|
|
 |
|
Holy
Bible
Schofield
references
Cyclopaedic
Concordance
Page
41
“ Birth of Jesus
…..Bethlehem
………….…….Dec………..B.C.5…Mat..1
: 18
25
”
“ Jesus dies
………Jerusalem… 3-0pm
.Fri,…..April 7th…..A.D…..Mat
27 : 50 56 ”
Beyond
John Allen Paulos 1991
Page 98
Page 99
“A golden rectangle
is defined to be any rectangle whose-length-to width ratio
is the same as this golden ratio. ” “…The
famous Fibonacci sequence of numbers 1, 1, 2, 3,
5, 8, 13, 21, 34, 55,89, 144, 233,… bears an unexpected
relation to these golden
rectangles…” 1 2
3 4 5 6 7
8 1
1
2 3 5
8
4
3 “It would
indeed be possible to shorten the message of all
mystics to those three words of the
Vedantist, Page
157 “ The
change in the rate of perception that is a feature
of higher states of consciousness is beautifully
described The
Fulcanelli
Phenomenon Page 259
“…
Although most Western expositions of Tantra are
wanting…” “…on the subject of
the Tantric /
Page
260 / ‘phonetic’
cabala’ Grant interprets the lotus as the
‘flow-er, the flowing one that gathers
together all the mystical
essences, “stars”, or Kalas
of the human body, and conveys them via the
pudendum to the sacred leaf ready to receive
them’ The symbolism of these kalas, or sacred
emanations, should already be obvious.
…” Page 261
“…Grant
concedes that ‘the mysterious science of
Alchemy approximates closely to the Tantric
doctrine Page 263
“It will be
as well to recall here what Fulcanelli’s reply
was when Bergier asked him what the real
nature Page
357 Page
230 “The Inca
had a highly developed mnemonic device known by the
native name of
quipu…” /
Page
231 / of the strings,
and the nature, number, and position of the knots
permits its use for numerical records and mnemonic
pur-poses. All known quipus are different and vary
greatly in size and complexity; relatively few of
these extent are complete, a neces-sity for the
correct interpretation of any mathematical
record. Page
232 / record; this is
obvious from the statements of the chroniclers who
saw them in use. Probably the majority were
censuses of the population by age-classes in given
districts, as well as records of domestic animals,
quantities of agricultural products, and such
statistics. Probably the figures could be read by
any Inca qui-pucamayoc or proffessional
quipu-interpreter, who doubtless also knew the
meaning or various meanings of the string colours,
but certainly in many or most instances some verbal
information of interpretative value had to
accompany a quipu
(Figure6). ¹.
Nordenskiold, 1925a, 1925b Page234 / in lucky and
unlucky days, which were so important among the
Mesoamericans. It must be kept in mind, however,
that we have no historic information regarding the
peoples of the coast where these quipus were
buried. The Growth Of
Science Page
15 “The
Egyptians,…” “…made good
observations on the stars and were able to say when
the sun or moon would become dark in an
eclipse (a most surprising event even in our
times), and when the land would be covered by the
waters of the Nile: they were expert at building
and made some discoveries about the relations of
lines and angles among them one very old rule for
getting a right-angle by stretching out knotted
cords with
“…The
sequence is defined by the fact that each term in it (except
for the first two) is the sum of its two
predecessors:
2
=1 + 1;
3
= 2 + 1;
5
= 3 + 2;
8
= 5 + 3,
13
= 8 + 5.
Remembering that the golden ratio is approximately 1.61803
(the number has a non repeating infinite decimal expansion)
and performing a little long division, we notice (what can
be proved with a little algebra) that the ratio of a term in
the fibonacci sequence to its predecessor app roaches this
ratio. For the case of
3
by
5
cards, the ratio
5/3
=
1.66666;
for
5
by
8
cards, the ratio is
8/5
= 1.6;
13/8
= 1.625;
21/13
= 1.615384;
34/21=
1.61905; and so on.
Reight, said Zed
Aliz to yonder scribe, the first eight sequined
sequence.
F I
B
O N
A
C C
I
1 2
3 4 5
6 7
8 1
1, 2,
3,
5,
8, 13,
21,
165580141 267914296 433494437 701408733
1134903170 1836311903 2971215073
480752697
77787420491258626902520365011074329512800995331629117386267571272
139583862445225851433717
3654352961625912867298799567220260411548008755920250473078196140527395378816557470319842
10610209857723
There has
to be give and take in numbers, writ the scribe,
leaving out zeros occurring after the decimal
point.
Better start
again from the beginning said Zed Aliz, continue
ignoring said zeros, and cluster eight to each
twinkle.
Add to
reduce, reduce to deduce for example 8 + 1 iz
9
and
9
+ 1 iz 10 and 1 + zero iz
won.
1 =
1
1 =
1
2 =
2
3
= 3
5
= 5
8 =
8
13
1+3
=
4
21
2+1
=
3
34
3 +
4
= 7
55
5 +
5
= 1
89
8 +
9
= 8
144
1+4+4
= 9
233
2+3+3
= 8
377
3+7+7
= 8
610
6+1
= 7
987
9+8+7 = 6
1597
1+5+9+7 = 4
2584
2+5+8+4 = 1
4181
4+1+8+1
= 5
6765
6+7+6+5
= 6
10946
1+9+4+
6 =
2
17711
1+7+7+1+1
= 8
28657
2+8+6+5+7
= 1
46368
4+6+3+6+8
= 9
24
75025
7+5+2+5
= 1
25
121393
1+2+1+3+9+3 =
1
26
196418
1+9+6+4+1+8 =
2
27
317811
3+1+7+8+1+1 =
3
28
514229
5+1+4+2+2+9 =
5
29
832040
8+3+2+4
= 8
30
1346269
1+3+4+6+2+6+9 =
4
31
2178309
2+1+7+8+3+9 =
3
32
3524578
3+5+2+4+5+7+8 =
7
33
5702887
5+7+2+8+8+7 =
1
34
9227465
9+2+2+7+4+6+5 =
8
35
14930352
1+4+9+3+3+5+2 =
9
36
24157817
2+4+1+5+7+8+1+7 =
8
37
39088169
3+9+8+8+1+6+9 =
8
38
63245986
6+3+2+4+5+9+8+6 =
7
39
102334155 1+2+3+3+4+1+5+5 =
6
40
165580141 1+6+5+5+8+1+4+1
= 4
41
267914296 2+6+7+9+1+4+2+9+6
= 1
42
433494437 4+3+3+4+9+4+4+3+7
= 5
43
701408733 7+1+4+8+7+3+3 =
6
44
1134903170 1+1+3+4+9+3+1+7 =
2
45
1836311903 1+8+3+6+3+1+1+9+3 =
8
46
2971215073 2+9+7+1+2+1+5+7+3 =
1
47
4807526976
4+8+7+5+2+6+9+7+6 =
9
48
7778742049 7+7+7+8+7+4+2+4+9 =
1
49
12586269025 1+2+5+8+6+2+6+9+2+5 =
1
50
20365011074 2+3+6+5+1+1+7+4 =
2
51
32951280099 3+2+9+5+1+2+8+9+9 =
3
52
53316291173 5+3+3+1+6+2+9+1+1+7+3 =
5
53
86267571272 8+6+2+6+7+5+7+1+2+7+2 =
8
54
139583862445 1+3+9+5+8+3+8+6+2+4+4+5 =
4
55
225851433717 2+2+5+8+5+1+4+3+3+7+1+7 =
3
56
365435296162 3+6+5+4+3+5+2+9+6+1+6+2 =
7
57
591286729879 5+9+1+2+8+6+7+2+9+8+7+9 =
1
58
956722026041 9+5+6+7+2+2+2+6+4+1
59
1548008755920 1+5+4+8+8+7+5+5+9+2
= 9
60
2504730781961 2+5+4+7+3+7+8+1+9+6+1
= 8
61
4052739537881 4+5+2+7+3+9+5+3+7+8+8+1
= 8
62
6557470319842 6+5+5+7+4+7+3+1+9+8+4+2
=
7
63
10610209857723 1+6+1+2+9+8+5+7+7+2+3
= 6
64
Reight wah
scribe said Zed Aliz Zed, make thee an 8 x 9
ordered grouping of the first
72
distilled Fibonacchi
numbers.
Azin add to
reduce, reduce to deduce, said the scribe. Azin add
to reduce, reduce to deduce said
AlizZed.
And so yon
scribe set about prospecting
pattern.
1 2
3 4 5 6 7
8
1 1
2 3 5
8 4 3
9
10
11 12 13 14 15
16 7 1
8 9 8
8
7
6
17 18
19 20 21 22 23
24 4
1
5 6 2
8
1
9
25 26
27 28 29 30 31
32 1 1
2 3 5
8
4
3
33
34
35 36 37
38 39
40 7 1
8 9 8
8
7
6
41
42
43 44 45
46 47
48 4 1
5 6 2
8
1
9
49
50
51 52 53
54 55
56 1 1
2 3 5
8
4
3
57
58
59 60 61
62 63
64
7 1
8 9 8
8 7 6
65
66
67 68 69
70 71
72 4 1
5 6 2
8 1 9
1 2
3 4 5 6 7
8 1
1
2 3 5
8
4
3
9 1
2 3 4 5 6
7 7
1
8 9 8
8
7
6
8 9
1 2 3 4 5
6 4
1
5 6 2
8
1
9
7 8
9 1 2 3 4
5 1
1
2 3 5
8
4
3
6 7
8 9 1 2 3
4 7
1
8 9 8
8
7
6
5
6
7 8 9 1 2
3 4
1
5 6 2
8
1
9
4
5
6 7 8 9 1
2 1 1
2 3 5
8
4
3
3
4
5 6 7 8 9
1 7 1
8 9 8
8
7
6
2
3
4 5 6 7 8
9 4 1
5 6 2
8
1
9
1 2
3 4 5 6 7
8 1
1 2
3 5
8 4
3
9 1
2 3 4 5 6
7 7
1 8
9 8
8 7
6
8 9
1 2 3 4 5
6 4
1 5
6 2
8 1
9
7 8
9 1 2 3 4
5 1 1 2
3 5
8 4
3
6 7
8 9 1 2 3
4 7 1
8 9 8
8 7
6
5
6
7 8 9
1
2
3 4 1
5 6 2
8 1
9
4
5
6 7 8
9
1
2 1 1
2 3 5
8 4
3
3
4
5 6 7
8 9 1 7 1
8 9 8
8 7
6
2
3
4 5 6
7 8 9 4 1
5 6 2
8 1
9
9 1
2 3 4 5 6
7 7
1
8 9 8
8
7
6
8 9
1 2 3 4 5
6 4
1
5 6 2
8
1
9
7 8
9 1 2 3 4
5 1
1
2 3 5
8
4
3
6 7
8 9 1 2 3
4 7
1
8 9 8
8
7
6
5
6
7 8 9
1
2
3 4
1
5 6 2
8
1
9
4
5
6 7 8
9 1 2 1
1
2 3 5
8
4
3
3
4
5 6 7
8 9 1 7
1
8 9 8
8
7
6
2
3
4 5 6
7 8 9 4
1
5 6 2
8
1
9
1 2
3 4 5 6
7
8 1 1
2 3 5
8
4
3
9 1
2 3 4 5
6
7 7 1
8 9 8
8
7
6
8 9
1 2 3 4
5
6 4 1
5 6 2
8
1
9
7 8
9 1 2 3
4
5 1 1
2 3 5
8
4
3
6 7
8 9 1 2
3
4 7 1
8 9 8
8
7
6
5 6
7 8 9 1
2
3 4 1
5 6 2
8
1
9
4 5
6 7 8 9
1
2 1 1
2 3 5
8
4
3
3 4
5 6 7 8
9
1 7 1
8 9 8
8
7
6
2 3
4 5 6 7
8
9 4 1
5 6 2
8
1
9
1 + 2 + 3
+
4 + 5 + 6 + 7 + 8 1+1+2+3+5+8+4+3
+ + + + + + + +
+ +
+ + + + + +
9 + 1 + 2
+
3 + 4 + 5 + 6 + 7 7+1+
8+9+8+8+7+6
+ + + + + + + +
+ + +
+ + + + +
8 + 9 + 1
+
2 + 3 + 4 + 5 + 6
4+1+5+6+2+8+1+
9
+ + + + + + + + + +
+ + + + +
+
7 + 8 + 9
+
1 + 2 + 3 + 4 + 5
1+1+2+3+5+8+4+3
+ + + + + + + +
+
+ + + + + + +
6 + 7 + 8
+
9 + 1 + 2 + 3 + 4
7+1+8+9+8+8+7+6
+ + + + + + + +
+ +
+ + +
+ +
+
5 + 6 + 7
+
8 + 9 + 1 + 2 + 3 4+1+5+6+2+8+1+9
+ + + + + + + +
+ + + + +
+
+ +
4 + 5 + 6
+
7 + 8 + 9 + 1 + 2 1+1+2+3+5+8+4+3
+ + + + + + + +
+ + + + + + + +
3 + 4 + 5
+
6 + 7 + 8 + 9 + 1 7+1+8+9+
8+8+7+6
+ + + + + + + +
+ + + + + + + +
2 + 3 + 4
+
5 + 6 + 7 + 8 + 9
4+1+5+6+2+8+1+9
At this
point the Zed Aliz Zed, scribe, and accompanying
shadows built a Chorten in humble obeisance to
the
blessed
THAT
Kenneth
Walker 1943
Tat Twam
Asi, Thou art the That. The description of the
‘That’ alone is variable. To the
Platonist, it is the
eternal
idea;to the
Hindu, it is Brahman; to the Buddhist, it is
Purusha; and to the Sufi and the Christian, it is
God.”
in a
remarkable passage of the Apocryphal Gospels,
‘The Book of
James’
Now
I, Joseph, was walking, and I walked not. And I
looked
up
into the air and saw the air in amazement. And I
looked up into
the
pole of heaven and saw it standing still, and the
fowls of
the
heaven without motion. And I looked upon the earth
and
saw
a dish set, and workmen lying by it, and their
hands were in
the
dish: and they that were chewing chewed not, and
they that
were
lifting the food lifted it not, and they that put
it to their
mouth
put it not thereto, but the faces of all of them
were looking
upward.
And behold there were sheep being driven, and
they
went
not forward but stood still; and the shepherd
lifted his
hand
to smite them with his staff, and his hand
remainedup. And
I
looked upon the stream of the river and saw the
mouths of the
kids
upon the water, and they drank not. And of a sudden
all
things
moved onwards in their course.
”
Kenneth
Rayner Johnson
1980
mysteries,
…” “…One of the best and most
detailed analyses of the system is contained in
Kenneth Grants
quartet of
books, …” “…In these books
Grant unfolds some of the
arcana…”
“…The
bodily centres, or chakras, are also often
referred to in Tantrik texts as padma, or
lotuses, the mystical
sacred
flower of the Orient which in some senses
corresponds to the mystic rose of E uropean
mysticism. In a
manner
reminiscent of Fulcanelli’s
“…One
of these kalas, or secretions, known as the
sadhakya kala, which Grant says is the most
secret of all, is the essence where
time
stands
still;
where time is NOT (My italics.)
”
The
scribe writ, the brother’s italics, our
emphasis.
of the
Kalas,’…”
of alchemy
consisted in. He said:
‘The secret of alchemy is that there exists a
means of manipulating matter and energy so as to
create what
modern
science calls a force-field’ This force field
acts upon the observer and puts him in a privileged
position
in relation
to the universe. From this privileged position he
has access to realities that space and time
matter
and energy,
normally conceal from us. This is what we call the
Great Work.’ ”
and
the
IMAGINATION
Edward
Kasner and James Newman 1940
“Cheshire-Puss, ” she began rather
timidly . .
.
“
Would you tell me please, which way I ought to go
from
here? ”
“
That depends a good deal on where you want to get
to, ”
said the Cat.
“I
dont much care where” said
Alice.
“ Then it doesn’t matter which way you
go,” said the
Cat.
”
J.Alden
Mason 1957
“…The
quipu consists basically of a series of strings in
which knots are tied. The great variation possible
in the colour and posi-
The main cord, which was held in an horizontal
position is generally of larger size, from a few
centimetres to over a yard or metre in length. To
this are attached from one to over one hundred
pendent strings, of various colours, twists, and
other modifications. They may be fastened to the
main cord in groups, and subsidiary strings may be
attached to them. Knots of various types and
positions were tied in these pendent cords. The
knots certainly have numerical values; the colour
and other qualities of the strings probably signify
the number of the objects thus counted. Several of
the chroniclers give interpretations for some of
the colours, but the disagreement is so great that
no deductions can be
drawn.
Studies
of quipus by several
specialists¹ in
this field have demonstrated clearly that the
numerical records are given in a decimal
arithmetical system very much like are own, with
place value. This was to be expected, since the
Quechua numeral system was and is decimal, and the
social system was organized on a decimal
basis.
A simple
knot represents ‘one;’ digits from two to
nine are denoted by longer knots in which the cord
wad wound or looped a given number of times before
it was pulled tight. The concept of Zero was
understood but required no symbol; the absence of
any knot in the expected position denoted zero.
Place-value was indicated by distance from the main
cord; the unit digits were at the farther or lower
end of the string, the higher multiples tens,
hundreds and thousands closer to the
main cord. In the known extant quipus calculations
in thousands are rare and apparently only one
instance of ten thousand is known. Generally the
long knots of many loops were employed only for the
unit digits; multiples of the higher orders were
re-presented by the proper number of single knots
close together.
The quipu was a recording and mnemonic, not a
calculating device. Its principal purpose was
doubtless that of
statistical /
¹.
Locke, 1912, 1923, 1938; Nordenskiold,1925a,
1925b.
However,
the quipu could be, and certainly was, employed as
mnemonic device for the recitation of traditional
material such as historical ballads and
genealogical records. Thus, according to some of
the chroniclers, the life and activities of each
em-peror were recorded on a quipu. Such quipus
could, of course, be interpreted only by the maker
or by someone fully familiar with the
data.
As a result of his study of many quipus found in
graves on the coast the only extant ones
Nordenskiold ¹
comes to the con-clusion that these at least were
not statistical records but were used in divination
and possibly for the determination of lucky and
unlucky days. He argues from his wide experience
with American aborigines, that it would be
absolutely contrary to American Indian psychology
to place with the dead any in-formation regarding
the living, since this would give the former some
control over the latter. His point is doubtless
well taken, and we may be rather confident that
these quipus were not cur-rent censuses.
Nordenskiold finds in these quipus an unexpected
frequency of occurrence of the number
seven
and concludes that this must have been a sacred
number. Also he derives sums and totals, many of
which seem to agree, more or less closely, with the
rotation periods of celestial bodies; therefore he
believes these quipus to be calendrical and
astronomical in nature and used in magic and
divination. Although Nordenskiold was one of the
greatest Americanists, his conclusions on this
point are not generally accepted by modern
authorities mainly because there are many
discrepancies in his calculations that need to be
ex-plained away, and because the Inca apparently
had little
interest /
It is rather certain that an abacus was
employed in making the calculations that were later
recorded on the quipus. No example has yet been
discovered archaeologically, but some chroniclers
have described its use²
and even
given a picture of one (Figure 6). This seems to
have been a rectangular block with twenty
(5
by
4)
compartments in which from one to five kernals of
corn or other small objects were placed and
manipulated. ”
¹.
Wassen, 1931,
1940 ².
Acosta, 1880
(1590).
A.P.
Rossiter 1939
5,
4,
and
3
units between the knots.
÷
…”
“… ‘’
…”
“…
14472334024676200.00
23416728348467700.00
37889062373143900.00
61305790721611600.00
99194853094755500.00
160500643816367000.00
259695496911123000.00
420196140727490000.00
679891637638612000.00
1100087778366100000.00
1779979416004710000.00
2880067194370820000.00
4660046610375530000.00
7540113804746350000.00
12200160415121900000.00
19740274219868200000.00
31940434634990100000.00
51680708854858300000.00
