Eddington:
An English scientist involved in the fields of mathematics, relativity, cosmology, and astronomy. While professor of astronomy at Cambridge, he worked on the structure of stars. He also made significant and pioneering contributions to the general theory of relativity, 
Limitless
Series,

BRUNARDOT HARMONIC ELLIPSES with
radius "r" and vector "v" as squares of integers;
and, diagonal "d," perigee "p," and Brunardot Iteration "i,"
above the first iteration, as Natural Prime numbers; also, force
"F," energy "E," and the Harmonic Ratio
"HR" are integers; soliton "s" is an even integer
and Light "L" is an integer divisible by 4; and also, included
is a simple series and a right triangle; all components, so described, are generated by
. . . any, single integer . . . with limitless iterations. h=f(A), i=f(A), T=f(h,i); therefore, T = f(A)

A 
= 
1st
Iteration 
2nd
Iteration 
3rd
Iteration 
4th
Iteration 
1st
Iteration 
2nd
Iteration 
3rd
Iteration 
4th
Iteration 

h 
= 
112 
112 
112 
112 
112 
112 
112 
Harmonic f(A) 

i 
= 
Brunardot
Iteration 

inc. 
= 
82 
14 
2 
14 
82 
14 
2 
Increment f(i) 

= 
42 
55 
57 
72 
195 
222 
226 

p 
= 
4705 
6161 
6385 
8065 
21841 
24865 
25313 


= 
22132320 
37951760 
40761840 
65036160 
477007440 
618243360 
640722656 
Fibonacci 

v 
= 
22137025 
37957921 
40768225 
65044225 
477029281 
618268225 
640747969 
Sequence 

a 
= 
44269345 
75909681 
81530065 
130080385 
954036721 
1236511585 
1281470625 


r 
= 
9409 
12321 
12769 
16129 
43681 
49729 
50625 
Generating 

d 
= 
44264641 
75903521 
81523681 
130072321 
954014881 
1236486721 
1281445313 
Right 

L 
= 
44264640 
75903520 
81523680 
130072320 
954014880 
1236486720 
1281445312 
Triangle 

U 
= 
1 
1 
1 
1 
1 
1 
1 
Natural Unit 

HR 
= 
395220 
677710 
727890 
1161360 
8517990 
11040060 
11441476 
Harmonic Ratio 

v^{2} 
= 
490047875850625 
1440803766642241 
1662048169650625 
4230751205850625 
227556934931376961 
382255598044650625 
410557959777624961 
Vector Energy 

s^{2} 
= 
489839588582400 
1440336087097600 
1661527600185600 
4229702107545600 
227536097815353600 
382224852184089600 
410525521911694336 
Soliton Energy 

E 
= 
208287268225 
467679544641 
520569465025 
1049098305025 
20837116023361 
30745860561025 
32437865930625 
Internal Energy 

F 
= 
456385 
683871 
721505 
1024255 
4564769 
5544895 
5695425 
Force 

c^{2} 
= 
490256163118850 
1441271446186882 
1662568739115650 
4231800304155650 
227577772047400322 
382286343905211650 
410590397643555586 
Chord Energy 



**Note:
Fifth Increment 





The
following is true for: Every integer value of Alpha (A) except zero and +1 
d 
=  A Natural Prime number (Nature's Scale)  
r 
=  A Perfect square  
L 
=  An Integer divisible by four  
d,r,L 
= 
A Right Triangle that Generates BHE's 

a, c^{2}, d, f, i, L, p, and s and are integers. 
E, r, v, and U are perfect squares.  
d, i, and p are Natural Prime numbers.  
p, s, v and a are consecutive terms of a series. 
p, s, and Tau are functions of Alpha. 

An Infinity line "I" and a motion line "m" are at 
right
angles to one another and are both infinite in length and
infinitesimal in width. 




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