Bob’s Angle

by Robert M Sephton

Editor’s note: This article was not published in Earth Energy Matters, it comes from the archives of the Dowsing Research Group, but is included here for ease of reference as “Bob’s Angle” features in many other articles in this archive. Note: some of the mathematical formulae may have been damaged in transcription.

Some years ago I visited and dowsed on the Stone Rows at Merrivale, situated about three miles to the west of Princetown on Dartmoor (see Dowsing Merrivale Stone Rows, Earth Energy Matters, Issue 5, March 1997 – Ed). The complex consists of two pairs of stone rows, each pair being parallel, with a diverted stream or leat flowing from east to west between the pairs of stone rows. To the east the stream would normally have flowed down into the valley to the south of the complex but it has now been deliberately diverted around the shoulder of the hill to form a leat. There is sufficient gradient to encourage the leat to flow turbulently through the complex and on to a community some distance beyond. It has been in the community’s interest to maintain the leat for many years.

The complex consists of two parallel rows of stones to the north of the leat and a similar but longer parallel row of stones to the south of that leat. Both rows are at right angles to magnetic north, or very nearly so. Earth movements over the years have caused some deviation in the stone position alignments but not enough to prevent fairly accurate measurements. Both parallel rows are similar and in each row larger stones have been positioned at either end, the intermediate stones varying between about nine and eighteen inches in height. In each row the distance between stones varies between about 1 1/2 and 3 1/2 ft. Within each pair of parallel rows, the rows are 4 ft. apart,

To one side of the centre of the south row, but situated within that row pair is a small stone circle, rather like the shape of a ring doughnut. Some form of energies shuttle backward and forward along the stone rows, and without going into further detail, the site is so designed that the site layout resonates with that site’s construction material, i.e. silica.

So what is special about silica? The silica molecule consists of one atom of silica and two atoms of oxygen, each oxygen atom being either side of that silica atom. There is bond linkage between the silica and oxygen atoms, rather like a person holding out their arms, but these bond links are at a specific angle to one another. That bond angle is 109.471 0.

Figure l. illustrates this bond angle.

Fig. 1 Silicon Dioxide Bond Angle

Note that the bond angle of 109.471 0 = 900 + 19.471 0. I kept finding this angle of 19.471 0 elsewhere, so it must have some importance? It was some months later that I met Jim Lyons, at an EEG seminar, who explained it’s significance. Since that meeting he has frequently said “you know, your angle”; since when I have been ribbed, frequently, by all and sundry about “Bob’s Angle” — my claim to fame!

What is special about this 19.471 0 Bob’s angle? Subsequent investigations have revealed the fact that it relates to many items of every day life and to items not so obvious.

The following are just a few examples:

Religious systemsPre-Reformation churches
Vesica PiscisBow-wave of a boat
Buddhist meditation positionSilicon and Carbon molecules
Fibonacci seriesStone circles and earthworks
Crop circlesEarth Energies
Magnetic fieldsNubian pyramids

One of my early tutors was the late Wing Cmdr. Clive Beadon who told us about the energies to be found in a Church or Cathedral. The red and white (Mager Disc colours) energy lines are in a cruciform shape. At the crossing of the East to West alignment and the North to South (Transept) alignment, there is what he called a “Gold Spot”. From this position some form of energy radiates outwards along each of the red lines and then returns back along the white line. The building walls determine the “return” position, but where there is a tower present, even if it is open to the church, there is a “return”. Figure 2. illustrates the energy system and from where it is energised from the south east.

Fig. 2

When an Amethyst is placed at the “Gold Spot”, it changes the energy system. All lines change to violet (Mager Disc) and radiate outwards. The remains of a church stand in the centre of Knowlton Henge where Wessex Dowsers carried out an experiment. I stood on the “Gold Spot” with an amethyst at my feet and raised the flat of my hand so that it was facing where there were several dowsers, with their backs to me and in a line across the width of the church. Each dowser had a pendulum swinging and reacted whenever the flat of my hand faced them. Is this the origin of a “Blessing” by Clergy who used to have an amethyst in their Crosier or on the Altar?

Some Wessex Dowsers investigated this south-east line further, they found that where it passed through a gap in the bank it deviated to the south by about 19 0, and that there was a column of energy on the edge of the south side bank which caused this deviation. At a later date, upon investigation, I found that this column was about 1 foot wide and 5 feet high and responded to the colour violet (Mager Disc). To cause this deviation begs the question why and how does it do it? At Ely Cathedral and the Cathedral remains inside Old Sarum eathworks (Wiltshire) I have found the same deviation, and at the latter location the same three-dimensional violet column.

At Old Sarum from the “Gold Spot” to the deviation was 100 paces followed by 80 paces to an energising shape. This is a ratio of 5 to 4, a ratio frequently found at ancient sites. At Knowlton a similar ratio was found, despite a metal fence and muddy field! This 5 : 4 ratio also occurs at Winterbourne Nine Stones Circle, situated adjacent to the A35, five miles west of Dorchester. The mean diameter of the circle is 10 megalithic yards and to the inside of each standing stone is an identical energising shape, the mean diameter of the energising shape circle being 8 megalithic yards.

Examination of this energising shape, by dowsing, at all the various locations produced the following information. Its height was 8ft 6 1/2 ins, pointed at the top and bottom, and its mid height width about 3ft. Each top and bottom half was cone shaped; in fact it was two cones, the bottom one being inverted, with their bases common. Figure 3 shows a cross sectional side elevation.

Fig. 3

The Megalithic Yard = 2.72 ± 0.01 feet.

Pi ( Π ) = 71 = 3.14159 = %

Π  x 1 Meg. Yd. = 3.1459 x 2.72 = 8.545 ft. = 8ft. 6.54 ins.! This double cone has an apex angle of 38.942 0, which is 2 x 19.471 0 . This former angle is known as the Kelvin Wedge; more about this later.

Some years ago the Dowsing Research Group visited Beeston Castle, about 10 miles to the south east of Chester. It is reputed that a past king’s treasure, is or was, buried there in the underground tunnels (so far nothing has been found!). However, whilst everyone was dowsing, much to Jim Lyons’ amusement, I dowsed that the rectangular Inner Keep had been laid out on the basis of a very large double diamond, the entrance being at the mid-point of that shape. Designed by a Geomancer?

Further examination of this energising double cone revealed the following ratio of height to width; height = 442, width = 241. In other words 242 to 1.0 ( √ 1 = 1.0 ). But the tangent of 42 = 54.13560, hence 242 = 109.471 0, and this = 90 + 19.471 0. This latter number keeps falling out!

Clive Beadon also mentioned that he had found blue lines at the east end of churches, but I didn’t follow that up until some years later.

It was for a very specific reason that the early Christians adopted the fish sign as their symbol. This sign is derived from the Vesica Piscis. A vesicle is a small sac or cavity, especially one filled with fluid; Latin – vesica. Piscis; Latin – fish, the twelfth sign of the zodiac. Water is often related to energy; fish and water, what better representation! Figure 4. illustrates the Vesica Piscis and how a fish is represented.

Fig. 4 the Vesica Piscis and the fish

On further consideration I felt there had to be other reasons why a fish sign was adopted by the early Christians. This sign was known about as early as 4000 BC. From its shape the layout of flattened stone circles can be measured, and these circles date back to” BC times”. In general terms each Astrological age lasts about 2000 years. The “Age of Aries” (ram / sheep) was from 2000 BC to 1 AD. The “Age of Pisces” (fish) was from 1 AD to 2000 AD. We are now entering the “Age of Aquarius” (water).

Pisces was a “hidden” age, when things were kept secret or to oneself; the Aquarian age is an “open” age, little wonder as we enter it all the past financial and other abuses are coming out. The Vesica Piscis is also revealing its secrets.

From the Vesica Piscis various constructions, dimensions and angles are obtained and shown in figure 5.

Fig. 5

From Figure 5, if the radius of each circle is 1.0 (which is = √ 1), then, 42 and 45 lengths are obtained, and 43 is also indicated. “Oh dear” I hear you say, I’m not very good at maths! Don’t worry, all will be explained in very simple language. The Vesica Piscis shape can be drawn in sand on the beach, simply by using a length of cord. That length of cord can then be used to draw out all the other dimensions without the understanding of the mathematics.

In all probability many of the people who marked out the original circles were following a set of instructions, rather than having to understand the further ramifications. Being a bit nosey, I wished to understand the whys and wherefores!

From figure 5, using the dimensions of √ 1, 42, 43 & 45, the following shape can be produced, as shown in figure 6. In this figure only one half has been drawn, the other half being a left to right mirror image.

Fig. 6

But how did one produce a straight line? Simply by sighting a line of pegs or by joining a straight line between where two overlapping arcs cross, whose centres are at different positions. From the cone shape drawn in Figure 6, note the angles produced which are 19.471 0 and 35.26460, these are the important ones, as well as their relative lengths.

Pythagoras also plays a part in this work. Remember from school days that the length of the square on the hypotenuse is equal to the sum of the squares on the other two sides? No doubt you remember also the right angle ratios of 3 : 4: 5 and 5 : 12 : 13, but I bet you were never told this one, √ 1 : 42 : 43 ! But do- not worry about the mathematics, all is required is that length of cord and to be able to copy the relative lengths marked in the sand.

The apex angle in Figure 6 is 2 x 19.4710 . This as, already mentioned, is known as the “Kelvin Wedge”, after Lord Kelvin (1824 – 1907). When a ship or rowing boat, for example, moves through water it produces a bow wave of the angle 38.9420, which is 2 x 19.471 0. However if you look astern, you will see ripples on that bow wave. These ripples are at 35.26460 to the direction of travel. Now go back to Figure 6, its all there May I remind you that 900 – 35.26460 = 54.735 0 and 2 x 54.735 0 = 109.471 0, the silica bond angle. Next time you travel by boat tell that to the Skipper if you dare! Figure 7 illustrates the Kelvin Wedge.

Fig. 7 A Ship’s wake pattern

Not only does the 19.471 0 angle, or a derivation from it, appear in the above explanations, but in connection with Buddhist traditions, it is related to the Lotus meditation position. In Figure 8, note the 19.471 0 angles from shoulders to base, the 35.26460 from chin to feet, and also the 109.471 0 angle from knee to navel to knee. One gets the feeling that nature a series of set rules, 19.471 0 and 35.26460 being but two of them. After examining Figure 8, this latter angle of 35.26460 will be seen to take on a greater importance.

Fig. 8

Let it now be imagined that one has two bar magnets; each magnet having what is termed as a north and a south pole at opposite ends. Remembering that like poles repel and unlike poles attract, so that when those bar magnets are placed side by side, north poles adjacent, one will be repelled from the other. If now one bar magnet is placed above the other so that a north pole is adjacent to a south pole, then they will be attracted to each other. In view of this there must be a neutral position where there is neither attraction nor repulsion, this occurs at 35.26460 to that attraction position and was discovered by the German mathematician C. F. Gauss. ( 1777 – 1855 ).

This 35.26460 is the angle by which each wing of some supersonic aircraft are swept back, examples being the Russian MIG fighter and the American B2 Stealth bomber; this makes a wing leading edge to leading edge angle of 109.471 0, need I say more.

Figure 9 shows the result of Gauss’ work on ampere forces.

Note that: ∝ = 35.2640 = (90 – 19.471 0 ) / 2.

Fig. 9

One day I returned to Old Sarum in order to further examine the Cathedral remains and look for Clive Beadon’s blue lines which I hoped that I would be able to find. To my surprise, there they were, not just simple single lines but a much more complicated structure. In fact I had dowsed the double diamond shape but very much larger than earlier and with one apex facing due north. Each apex ( 2 x 19.471 0 ) position defined the total width of the Cathedral, with the 35.26460 positions marking the width of the Side Aisles and the Nave. Figure 10 illustrates this.

Fig. 10

Whilst early churches were probably built on this basis later ones simply made the Nave twice the width of a Side Aisle. In figure 10, “A” marks the position of an Apse if one is designed to be built. Further checks were carried out at Ely, Knowlton and Sturminster Marshall, although the latter two have no South Aisle and the shape projects beyond the south wall. I do have one problem here, it is a “chicken and egg” situation? Which comes first, the shape or the building?

It would now be useful to introduce the Fibonacci Summation Series. This series was the result of Fibonacci’s research into the reproduction rate, or more correctly, the numbers of rabbits produced over a period of time. Probably Fibonacci is better known as Leonardo de Pisa. ( c 1170 – c 1240 ).

The Fibonacci numbers are: (1), 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, etc. By adding the two previous numbers together, one obtains the next. When the higher numbers are being reached the deviation from the true ratio becomes smaller and smaller for larger and larger Fibonacci numbers.

This ratio is known as phi = 1.618034… (it is written with an ellipsis to indicate that the decimal part is infinitely long and non-repeating. Like Pi, Phi is an irrational, transcendental number – Ed.) Multiplying the lower number by 1.618034 produces the next, etc., etc.. Thus there is a number ratio of 1.0 : 1.618034, or if working in reciprocals, 1.0 : 0.618034. The ratio of 1.0 : 1.618 is the same as the ratio of O.618 : 1.0.

This 0.618 is also known as the “Golden Mean”. When looking at a picture which include features at 62% of the width or height of that picture, it looks and feels right. When looking at furniture with 3 : 5, or other Fibonacci ratio numbers, it looks attractive. One is simply resonating, if I may use that expression, with the same ratios in the human body. Two examples of body ratio are; the upper arm length to the lower arm is in the ratio of 1.0 : 1.618, and the width of the lower nose to the width of the mouth is attractive when in the ratio of 1.0 : 1.618. Numerous other examples abound (see The Golden Proportion by Grahame Gardner in Issue 23, March 2002 – Ed.). Having found that the human body’s design relates to the Fibonacci ratios, there is another aspect, the DNA helix has a slope angle of 35.265 0 , so there must be some form of interrelationship here.

Further interpretation of the Fibonacci ratio is to be seen at Kufu’s pyramid at Giza, in Egypt. This pyramid has a slope of 51.8270 . There is an indentation on each side but I am ignoring it, because I wish to deal with a general case. Cos. 0.618034 = 51.8270 , which is that slope’s angle to the horizontal. The ratio of half the base length to the length of one slope is 1.0 = 1.618. The height is the square root ( √ )of the length of one slope, thus the height is √ l.618 = 1.272. Is there a similarity to other figures here? When one considered that 90 0 – (2 x 19.4710) = 51.058 0, is this close enough to the pyramid angle to have some form of relationship? I am not the only one to have found small angle discrepancies, usually less than 0.80 . Could this be deliberate? Much more investigating is required into this matter.

Why should I be discussing Fibonacci? Following research over a number of years at ancient sites, I have found that there is a relationship between Bob’s angle of 19.471 0 and the Fibonacci Ratios.

In the Dorset – Hampshire – Wiltshire area there are many earth and stone circles such as the Badbury Rings, Buzbury Rings, Knowlton, Maiden Castle, Old Sarum, Figsbury Rings and Avebury to mention some of the more famous ones. Polarity dowsing„ (as on a battery), revealed that it did not matter whether there was a bank or ditch provided the respective height or depth was the same for that location. In other words one could substitute one for the other, Here am referring to locations such as Badbury Rings, for example, where there are three concentric earth banks rather than single items. My examination relates to a three item locations. Where the inner bank material. would not support the high angle of slope, then standing stones can be substituted. Avebury is such an example, whilst at Old Sarum one can still see the high angle of slope of the inner earth ring. Figure 11 illustrates the polarities dowsed.

Fig 11

Further detailed examination by dowsing, indicated that at each bank or ditch or standing stone position there was what I have termed an “Energy Wall”, whose width is usually between 9 and 15 inches. The wall edges responded to the colour blue, whilst the inner portion responded to the colour violet. (Mager Disc) Working from the outside bank inwards, I found that the respective energy wall heights, or depths in the case of ditches, were 1.0, 1.618 and 2.618, when measured from what was the original ground level. 1.0 + 1.618 = 2.618, also 1.618 x 1.618 = 2.618, most interesting!

In order to obtain these results it was necessary to stand on a step ladder on top of the bank, from which, using angle rods, one could ascertain the energy wall height. What other visitors to the site saw must have looked like a madman conducting an imaginary orchestra from a step ladder; I departed from the scene before questions could be asked or someone arrived to take me away!

Plotting the relative heights and horizontal distances to scale on graph paper, I realised the various implications. The respective outer to inner slopes commenced at angles of 45 0, 51 0 +, and 670 +, and that the whole cross-section was enclosed in an angle, from outer to inner, of approximately 2 x 19.471 0 . My findings were further confirmed by Gray’s Avebury middle ditch excavations in the first few years of the 1900 hundreds.

This is illustrated in figure 12.


When standing within these sites I dowsed that there was some form of resonance present. When I investigated this further I found that this resonance commenced at the middle bank or ditch and extended inwards. At this middle bank or ditch there was an energy type which I had not met before. It was a wall of energy which rose vertically to a height of 8ft 6 1/2 ins- from the actual ground itself, irrespective of how that ground level may have altered over the years. Familiar? That height is It x Megalithic yard. It formed a circular wall around the site, always at the middle bank / ditch position. Once it reached the above height, it turned inwards at an angle of about as far as it was able to be assessed. Since finding this, I and other dowsers have found a similar wall at some crop circles, but the top “effect” was not checked. This energy rose upwards as it went inwards, the shape being similar to the roof of a Chinese Pagoda. If one wishes to dowse this, start outside the complex and walk inwards whilst asking to be shown “resonance”. Keep checking your signal polarities, because some dowsers have found that signal reversal takes place at different positions.

At Meroe. Nuri and El Kuru in the Sudan, numerous Nubian pyramids and their remains abound. The site of Meroe is situated between the 5th and 6th River Nile cataracts and consists of many pyramids whose apex angle is 38.942 0 , i.e. 2 x 19.471 0 . Some of these pyramids are still complete and date back to 300 AD. However earlier ones date back to 500 BC, and excavations in that area have uncovered remains dating back to 2000 BC. What was the purpose of these pyramids? (Giza pyramids have an apex angle of 76.3450). It would be interesting to find out and understand their original purpose.

Anglesey (NW Wales) has many interesting sites including capping stones supported on three standing stones, frequently the capping stone is inclined to the horizontal at about 190 ; I wonder why?

When I asked Jim Lyons, who provided me with figures 7, 8 & 9, about the angle of 19.471 0, little did I realise its implications. The more one investigates the more one finds and at the same time realises what one doesn’t know, which in tum requires still more research! This is the way the world works; I hope the above can shed a small chink of light on the subject.

© March 2003 Robert M Sephton