C LASES BASES

363 which is approximately one solar year.

C C ha h a pt p te e r r 8 8 -- - -M Me e rc r c ur u ry y a a nd n d t th he e G Gr re e a a t t P Py yr r a a mi m id d

Do you know what the measurements of the Great Pyramid are or what those measurements represent?

There have been several television shows in the past few years on the pyramids and speculation on their construction.

In the late 1800's a man by the name of Flanders Petrie did a detailed measurement of the Great Pyramid.

Although the capstone has long been gone (or maybe it was never there in the first place) Petrie determined that the intended height of the Great Pyramid was 5813 inches.

If we use the height of the pyramid as the radius of a circle we find that the circumference of the circle is:

5813 times 2 times Pi (3.14159)=36524.125 If we divide 36524.125 by 100 we get 365.24125

We can see that the last figure above is very close to the

number of days in a solar year which is approximately 365.2422 (not the 365.25 that we were taught in school to account for the extra day added every four years. We use 365 for three years and add the extra day every four years to make up the quarter, but astronomy books give the figure as being closer to 365.2422).

So if we use one inch to represent one day, the circumference we arrived at represents 100 years.

(I have mentioned the Time-Life series of books "Mysteries of the Unknown" several times in my books on Gann. In one of those books, "Mystic Places" on page 59 it says the measurements represent 1,000 years, but that is a mistake in their book. Yes, there are

mistakes in those books. I have found others and I'm sure there are some that I missed). Time-Life, Gann, myself, etc. We all make mistakes.

When the sides of the base of pyramid were measured Petrie found that they also equaled 36524.125. Therefore the base of the pyramid in terms of its height represented the squaring of the circle, as far as perimeter is concerned.

I say "as far as perimeter is concerned" since there are at least three schools of thought on the "squaring of the circle." The other two examples are not needed as far as the discussion at hand is concerned.

Many years ago I saw the movie "No Highway in the Sky" with James Stewart. In the first part of the movie he is shown with his daughter who mentions studying the pyramid at school and the

"squaring of the circle." That movie is shown from time to time on television. American Movie Classics has shown it several times. You might be interested in taking a look at it.

We could make a scale model of the pyramid using a height of 7 inches.

In ancient times the use of fractional numbers were difficult and Pi was expressed as 22/7. The Hebrews used 21/7 or 3 as can be seen in the Bible.

In I Kings, Chapter 7, verse 23, a passage about the building of Solomon's house, we have these words:

"And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of 30 cubits did compass it round about."

From this we gather that the molten sea was circular with a diameter of 10 cubits and a circumference of 30, so the ratio of diameter to circumference was 3.

But the Egyptians seemed to use 22/7 as the ratio of diamter to circumference so using 22/7 for our Pi and 7 inches for our radius of a circle we would get a circumference of:

7 times 2 times 22/7=44

The base of our model pyramid would also be 44 and the sides would therefore be 11.

(I noted in some of my other work that the number 44 was more than just the cash low on soybeans in 1932. I noted that it was also a pyramid number. So now you can see that from this discussion.) The triangle of 11 is 66. (Triangular numbers were discussed in Book IV of this series.)

(Gann said we have angles of 66, 67 and 68).

If we divide the height of the Great Pyramid by 66 we get:

88.075757, the approximate time it takes Mercury to go around the sun.

Coincidental?

Maybe.

But remember that the pyramid represents 100 solar years. So maybe the planet Mercury was represented by these calculations.

C C ha h a pt p te e r r 9 9 -T - T he h e A An ns s we w e r r

I noted something in Chapter 3. I asked you to try to figure it out before turning to this chapter for the answer. Did you figure it out?

The birth of Robert Gordon was in the "17th" degree of Gemini.

If we reduce that degree to its absolute number in the zodiac we find it is 77. There are 30 degrees in Aires, 30 in Taurus and we have 17 in Gemini, for a total of 77.

I noted there was an interesting relationship between these two numbers, 17 and 77. I asked for you to think triangle and square.

The triangle of 17 is 153.

Do you have it now?

Remember that the natural squares are made by adding the natural odd numbers in order.

Got it now?

In my Book IV-"On the Square" I noted that we could find what square was being completed with any odd number by simply adding 1 to the odd number and dividing by 2.

So if we add 1 to 153 we get 154 and 154 divided by 2 is 77!

In other words, if we add 153 to 76x76 we get 77x77. So there is the interesting relationship between 17 and 77.

Is this just another coincidence in the Gann material or another clue to his methods?

C C ha h a pt p te e r r 1 1 0 0 -- - -G Ga an nn n' 's s U Us se e o of f " "1 17 7" "

I have shown you how the number 17 is possibly pointed at by Gann in his novel, "The Tunnel Thru the Air."

Is there any other evidence of the use of the number l7 in his other material?

I believe there is.

The number appears quite a bit in some of his astrological work, which you should check.

But just to show you at least one of those pieces of

astrological material, I have included a sheet from his "private papers." I think it speaks for itself.

Study carefully the enclosed graphic below.

B B oo o ok k V V II I II I

Th T he e S Si in n gl g le e Di D i g g i i t t N Nu um m b b er e ri in n g g S Sy ys st t em e m

C C ha h a pt p te e r r 1 1 -F - F ig i g ur u ri in ng g i in n B Be e d d i in n M My y H He ea ad d

One night as I was in bed I wanted to know where I would end up on the Square of Nine chart if I went out one square and up to the next 22.5 degree line, out another square and up to the next 22.5 degree angle, etc. and on around until I came back to the line which contains the odd squares, the 315 degree line.

In a few minutes I knew the answer. The next morning I checked it out on my calculator and I was right!

How did I accomplish that mental feat?

I did it through the use of the single digit numbering system I had worked out over the years. And after studying this book you will be able to do the same thing! If you cannot, I will show you how at the end of this book.

Why should we be interested in a single digit numbering system?

Gann seems to have used it, at least to some extent. We find that on page 112 of the "old" commodity course (Section 10, Master Charts, Square of Nine, page 2 in the "new" course) he says that you cannot go beyond nine without starting over.

I have read a few numerology books and as a student of Gann you probably have too. What they all have in common is the fact all numbers are reduced to single digits. That is accomplished by adding the numbers until you end up with a single digit.

For example we could use the number 1089 which you probably recognize from the Square of Nine chart as being the square of 33. We would add the numbers like this:

1+0+9+9=18

Then we would reduce the 18:

1+8=9

Let's look at the first 33 numbers in our natural numbering

system. As explained in Book IV-"On the Square" in my series "The PATTERNS of Gann" the "natural" numbers are numbers 1, 2, 3, etc.

That is, numbers that nave no fractional part.

We will list the numbers in the first column and in the second

we will reduce them to a single digit. Of course the first nine will be the same since they are already single digits:

1=1 we start the series all over again.

In my preface and in my previous books I have emphasized that the reader should always be on the lookout for PATTERNS.

As we work through this book I will often ask you to look for

the PATTERN as the search for the answers to Gann is the search for PATTERNS.

As we saw above, the PATTERN was very straight forward. We went from 1 through 9 and started over again. But you will see that we cannot go beyond nine without repeating the PATTERN even when the PATTERN is not as straight forward.

We can see that when we look at the squares. This time instead of looking at the first 33 natural numbers we will look at the first 33 squares made up of those natural numbers.

First we will list the square roots of the square, then the squares themselves and in the third column we will express the squares with their single digit values (SDV).

1x1=1=1 with the natural numbers in order. But, there is a PATTERN.

We can see that the first nine squares reduce to the single digits 1, 4, 9, 7, 7, 9, 4, 1, 9.

The squares 10 through 18 also reduce to the single digits 1, 4, 9, 7, 7, 9, 4, 1, 9.

Now check the next 9 squares and you will see that the squares reduce to the same single digits, proving what Gann said. You can never go beyond nine without starting over again.

Specifically you cannot go beyond the 9th "term" in a number

series which grows by the same increments each time. For example, the squares are made up of the odd series of numbers which grow by increments of two each time.

That not only works for squares but also for the other figures I discussed in my book Book VI-"The Triangular Numbers."

The beauty about the single digit system of numbers is that you can do some mental calculations and get answers without picking up a calculator. I have worked out some complicated Gann problems while driving my car.

Is 9,776 a triangular number?

Give it a try. I'll give you the answer at the end of this book.

Before we do some calculating let's have a look at the Square of Nine chart and see if we can discover some PATTERNS with our knowledge of the single digit numbering system.

Before reading further, look at your chart and give it a try and then come back to this material.

C C ha h a pt p te e r r 2 2 -T - T he h e N N in i ne e a as s Z Ze e ro r o

By the time you finish this you will be able to look at the

Square of Nine chart and find the PATTERNS as I suggested above.

We will start by playing a game. Games are fun and learning by games is a very easy way to learn!

Write down the year in which you were born, add your age, subtract your weight, add 3 for each pizza you ate this week, subtract 7 for each time you went to church or synagogue this week, add 13 if your favorite color is red, add 17 if it is blue, add 33 if it is green.

Now multiply your answer by 45. Sum your answer to a single digit in the same way that some writers summed the stock market top in October, 1987 when the top was 2722. it was summed as 2+7+2+2=13.

That's the way they left it and added their own reasons for doing so.

But let's finish the job as Gann would have done, 1+3=4. So make your answer a single digit, please.

I can guess your answer. It is 9!

If your answer does not agree with mine, then check it again as you made a mistake. I didn't. As Walter Brennan said in the "Guns of Will Sonnet," that's not brag, just fact.

Want to play again? Might as well. Ok. Go through the same

routine, only this time multiply your answer by 18 instead of 45.

Again, I can guess your answer. It is still 9!

And again if your answer does not agree with mine, check it again. You made a mistake somewhere.

A parlor game? Somewhat. But much more useful than might at first be realized.

In similar parlor games you are usually asked to start with a single number. Then it is multiplied and divided in certain ways, according to some mathematical formula, so that the operator knows the answer, much in the same way that the magician David Copperfield, guesses which car you are in on a train in his TV shows.

But look at the variables above. I have no way of knowing your age, how many pizzas you had, etc.

But I do have the knowledge of 45 and 18, the two things I did have control over. And therein lies the key!