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原文：
IMPORTANT NUMBERS FOR RESISTANCE - 12 to 100
11 to 12: This is an important point for resistance, both on Time and Price,
because 12 equals 12 months and 11¼ is 1/32 of a circle of 1/2 of
22½°.
15 and 16: The next important resistance point is 16, the square of 4. 15 is
important because it is 1¼ years.
18: An important number for resistance in Time and Price because it is
twice 9, 1½ times 12, 1/20th of a circle.
20½: The half-way point between 16 and 25, therefore important at times.
22½ and 24: 22½ is 1/16 of a circle, 1/2 of 45. The reason why stocks often make
top or bottom in the 23rd month is because the angle of 22½° comes
out at this point.
24 and 25: These are very important because 24 is twice 12 and 25 is the square
of 5 and 1/4 of 100.
26: When you consider the square of 4, which is 16, and the even square
of 6, which is 36, the half-way point between them is 26, which is
sometimes an important resistance point for Time and Price.
27 and 28: Important tops and bottoms often come out around 27 to 28 months,
and major or minor campaigns end on this time period. The reason for
this is that 4 times 7 is 28 and that 28 is 2-1/3 years. Three times 9 is
27 and anything that comes out on multiples of 3 is very important,
because it is the first odd number that we can square, as the square of
1 is 1.
30: Any half-way point or gravity centre is also important. Therefore, 30,
which is 2½ years, is an important time period for changes in trend.
Because 30½ is the half-way point between 25, the square of 25, and
36, the square of 6, it makes this period important.
34 to 36: 33¾ is 3/4 of 45. You will recall that the bear campaign which ended
in July, 1932, was 34 months from the 1929 top. It is always
important to watch for changes in trend around the 34th to 36th
months. 36 being the square of 6 makes this a strong resistance point.
Three times 12 or the end of the 3rd year is another reason for strong
resistance at this point.
39 and 40: 40 is a number referred to many times in the Bible. The children of
Israel wandered 40 years in the wilderness. The food lasted 40 days.
40 equals 3-1/3 years. 7/8 of 45 is 39-3/8. Forty is 1/9 of a circle. All
of this makes these numbers important for time periods and resistance
levels on price.
42: is the next important number for resistance in Time and Price. It is 3½
years of time or 1/2 of a 7-year cycle. Also, 42½ is the half-way point
between the square of 6 and the square of 7.
45: This is the master of all numbers because it contains all the digits from
1 to 9. The 45° angle divides the 90° angle in half, making it an
important gravity centre. It is 1/8 of 360 and 5 times 9. Fast moves
up or down often occur in the 45th month. On any kind of chart that
you make up with squares, you will find that 45 will come out on the
45° angle or a 90° angle or an angle that is the equivalent of these
angles. Notice how 45 comes out on the square of 9, the square of 20
and the square of 12, all proving that 45 is a Master Number. Use 45
in every way possible for measuring Price, Time, Space and Volume
movements.
48 and 49: are strong and important numbers for changes in trend. 49 is 7 times
7, or the square of 7, and 48 is 4 times 12, or the end of the 4th year.
On a decline to 49 to 50, a stock often meets resistance and has a good
rally from this point. The same with a stock on an advance to around
49 to 50, meeting resistance around this point and reacting to 45
anyway.
50: is important because it is one-half of 100. If we add 5-5/8 to 45, we
get 50-5/8.
52: This number has some importance because there are 52 weeks in a
year and 51-7/8 is one-seventh of a circle of 360°. It is 4-1/3 years.
52½ is the half-way point between 45 and 60, which makes this
important to watch for resistance.
56 and 57: These are very important because 56¼ is 45 plus 11¼ or the half-way
point between 45 and 67½. 56½ is the half-way point between 49 and
64.
60: This is one of the very important numbers to watch for resistance. It
is an important time period because it equals 5 years in time or 1/2 of
the 10-year cycle or 1/4 of a 20-year cycle. It is one of the most
important time periods after 45 to 49. 60 is 1/6 of the circle. Here
again we use the rule of 3, multiplying 20 by 3, we get 60. 60 is 1/3
of 180 and the halfway point between 45 and 75. Watch stocks that
advance to around 60 or decline to around 60. If they hesitate several
days, weeks or months, you will know that they are meeting resistance
at this point and a reverse move will occur.
63 to 64: 62½ is 5/8 of 100. 63 is 7 times 9. 64 is the square of 8, and is 5-1/3
years, and the next important point to watch after 60.
66 and 67: 66 is 5½ years or 5½ times 12. 67½ is 45 plus 22½ or 3/16 of a circle.
70 to 72: The number 70 is referred to many times in the Bible. It is three score
years and ten, the allotted span of the life of man. 70 is 7 times 10;
3½ times the 20-year cycle. 72 is 6 years and 72½ is the halfway
point between the square of 8 and the square of 9. 72 is 1/5 of 360. It
is also the square of 12 and a very important time period.
78 to 80: These are all important because 78-3/4 is 7/8 of 90; 80 is 4 times 20
and twice 40. 80 equals 1/18 of 360° circle and is 4/5 of 100. The
square of 9 is 81. Great resistance occurs around these price levels,
and the endings and beginnings of cycles take place around these
months as you will find by looking them up on your charts.
84 to 85: Strong resistance levels, because 84-3/8 is 15/16 of 90 and 84 is 7
times 12 and equals the 7-year cycle. At this point, the greatest
resistance is met before a stock reaches the 90th month or a price of
90. After it breaks under 90, it is the first important resistance level
below 90.
89 and 90: 90 is one of the strongest points of all because it equals a vertical
angle and represents 1/4 of the circle. 90½ is the half-way point
between 81 and 100, the square of 9 and the square of 10. In active
markets, moves straight up and straight down occur when the 90th
month, 90th week or 90th day is reached. The 90th month is the most
important, but the 90th week is also quite important.
You should always watch the 89th month for tops and bottoms and
important changes in trend. Many important campaigns begin and end
in the 89th month; some run to the 91st month. Note U.S. Steel
monthly 1915 to 1916 and see what happened around the 89th to 90th
months.
On the daily chart the change often comes on the 92nd to 93rd day,
but a movement often runs to around the 98th day before an important
change. It is important to watch this point on a daily chart.
95 to 96: This is 8 times 12. 95-5/8 is 90 plus 5-5/8 and quite a strong
resistance level for price and time changes. When an important time
period comes out on the 96th to 98th month, you will often find an
important change in trend because this is 8 times 12 and starts the 9th
year. The 9th year is always important and marks the ending of
important campaigns with extreme high or low prices.
Stocks often advance to 95 to 97 and fail to make 100; then they often
decline to 97 to 95 and meet strong support, rally and cross 100 again.
99 to 100: Important because 100 is the square of 10. 99 is 11 times 9. 100 is a
psychological number for the public to buy and sell, or to hope for
prices to reach. Stocks often go to 99 and fail to make 100 and often
decline to 99 and then start up again.
Study all of these important squares and gravity centers or half-way points and the
squares of numbers above 12, as shown on the 360° Circle Chart. All of these
mathematical points will help you to determine changes in trend and resistance
points.
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