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 
= 
144 
144 
144 
144 
144 
144 
144 
Harmonic f(A) 

i 
= 
17 
Brunardot
Iteration 

inc. 
= 
178 
18 
2 
18 
178 
18 
2 
Increment f(i) 

= 
90 
71 
73 
56 
323 
286 
290 

p 
= 
12961 
10225 
10513 
8065 
46513 
41185 
41761 


= 
167974560 
104540400 
110512656 
65036160 
2163412656 
1696163040 
1743939360 
Fibonacci 

v 
= 
167987521 
104550625 
110523169 
65044225 
2163459169 
1696204225 
1743981121 
Sequence 

a 
= 
335962081 
209091025 
221035825 
130080385 
4326871825 
3392367265 
3487920481 


r 
= 
25921 
20449 
21025 
16129 
93025 
82369 
83521 
Generating 

d 
= 
335949121 
209080801 
221025313 
130072321 
4326825313 
3392326081 
3487878721 
Right 

L 
= 
335949120 
209080800 
221025312 
130072320 
4326825312 
3392326080 
3487878720 
Triangle 

U 
= 
1 
1 
1 
1 
1 
1 
1 
Natural Unit 

HR 
= 
2332980 
1451950 
1534898 
903280 
30047398 
23557820 
24221380 
Harmonic Ratio 

v^{2} 
= 
28219807211725441 
10930833187890625 
12215370885802561 
4230751205850625 
4680555575930170561 
2877108772907850625 
3041470150404416641 
Vector Energy 

s^{2} 
= 
8215452807193600 
10928695232160000 
12213047136174336 
4229702107545600 
4680354320140974336 
2876969058262041600 
3041324491357209600 
Soliton Energy 

E 
= 
4354404531841 
2137955730625 
2323749628225 
1049098305025 
201255789196225 
139714645809025 
145659047207041 
Internal Energy 

F 
= 
2086721 
1462175 
1524385 
1024255 
14186465 
11820095 
12068929 
Force 

c^{2} 
= 
28224161616257282 
10932971143621250 
12217694635430786 
4231800304155650 
4680756831719366786 
2877248487553659650 
3041615809451623682 
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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