 |
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 761-239 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 "Colóquio-Artes" 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/>
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