The charts that follow had to be reduced to fit the web page so if you are having trouble seeing them and you have a high resolution like 1024 x 768 you might get better results changing to 800 x 600 resolution, but you can of course print out this page and get very good charts to study which is recommended.

Here we see an example of a Jenkins Box drawn from the first small upleg in 1999 and the box levels show price resistance at $48.73, $69.02 and $96.66. It might be emphasized that the third box is usually the maximum expansion so if a major trend will end it is usually at the third box level. In this case the final top was made on the third level of prices but at the second time period. The third time period ended the first leg down in the new bear market.

The above chart of the S&P Spyders shows three time cycle hits and the third one was the final high. Only one price target was given and that was indeed the final high price within pennies. These Jenkins Boxes can also be used from any high and when combined with a number of charts can often give major clues about when a bull market or bear market will start for the general market.

This above chart is another tool called the Jenkins Angle which has been shown in my books and course with a chart showing fractional harmonics. Here we take a high seen at the top left, segmented into eighths (or other harmonics). These eighth harmonic trendlines come up to catch the falling prices and when they intersect the top line a cycle turn is due. Observe the chart prices exactly underneath the "arrow" points of intersections. Since this example is in eighths note how the 4th one (1/2) called the big top and end of trend, and see how the market walked up that 50% trendline until the top was made. One very important point on all these charts is that you should remember that these examples are small web page "gif" files that have been expanded or shrunk to show up in reasonable size on this web page. On your computer the original program drawn ones would look crisp and sharp and can be manipulated endlessly until you find the perfect scale and fit. This angle tool also draws boxes not shown around the angles and intersecting points showing more support and resistance areas.

This next tool shown above, is the Jenkins Lines tool and it is the most essential basic one that I use all of the time and have written about extensively. Here we click on a major low and the computer draws a series of horizontal lines that are exact square root increments of the low (or a high). Based on the Gann Square of Nine principle that the square root of a number incremented by 2 and re-squared is one full circle around the wheel, these fractional roots are the minor stopping points all along the way and they are extremely precise. Note how these lines very precisely catch the highs and lows on this chart of the S&P Spyders.Tops and bottoms are almost always made exactly on these lines and rarely in between. If prices exceed one level they almost always go to the next level so good trades with high probabilities can be made with easily defined stop out points. These lines are at .25 square root increments so note that 8 of these lines would be the square root of the low plus 2 or once around the Gann Wheel. In this case the final top for the S&P was exactly that number. The actual tool allows you to increment by any amount which is great for research.

This next chart has the most important tool of all the Jenkins "True" Trendline. There are a number of lines on this chart so follow closely. The long green trendlines are the "true" trendlines. The computer automatically calculates these in a formula that creates a very specific line for each high and low based on that specific price and the calendar date. If you have a "True" trendline it will always work and can be relied on in trading. All GAPS in the chart are usually found and caused by these lines. All cycles arise from these mathematics. No other software in the world can draw these angles to my knowledge since this is the first time I have released the details of my discovery to any software company. To prove that these are indeed true angles I have drawn horizontal blue lines from the point on one Jenkins True TrendLine at the point the price hit the line and extended it over to the next angle. I then drew a red line straight up so you can see that time period and what happened to the price. You will note that in all cases a major reversal in trend at least for day trading purposes, was made. This will not happen with randomly drawn lines.

This is a chart showing the Jenkins True Trendlines starting from a high and going down. Here I have drawn a set of "fan" lines and you can easily put on as many as you like and adjust their slopes to mathematically correct time and price correspondences. Note how the stock's prices exactly respected these various angles proving their mathematical correctness. I have also drawn in a blue horizontal line to show what happens when true angles intersect prior highs and low price levels.

Finally I have combined two tools- the Jenkins Lines Tool with the Jenkins True Trendline. Now we can do some real time and price analysis since the Lines tool draws a set of square root increments related to the origin's price level while the true trendline creates the trend and when it intersects those levels big things usually happen. If you can see it on the chart there are three small green slashes at the start and then each 90 days over. I put these on since when you use a perfectly drawn trendline the stock's price will want to trade on that trendline on all harmonic cycle dates. The first 90 day cycle sees the price exactly on the trendline and the horizontal Jenkins Line. The second one at the 6 month interval misses so the very next day the stock explodes upward to catch up with the angle and the next set of Jenkins Lines. This is the real beauty of trading with accurately drawn trendlines- when the line is touched a major Gann "square out" is achieved.