Tuesday, 29 April 2008

Schiehallion - Inchcolm

To complete this exercise I shall now compare the Inchcolm line with the Arthurs Seat line and perhaps some others. I am interested to see if there is some sort of system evident centered on Schiehallion.

2713.833 7547.736 Schiehallion
3189.700 6826.690 Inchcolm Abbey
--------- ----------
-475.867 0721.946

By Pythagoras theorem: 0863.92, which converts to 53.6815 miles(E), and 47.878 miles(S)

The angle to O.S Grid: 33.42352 degrees

The initial impulse for this exercise was noticing that the the lines from Schiehallion to Arthurs Seat and Inchcolm were separated by a very close approximation of one degree.

One of the findings of Haagensen and Lincoln, on Bornholm was a one degree construct, which was pointed out as having potential relevance as an example of a Medieval solution to a fact of geometric drawing that it is impossible to divide an angle into three, using the classic instruments of pen, compass and straight-edge. This is a purely technical problem, in that we use 360 degrees in a circle, which has a base of three, so that an angle of one degree is impossible under Pythagorean/Sacred geometry principles. I shall be discussing Bornholm later.

The angles from Schiehallion to:

34.4544 degrees: Arthurs Seat
33.4235 degrees: Inchcolm Abbey
01.0309 degrees

0.0309 derees is 1/194th of one-clock-face minute, the tangent of this angle being, 0.00054, which at 54 miles(E) is 154 feet, or 50 yards approximately. Certainly on the island.

I then checked the Preston Cross line and the Galachlaw phi-point line

Schiehallion to:
40.0061 degrees: Preston Cross
31.9024 degrees: Galachlaw phi-point
08.1037 degrees

Now, 8 degrees is easily divide three times to give one degree; and 8.1037 divide three times gives: 1.0129625 deg.

0.0129625 deg (1/463rd of one c.f.m.) has a tangent of 0.00022624, and at 63 miles(E) is 75 feet, or 25 yards.

So, some intriguing results but not a major concern at this moment.

8 degrees is 1/45th of a circle, so may be related to the circle divided into 15, 45 being three times fifteen. Perhaps relevant!

Friday, 11 April 2008

Google Maps line; Schiehallion - Galachlaw - Rubers Law

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Schiehallion - Galachlaw - Rubers Law

Back in the year 2000, I was driving south to England from Selkirk, early morning, to be in Lichfield for 9.30am.

From Hawick I took the A6088 towards Bonchester Bridge, and as the road took a turn east just after Kirkton, I was stunned by the hill silhouetted by the early dawn light:

On the way back later that day, I took another photo of the same hill:

I confirmed this hill to be Rubers Law, O.S grid reference: NT 579 155.

I had been working on some geometry, see previous Schiehallion - Eildon line post, and was discovering the landscape of the Borders as I went. Rubers Law was part of the discovery process. I can't quite describe the feeling of shocked awe when I turned east that morning to see the hill in the dawn light, dark and brooding in silhouette. I had to check the maps to see if and where it fitted in. With great amazement I found it to be in a direct line with Schiehallion and Galachlaw, the entre of the original pentagonal system previously described. Especially so since I had already confirmed the Schiehallion -Arthurs Seat - Eildon line.

When I got round to doing the detailed calculations, I was even more amazed to find that Galachlaw was indeed very close to the Phi-point.

A few calculations to show this:

Grid References (full, and normal forms)):

2713.83 7547.74 Schiehallion summit NN 714 547
3253.65 6683.21 Galachlaw cairn NT 253 683
3249.37 6687.44 Water Works mast( exact Phi-point) NT 249 686
3580.35 6155.75 Rubers Law summit NT 579 155


first calculation; Schiehallion - Rubers Law:

2713.83 7547.74 Schiehallion
3580.35 6155.75 Rubers Law
--------- ----------
0866.52 1391.99

By Pythagoras' theorem; 1639.66

which converts to 101.88 miles(E), and 90.87 miles(S)

The angle to grid north is 31.9024 degrees, using the tangent of the two calculated values above.

Second Calculation; Schiehallion - Galachlaw cairn:

2713.83 7547.74 Schiehallion
3253.65 6683.21 Galachlaw cairn
--------- ----------
0539.82 0864.53

By Pythag. 1018.22

which converts to 63.33miles(E)and 56.48miles(S)

angle to grid; 31.98075 deg.

using the English miles distances of both we ind the relationship to be 99.424% of Phi:

101.88/63.33 = 1.60872, which is 99.424% of 1.618034.

Galahlaw Cairn:

The exact Phi-point proves to be some 660 yards to the north west of the cairn, at point (3249.37 6687.44), which is in the Water works where a Mast is erected, normal grid reference NT 249 686.

view of gap between Hillend fort on right and Galachlaw with Water Works Mast to the left:

This mast can be seen to the left of this photo, with Hillend Fort to the right.

All I can say about this is that it was around this time that I came to strongly accept a 'sense of process' involving time and place, and which I for sure am not in control of. It is not just an excuse for me to be lazy in presenting all this material, it has taken years to get to, and I have learned to accept patience as an essential. All the geometry and correlations have in a sense been presented as and when 'this process' deems necessary. I no longer question this, it just happens when it does.


When plotting this line on Google Maps, I checked Fordell Castle which I had noted originally was on this line, and on calculation was found to be at the centre, Fordell Hill precisely, within the estate. Fordell was the home/seat of Nicholas 'Nicky' Fairbairn, a Tory MP, government Minister and somewhat extrovert.

As Galachlaw is at the phi-point of the line, there is another equivalent on the other side of the centre-point. On examination and confirmed by calculation, it was found to be White, or Hood Hill, NO 042 018, near Tullibole Castle, by Crook of Devon.
There is also a radio/electronics mast on Hood Hill!? (Once is chance, twice is coincidence...!)

(There was reported that a sign-post in Crook Of Devon had neatly printed under it: 'Twinned with Thief Of Baghdad'! - btw! lol)

In addition it was noted that Lauriston Castle is on this line, and Cramond Island. Lauriston Castle came to my attention in connection with John Napier of Merchiston, an Alexander Napier having owned it. Lauriston Castle proved subsequently to be a geometric node, and still to be described.

Cramond has been highlighted recently by Bill Buehler, in connection with the Roman lion staue with man in its mouth, which I also linked with John Napier, or the double lion-gate at Merchiston, in an e-mail exchange!

Monday, 7 April 2008

Google Maps trial

First attempt at drawing lines on Google Maps. This is the Schiehallion to Eildon Hills North line:

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It seems to be slightly off at Arthurs Seat in comparison to calculations and Google Earth. Needs to be considered further!?

I have also marked Newtongrange and Borthwick on this line now.