
Second Communication
B) SECRETS OF PI
(Continuation) 
1) 
In the previous communication I`ve said that the first 100 decimals of
Pi did sum 477. And that this number was in relation with the Great
Pyramid. In fact, in an occult manner. I explain:

2) 
The vertical section by the median of the base of that pyramid is an
isosceles triangle with the proportions of 14:22 (fig 1).
Or there exists a second isosceles triangle and only one with
height and base in whole numbers (21:12) that, superposed to the
first, gives at the intersection points with it values of 22/7. The
oblique side of this second triangle takes the value of square root of
477 (fig. 2).

3) 
Otherwise, we have a third isosceles triangle and only one with height
and base in whole numbers (22:14) that share with the first the
same inscribed square (fig.3). 
4) 
These three triangles, with such an exclusive geometric relationship,
have respectively, areas of 154, 126, and 154. The sum of these areas
is 434. 
5) 
We`ll see now an unexpected coincidence with the 3 numbers that
compose the "Singularity of Pi": 5, 761, and 239 (V/ "First
communication"). So:
This equation, strangely, has a relation with the expression showed
in paragraph 2 of the "First
communication", that points out another particularity of pair 761 
239. 
6) 
Note that, in fig.3, the circle with radius AS and the square NPQR
they have same perimeter (in similarity with the Great Pyramid, where the
circle with radius equal to the height has the same perimeter of the
base):

7) 
It`s, perhaps, interesting to remind the formula used by John Machin
(1706) for the calculation of Pi:
Pi = 16 arctan(1/5)  4 arctan(1/239) where are present the numbers
5 and 239 (and 761, as a sort of "phantasm"...). 
8) 
Now some others numeric curiosities:
a) 
The values of the exponential constant e elevated to Pi
is 23.1407. We can get it by the numbers 761 and 239, with only an
error of 1/10 000.

b) 
239 and 23 are the only numbers that cannot be represented in
fewer than 9 positive cubes. Note that 239 = 10 x 23 + 9.

c) 
The sum of the squares of the 7 first prime numbers is 666.
Playing with these numbers we obtain: 666/7  1/7 + 666 = 761.

d) 
The first 144 decimals of Pi sum 666. Then we can see that:
666  144 = 761  239 = 522 = 2 x 261 (V/
paragraph 10) And: 522  434 = 88, the perimeter of the
Great Pyramid’s base. 
e) 
Playing with the numbers of the 3 isosceles triangles:
Then: 761  317 = 444; 761  477 = 284; 761  533 =228
and: 444 + 284 + 228 = 956 = 4 x 239. 
f) 
A good approximation to Pi:
with practically 9 decimals correct.
 
9) 
As promised in "First
communication", next I give the 55 + 1 pairs of numbers that have
digital root of 5 and sum 1000. Of these, 9 pairs are formed by prime
numbers (V/ paragraph 2 in "First
communication"):
Posição 
A 
B 
1 
995 
5 
2 
986 
14 
3 
977 
23 
4 
968 
32 
5 
959 
41 
6 
950 
50 
7 
941 
59 
8 
932 
68 
9 
923 
77 
10 
914 
86 
11 
905 
95 
12 
896 
104 
13 
887 
113 
14 
878 
122 
15 
869 
131 
16 
860 
140 
17 
851 
149 
18 
842 
158 
19 
833 
167 
20 
824 
176 
21 
815 
185 
22 
806 
194 
23 
797 
203 
24 
788 
212 
25 
779 
221 
26 
770 
230 
27 
761 
239 
28 
752 
248 
29 
743 
257 
30 
734 
266 
31 
725 
275 
32 
716 
284 
33 
707 
293 
34 
698 
302 
35 
689 
311 
36 
680 
320 
37 
671 
329 
38 
662 
338 
39 
653 
347 
40 
644 
356 
41 
635 
365 
42 
626 
374 
43 
617 
383 
44 
608 
392 
45 
599 
401 
46 
590 
410 
47 
581 
419 
48 
572 
428 
49 
563 
437 
50 
554 
446 
51 
545 
455 
52 
536 
464 
53 
527 
473 
54 
518 
482 
55 
509 
491 
(56) 
(500) 
(500)  Only the pair 761239 solves the
equation presented in that paragraph. 
10) 
In the list above are marked the pairs of prime numbers. The sum of
their positions is 261. And: 261 = ( 761  239 ) /2. The last
pair, 500  500, gives us, when juxtaposed, 500500, that is the triangular
number of 1000. 
11) 
At least and still about the number 5761, I advert you to a curious
coincidence with the History of religions (already mentioned in my article
published in the revue "ColóquioArtes" nr. 85, June 90, edited by
Calouste Gulbenkian Foundation, Lisbon): according to the hebraic sacred
chronology, the date of the creation of the Universe (Anno Mundi) is 3761
B.C. So, the year 5761 of that chronology (from September.2000 to
September.2001) coincide with the transition from the Second to the Third
Millenium. (note: in the Michael Drosnin's The Bible Code, 97,
the author decode the preceding year, 5760 (from September.1999 to
September.2000); so, coincident with the end of the Second Millenium. In
the context of his investigation, to that year is attributed an
apocalyptic sense, like we can found in Nostradamus). 
Coincidences... coincidences... Too much coincidences...
Carlos Calvet Lisbon, December 1997
On Pi, see: v/ David Blatner <http://www.joyofpi.com/>
