........If images don’t display, "click" the Refresh Icon.