This is one of the most important and valuable discoveries that i have ever made, and if you stick strictly to the rule and always watch a stock when price is squared by time, or when time and price comes together you will be able to forecast the important change in trend with greater accuracy.

The squaring of price with time means an equal number of points up or down balancing an equal number of time periods either days, weeks or months. For example : if a stock has advanced 24 points in 24 days, then moving the 45 angle or moving-average-line up the rate of one point per day, the timing line or time period and the price of the stock are at the same level and the stock is resting on a 45 angle and you should watch for an important changes in trend at this point.

## Squaring the Range

When Gann angles are drawn inside a range, the angles provide the trader with a graphical representation of the squaring of the range. For example, if a market has a range of 100 and the scale is 1 point, a Gann angle moving up from the bottom of the range at 1 point per time period will reach the top of the range in 100 time periods. A top, bottom, or change in trend is expected during the time period when this occurs. This cycle repeats as long as the market remains inside the range.

## Squaring a Low

Squaring a low means an equal amount of time has passed since the low was formed. This occurs when a Gann angle moving up from a bottom reaches the time period equal to the low.

For example, if the low price is 100 and the scale is 1, then at the end of 100 time periods an uptrending Gann angle will reach the square of itself. Watch for a top, bottom, or change in trend at this point. The market will continue to square the low as long as the low holds.

A graphical representation of squaring a low price can be seen on a chart Gann called a zero-angle chart. This chart starts an uptrending angle from price 0 at the time the low occurred and brings it up at one unit per time period. When this angle reaches the original low price, a top, bottom, or change in trend is expected.

## Squaring a High

Squaring a high means an equal amount of time has passed since the high was formed. This occurs when a Gann angle moving down from a top reaches the time period equal to the high. For example, if the high price is 500 and the scale is 5, then at the end of 100 time periods a downtrending Gann angle will reach the square of itself. Watch for a top, bottom, or change in trend at this point. The market will continue to square the high as long as the high holds.

A graphical representation of squaring a high price can be seen on a zero-angle chart. This chart starts an uptrending angle from price 0 at the time the high occurred and brings it up at one unit per time period. When this angle reaches the original high price, a top, bottom, or change in trend is expected.

Time analysis in Gann Theory requires the trader to study market swings, anniversary dates, cycles, and the squaring of price and time to help determine future top, bottom, and change in trend points.

While the previous time studies require the trader to derive the data from actual charts, the basis of much of this analysis is drawn from Gann’s fundamental studies of financial astrology and his proprietary master charts. In the next section a brief discussion of the complexity of these two techniques is presented.

## Gann Time and Price

William D. Gann (1878-1955) was a legendary trader who designed several unique techniques for analyzing price charts. He developed a unique combination of precise mathematical and geometric principles which are not easy to grasp. Gann analysts have spent years pouring over old charts and writings in search of Gann’s secret, and there is no end to the number of people who claim to have discovered Gann’s insight and technique that has eluded everyone else. Perhaps someone has discovered it. I am not in a position to appraise all the claims because I am not a Gann expert and have not read Gann’s writings.

Don Hall has published a book and developed a system called Pyrapoint which seems to me to be well founded in Gann principles. The purpose of this article is to take one idea used in Don’s work, and present it from a different approach, and yet arrive at the same useful conclusion. I hope even Don will fi nd my article to be an original insight to substantiate the validity of his work.

Gann’s geometric angles are trend lines drawn from prominent tops or bottoms at certain angles. The most important angle is 45 degrees, which means the line’s slope is one unit of price per unit of time. (Note: Depending of the chart scale used, the line may or may not appear to be plotted at a 45 degree angle.) For years, I thought this is what Gann analysts meant by the phrase ‘squaring time and price.’ However, Don’s Pyrapoint method gave me a new insight, which is:

**Price = Time squared or P = t ^ 2**