再发英文一篇，请英国历史高手相助，这回我这三脚猫的蹩脚翻译不灵了

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The Square of 9 is probably W.D. Gann's most famous Master Chart. Many traders use
7 O: Y, e0 {# O& ?this chart regularly as a primary trading tool. However, it is my personal belief that most
& y/ F( `% G5 J, D( t, ?traders are only using a few simple techniques and are not fully utilizing the true potential
4 A& w6 F7 i$ j, A6 Fof this multidimensional Master Calculator.

+ d: z, d- P  xWhat is the Square of 9 The Square of 9 is basically a spiral of numbers starting with the
number one in the center (or apex of the Great Pyramid) with the number 2 immediately
. @6 {  z& j1 \# kto the left. The rest of the numbers spiral around the center in a clockwise fashion to the
& f+ N  Y- v/ _4 j& mnumber 9, which completes the first cycle of numbers around the center. 10 through 25
  f/ D- l( f/ K$ mcompletes the 2nd cycle, 26 through 49 completes the 3rd , etc… This particular
& Y9 X( T) ^% Garrangement of numbers creates a very unique square root relationship with other
numbers on the chart. Michael S. Jenkins illustrates some interesting square root trading
techniques utilizing the Square of 9 in his Gann Course and his book Chart Reading for
$ o3 M3 D/ \% OProfessional Traders. Basically, if you want to move around the coordinates on the Gann
Wheel you take the number you are interested in ( such as the all High or Low price)
/ F, `; p9 s. i' |+ T$ ntake the square root of the number, then add or subtract 2 from the root and resquare the
% ~, H; }3 a' {/ Dresult. Example: Lets say that we are interested in the price 664 (which is in the vertical
1 y, `9 B) r) ucolumn straight up from the center). The square root is 25.768 + 2 = 27.768^2 = 771
) E2 R+ |+ D4 Y; n6 Ywhich is the number directly above 664 or one full 360 degree cycle out from center. If
we subtracted 2 from the root and re-squared the number (25.768-2= 23.768^2 = 565 )
- F" Y- d$ J2 mwe would get 565 which is directly below 664 or one full 360 degree cycle in towards
2 H# b- J9 d9 S  M' M  e- Ucenter. Incorporating the Gann Emblem with this technique, allows us to calculate
8 u3 O# `7 B/ n! ncoordinates that are conjunct (360 = +/- 2 from the root), opposition (180 = +/- 1 from
% G: f* X7 J! V' e* d2 n' proot #), trine (120= +/- .666) (240= +/- 1.333), square (90 = +/- .5) (270= +/- 1.5) and
sextile (60 = +/- .333) (300 = +/- 1.666).
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This technique is extremely useful for finding coordinate squares on the Gann Wheel that
are making hard aspects to a previous position on the wheel. Also, Gann believed that the
numbers that connected the square base of the pyramid (the 4 corners of the square, i.e.
corner #'s.) to the “gravity center” and also the numbers that ran straight vertical and
) |4 a8 Y; m1 ?+ W% ^! g$ m" R# Uhorizon tal from the “gravity center” in the form of a cross (cardinal numbers) were very
important in balancing “Price & Time” on the wheel. He was basically looking for
9 \( m$ k. j/ @7 Z0 P: lastronomical longitudes to balance with price on these key angles. Pythagoras said “
Units in a circle or in a square are related to each other in terms of Price & Time at
specific points.” Gann often quoted the Bible, Emerson, Pythagoras and Faraday to name
a few. Basically, he was pointing the reader of his works to clues that would allow his
  B' v$ I) t- M7 t! Pstudent to unlock the code of his writing style.

Time around the outer perimeter of the Square of 9 is a circle with months and days. The
circular calendar starts on the left-hand side of the wheel on the same horizontal line as
the center block. The date is March 21st and refers to the start of the “natural” year in the
season of Spring with the Sun in Aries ^. “Lamb of God you take away the sins of the
world” ( Spring takes away the sins of Winter). The dates move around the circle
/ |! m) J; y: l2 i2 Z; v' \clockwise completing the calendar. This relationship allows the user to quickly identify
" k' r) u1 R+ L! ~4 C# W& K2 hdates that are Conjuct, Opposite, Square, Trine or sextile to a past calendar date relative
. x. l6 A) M0 D  C! wto the Sun / Earth relationship.
0 k  \& E+ u) V3 }* T4 D/ _
' A0 _+ W5 o* p4 C+ OIn Gann's Master Course for Stocks he said “ Within the circle forms the square, there is
an inner circle and an inner square, as well as an outer square and an outer circle which
prove the Fourth Dimension in working out price movements.” So far, we have covered
the inner circle ( The Earth's Orbit around the Sun) and the inner square ( Historic high &
low coordinates on the square itself). The outer circle includes all of the planets and is the
, l9 T6 T2 e( [4 Q& Z4 _Zodiac starting at the left side of the square also on March 21st. Moving from this point
+ _( @3 z" n; tclockwise in 30 degree sections of the circle will place all 12 zodiac symbols around the
# k6 g3 a+ G  K  B! p0 _% ~% R  }wheel (^_`abcdefghi). This completes the outer circle and allows the analyst to examine
planetary longitude relationships to price coordinates on the Square of 9, which is now an
outer square. In this way, we can convert planetary positions to prices relating to degrees
1 `- o1 S9 u9 B$ Vof a circle (Zodiac longitude) and also to coordinates on the Square of 9. We can also
' E4 n7 \% k  a8 @examine hard aspects to both zodiac longitude and Square of 9 coordinates. Furthermore,
( r/ ^  k8 m$ P1 M+ B4 z% `6 \5 h* Bwe can also use a first trade chart ( Natal Chart ), i.e. horoscope (another inner circle) to
9 r( @+ y% e$ h% Mlocate sensitive longitude positions that are being aspected by planets from the outer
circle making them “Live Angles”! Is there any end to this multidimensional tool? Gann
5 A( A% P  y2 v* I3 Whinted about this natal horoscope technique in his Master Course for Stocks by saying “
The dates when companies are incorporated and the dates when stocks are first traded in
on the New York Stock Exchange or the other exchanges causes them to make tops and
bottoms at slightly different dates then these dates for seasonal changes”. Gann also
illustrated this technique in his Soybean letter, which is well worth reading. I believe that
3 \# l# {$ E3 e7 \8 P9 I* X; Lthis is what Gann meant when he discussed “Natural Law”.

Gann said “ Through the law of vibration every stock and commodity in the market place
moves in its own distinctive sphere of activities,” (natal horoscope?) “ As to intensity,
4 C6 u' P, L, r: a( |volume and direction. All the essential qualities of its evolution are characterized in its
own rate of vibration. Stocks and commodities, like atoms, are really centers of energies,
therefore they are controlled mathematically. They create their own field of action and
( _) e: D, U$ Z9 [power, power to attract and repel, which explains why certain stocks and commodities at
0 h/ F* ^2 W7 e* @8 E8 `) p% ps lead the market and turn dead at other times. Thus, to speculate scientifically it is
absolutely necessary to follow Natural Law. Vibration is fundamental; nothing is exempt
7 j( B) a+ d4 M1 P0 S' _/ X, W& @$ gfrom its law. It is universal, therefore applicable to every class of phenomena on the
globe. Thus, I affirm every class of phenomena, whether in nature or in the market, must
- M" P2 K( V* W0 @be subject to the universal laws of causation, harmony and vibration.”

3 R% v3 |* n+ v( q" c3 UNobody knows for certain how Gann used this Master Calculator, but If you will study
this material and apply the techniques presented in this article, I think you will that
this is how Gann probably used this tool which proves the “4th dimension in working out
Time & Price movements”.

野菊花

tg0066

谢各楼主分享好东东，精彩翻译，指明前路！

lipg

gannch

http://bbs.88158.cn/viewthread.p ... 7%BD%F0%D7%D6%CB%FE
  Y2 d& J: ^& f% N在这里也有。

baresi1977

两段类似的翻译，第一段只有前半部分。

0 K8 B( ^$ ~7 h( a: w% _# |ZT
９方图也许是江恩最著名的图表了，许多交易者按照一定的方法来使用它。譬如说，把它当成一个最主要的交易工具。但是，我倾向于认为，多数的交易者只是在表层上使用它，而对于这个工具在多方面的潜在用途并没有完全理解并予以运用。
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: m5 ^4 a# Y$ n/ Z3 W九方图是什么

, n6 y& r) q1 t' A& S; x/ v0 G九方图从一开始。是一为中心（就像金字塔的顶部）右边是二排下去的一个螺旋形。其余的数字按顺时针方向在周围呈螺旋状下降至数字九，在中心的周围完成了一个循环。十至二十五是第二循环，二十六至四十九是第三循环。以此类推。在图表上，循环完成的这个位置很特别，这里的每一个数字都对应一个唯一的平方根。袁克斯．约翰曾经举出一些有趣的例子来说明如何利用平方根进行交易。他的江恩教程中用到九方图，这些图表为专业的交易人士所熟悉。基本方法是这样的：先在旋转的江恩九方图中找到你所关心数字的坐标位置，再求出数字的平方根，然后从平方根中加上或者减去二。下面我们来举个例子。假如我们关注的价格是６６４，（在从中心点引出的垂直角度线上），所能求出的平方根是25.768+2=27.768，再平方等于771。这个数字在６６４上一圈或者说在６６４从中心点又向外循环了三百六十度。如果我们从平方根减去2，我们会直接得到数字５６５（25.768-2=23.768，再平方等于565），它在664向内一圈或者说向中心方向循环了三百六十度。运用这种技术，我们得到如下坐标的计算方法：三百六十度位置上数字的平方根加上或者减去2；相对的一面，也就是一百八十度位置上数字的平方根加上或者减去1；三分之一也就是一百二十度位置上数字平方根加上或者减去0.666；三分之二也就是二百四十度位置上数字的平方根加上或者减去1.333；直角位置有两个，九十度加上或者减去0.5，二百七十度加上或者减去1.5；另外，六十度位置要加上或者减去0.333，三百度位置要加上或者减去1.666。以前，在江恩轮上要找到与某个位置的数字构成方形的数字所在位置是极端困难的，有了这种技术，就容易多了。同时，江恩相信，金字塔的方形基础与数字有联系（正方形有四个角，金字塔也是）。“引力中心”和从引力中心引出的垂直线以及水平线所构成的“十字交叉线”之上的数字很关键，他们对于轮子上“时间和价位的平衡”非常重要。江恩用天文学上的经度来从根本上说明这些角度如何达到价格平衡。毕达哥拉斯说，每一个特定点上的时间和价格都与单位圆以及单位正方形有联系。江恩时常用圣经，爱默生，毕达哥拉斯和法拉第来命名他的一些想法。江恩曾允许他的学生透露他的一些秘密，读者通过这些可以得到基本的线索。
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一篇有關江恩9的方圖譯文[轉貼]

# E3 d$ ?: J7 N( k7 F7 S9的正方或許是江恩最著名的智慧圖。許多交易者通常使用它爲基本的交易工具。然而，我個人認爲大多數交易者只使用了幾種簡單的技術，而忽視了這種多維智慧計算器的真正潛在功能。
2 J/ H9 m4 C( [7 x* }& o: v( |7 n  f( `; f什麽是9的正方？
+ Y) q! Z: _- T  [9的正方本上是一個數位螺旋，它以數位一爲中心（或金字塔的頂端），緊挨著的左邊就是二。剩下的數位螺旋就是圍繞著中心以順時針方向直到9，這樣就完成了中心周圍的第一圈。十到二十五構成了第二圈，二十六到四十九爲第三圈，以此類推。這種數位的特殊排列構成了與圓中其他數位的一種唯一的平方根關係。Michael S. Jenkins 在他的江恩課程和他的供專業交易員閱讀的名爲《讀圖》一書中證明了在使用九的正方時的一些有趣的平方根交易技術。基本上說，如果你想在江恩輪中挪動座標，你先選個感興趣的數位（如所有的高點或低點），然後取數位的平方根，在把結果加二或減二，然後再取平方根。例如，我們選價格664爲例，就是沿縱坐標從中心向上。它的平方根是：
$ @2 {0 b4 I* U, L% b! j  l25.768+2=27.768^2=771，它就在664的正上方，或者在從中心的出發的360度的圓。如果我們把平方根減二再取平方根（25.768-2=23.768^2=565）就可以得到565，他正在664的下邊或向中心的360度圓。江恩標誌加上這個技術，我們可以計算出聚合點（360=從根 +/- 2），反向 （180=從根+/- 1），三倍（120=+/- .666）(240=+/-1.333), 正方（90=+/-.5）（270=+/-1.5），還有六倍（60=+/-.333）（300=+/-1.666）這個技術在用於從江恩輪上確定座標非常有用。而且，江恩相信連接錐形正方形底（正方形的四個角）到重心的數位和以十字交叉的縱向和水平方向的數位在輪中用於平衡時間和價格非常有效。他還用星相的經度在這幾個重要的角中去平衡價格。畢達哥拉斯說圓中的或正方形的單位在一些特殊的點上以價格和時間相互關聯。江恩經常從聖經，Emerson, 畢達哥拉斯 和法拉第引用一些來命名。基本上說，他實在向他的讀者指出能讓他的學生發掘他的寫作風格的線索。
4 e1 D) g7 O7 U+ J% y時間
( Z% j5 F6 M$ b: d$ B) s: e圍繞著九的正方外圈是有月和天的圓圈。這個圓形的日曆始于在水平向上的輪的左邊作爲中心點。日期三月二十一日至的是在春季自然年的開始，此時太陽在白羊座。上帝之羊帶走了世上的罪惡(春季帶走了冬季的罪惡)。日期以順時針繞著圓轉完成了日曆。這個關係讓使用者很快能確定出以日地關係爲基礎的在過去的日曆日期的聚合點，反向，正方，三倍，或六倍方向的日期。
在江恩的股票課程中，他說道：“在圓中形成了一個正方形，其中有一個內圓和內正方形，同時還有外圓和外正方形，它們構成了價格運動的四圍空間。”現在，我們已經討論了內圓（地球繞日的軌道）和內正方形（在正方形上的歷史座標高低點）。外圓包括所有的行星而且黃道帶在三月二十一日始於正方形的左邊。從這點起順時針以30度爲基準繞圓運動會將所有12個黃道的標記置於輪周圍。這就完成了外圓，而且分析人員可以驗證在9的正方形上星球經度與價格的座標關係，它就是外圓。以這種方法，我們可以將星球位置以度數和9的正方的座標轉換成價格。還有，我們可以用第一次交易圖（誕生圖），如星象（另一個內圓），去定位從外圓被行星標記的敏感的經度位置而使他們成爲“活角”。到底這個多維工具有沒有截止？江恩暗示這個誕生星象技術時，講到：“當公司構成的日子和股票第一次在紐約證券交易市場或其他交易市場交易的日子引起了在不同日子的高低點，這些日期有季節性變化。”江恩還在他的值得一讀的大豆信中證明這一技術。我相信這就是江恩在導論自然法則時的所要指明的。
0 G) o) C. k* [. ~- h. w江恩說，根據震動法則，每只股票和市場上的商品都會根據自己獨有的星球運動而運動。（誕生星象）就象強度，量和方向。所有這些重要的性質都根據自己的震動率變化發展。股票和商品，象原子，就是能量的中心。他們創造了自己的運動和能量的場，吸引和排斥的力量，這就揭示了爲什麽一些股票和商品在某些時候帶領市場而在另一些時候又轉爲死氣沈沈。這樣，科學的說遵守自然法則是絕對需要的。震動是基礎；沒有任何東西可以從法則中豁免。它是通用的，因此地球上任何現象都是通用的。這樣，我肯定任何現象，無論是自然還是市場，一定都是遵循著不變的因果，和諧和震動法則。
沒有人明確怎樣運用江恩的計算器，但是如果你研究這些東西而且運用到這篇文章裏，我想你會同意江恩大概是如何運用這種可以證明在思維空間計算時間和價格運動的工具的。