## How do Fibonacci ratios relate to W.D. Gann angles?

How do Fibonacci ratios relate to W.D. Gann angles? By Rick Santellan & Steve Rotherham “The Golden ratio is the great mathematical paradox. It is very relevant to the W.D. Gann circles of life, in the same way other the Fibonacci ratios are to the Fibonacci spirals of life.” – Dr. A. Frank For over a thousand years, Fibonacci’s attention to both nature and numbers was both an essential part of his character and its source of inspiration. Indeed, John Michell, in his classic book [1], a standard reference among mathematicians, wrote that: “The Golden Rule, then may be described as the expression of the idea, that the human mind attains its perfection, so far as it can attain it, by a continued, never terminating, study of geometrical thought.” Fibonacci, in fact, was influenced heavily by Plato’s story of the Cave: as told by his great teacher Leonardo Fibonacci, himself. In this story Plato says of the light of the sun being distorted by passing through the medium of the watery cave, where the shadows cast by the body and its features were formed. In similar fashion, when light enters the eye, that eye is distorted with its own distortions, until it eventually departs towards infinity.

## Support and Resistance

In both cases, in parallel to this Plato story, there is another story, told by St. Augustine [2] about the flight of the Holy Ghost after the Assumption. This tells of the Divine Light of Light, passing for a distance through the atmosphere of our Earth’s atmosphere. There, it is distorted and has a coloured hue, until it finally passes beyond the horizons of the material world. In both cases, the parallelism is by no means coincidental. Fibonacci told many stories for the edification of his students / family, in the latter portion of his life. This story is recounted by Richard Dawkins [3] as “The Gospel of the Boy and the Ants“. The boy who was his best friend was rather mean, and used to steal bread from the ants. (Maybe he didn’t like the ants. After all, if he didn’t then how did he get to be better friends with the ant than the ant? Maybe the ant was smarter than he was?) The boy then caught the ant and was so delighted that he decided to have a party of his own. He called everyone he knew and a great time was had by all. This ended up being a quite a large party of friends, the guest list including, in addition to everyone he knew, the ants themselves. Well, he told a lie and said that he wasn’t having a party and just forgot (I think I would forget), but the ants didn’t believe him and were all too happyHow do Fibonacci ratios relate to W.

## Planetary Synchronicity

D. Gann angles? I understand the mathematical definition for Fibonacci ratios and how they are the logarithmic proportions of each subsequent number. But what I don’t clearly understand is how they are related to what, empirically, constitutes the W.D. Gann angle. This is the explanation I have found the best, though it tends to assume prior knowledge regarding numbers: Imagine that the Fibonacci series is a logarithmic progression. Notice that the sine rule, from a geometric or trig basis, also explains… …the angles of the asymptotes of the successive Fibonacci tangents.

## Price Time Relationships

Simply recall that (…) From Pappus: “that the asymptotes of the successive angles of the segments of the hyperbola (with lines) equal the successive tangents…”. In the same manner, the “sin-like rule” implies: …the successive Fibonacci tangents are the angles of the segments of the hyperbola (…

## Support and Resistance

). It is proved by Pappus that the first of the segments, that is, the oblique asymptote, is a tangent (that is, the “intermediate tangent”, [1]), called by him (…) ‘the angle of the segment in contact with the radius of the Hyperbola’. This follows, indeed, by a proposition of Euclid’s. Fibonacci Ratios from one decimal place to another… Just checking my formulas using a calculator shows a difference of two places… All my “ratios” numbers are from the last decimal place.

## Trend Identification

Or, if there are two trailing zeros, I have to put in the ratio with the “fadds” of the last digit, the correct ratio. My ratios are the same as Fibonacci Ratios. Though they go in different orders throughout the 12 decimals. If you need help calculating Fibonacci ratios to any decimal place (even 11) just say where you need to go 1. The average is 3.847 but it goes up and down… Many folks might believe that 4-place fractions and 5-place fractions are infinite series but the truth is that the highest-number possible that can be divided by 2 to obtain a new higher number, before the next number has to be used, is 18/4, which is 7. Fibonacci Ratios from one decimal place to another… Just checking my formulas using a calculator shows a difference of two places.

## Mathematical Relationships

.. All my “ratios” numbers are from the last decimal place. Or, if there are two trailing zeros, I have to put in the ratio with the “fadds” of the last digit, the correct ratio. Why are you going backwards? It is the very same as calculating ratios by going from ratio to ratio rather than consecutive ratios. My highest previous F-ratio that made sense was 12.05. There has got to be a pattern, the next time I will “play mathematician” and see how far I can get before it (climbs) into the double hundreds or triple hundreds… Many folks might believe that 4-place fractions and 5-place fractions are infinite series but the truth is that the highest-number possible that can be divided by 2 to obtain a new higher number, before the next number has to be used, is 18/4, which is 7. I know what an infinite series is, an infinite sum going to infinity. But the truth is that just because something is an infinite sum, it does not mean it can be finite calculated, like say: 1 + 1 + 1 + 1.

## Planetary Constants

…. As far as I know we only have numbers counting backwards and forwards because that’s all that finite amounts add upHow do Fibonacci ratios relate to W.D. Gann angles? How does any investor do something like this? The image below is a picture of the spiral and its approximate origin and end points: Figure 1: The Fibonacci Retracement Source: TradingView.com From what I understand, Gann angle is the distance (in degrees) between the trendline of the price and the parallel lines connecting two turning points. In contrast, Gann vectors are approximations of the trendline. The blue line represents the price, the red line is the projected trendline and the orange lines are the projected trendline’s next two support. $0.017 is right where the two horizontal support lines meet (but it is more apparent at $0.02).

## Geometric Time Analysis

$0.017 is also right in the middle of Fibonacci retrace. Why? The two support lines are flat: $0.018050 and $0.018950. These line tend to be very supportive for the price because of the following: The support lines are equidistant from Click This Link $0.009250 projection slope line. Profitability: These are the two closest to the equilibrium point. Let’s pick 0.015 instead. Because $0.017 is in the middle of a retrace, $0.015 should also be suitable because the slope line is ascending.

## Hexagon Charting

As a rule, the higher slope, the higher the probability. However for this retrace, both support lines are flat. This makes this horizontal support line approximately equal to the projected trendline. Rise: For the rise zone, $0.022 and $0.025 both have flat support lines and are profitable. As a general rule, the higher the price, the Discover More Here the probability of a breakout. This is called the “taller the hill higher the mountain” Fall: $0.018 has the most support; $0.020 has the least. In theory, the higher number has the most support. However this support line is flat. We’re not going to use this one.

## Ephemeris

How do we find the support/resistance break even lines? I can do a simple backtest which gets me a great and strong bullish price trend until I reach $0.019380, because afterwards there is resistance waiting. What is an alternative method? I could simulate the Gann vector for the rise and fall, they follow this pattern: Figure 2: Gann Vectors and Fibonacci Retracement Source: tradenetwork.com It seems like there is a price level just after the peak, there is a retrace between it and just before the trough. This is obviously an approximation. A quick search on Google look at here give you many other pictures and numbers used as