Wednesday 5 August 2009

Calculations for Eildon - Forth Road Bridge line

The O.S. grid references for the chosen points:

NT 550 325 Eildon(point midway between two largest hills)
NT 315 587 Temple Kirk
NT 275 630 Rosslyn Chapel
NT 245 662 Hillend Fort
NT 239 668 Cross 'T'- Wood
NT 144 775 Dalmeny Kirk
NT 125 796 Forth Road Bridge(mid-point)

Transposed form, and fine-tuned to the metre:

3550.32 6325.24 Eildon
3315.24 6587.30 Temple Kirk
3275.05 6630.66 Rosslyn Chapel
3245.24 6662.06 Hillend Fort
3239.84 6668.10 T-Wood
3144.44 6775.08 Dalmeny Kirk
3125.40 6796.35 Forth Road Bridge


The Eildon from the south-east

Calculation of orientation and distance:

1) Dalmeny - Eildon

3144.44 6775.08 Dalmeny
3550.32 6325.24 Eildon
---------- ----------
0405.88(x) 0449.84(y)
---------- ----------

By Pythagoras' Theorem(sq.rt(x^2 + y^2)):

605.88 km*100 = 60,588 metres

(60,588*3.2808)/5280 = 37.65 miles(E); times (16.5/18.5)= 33.58 miles(S)

angle of orientation:

(x/y); tangent-1;

405.88/449.84 = 0.9022764= tangent 42.06 degrees.

2) Forth Road Bridge - Eildon

3125.40 6796.35 Forth Road Bridge
3550.32 6325.24 Eildon
---------- ----------
0424.92 0471.11
---------- ----------

By Pyhtag;

63,443 metres = 39.42 miles(E); 35.16 miles(S)

angle;

42.05 degrees

3) Rosslyn Chapel - Eildon


Rosslyn Chapel, circa 1995, pre-canopy

3275.05 6630.66 Rosslyn Chapel
3550.32 6325.24 Eildon
---------- ----------
0275.27 0305.42
---------- ----------

By Pythagoras;

41,116 metres = 25.55 miles(E); 22.79 miles(S)

angle;

42.03 degrees

For the moment, what needs to be seen is that using the mid-point of the two main Eildon summits, Rosslyn Chapel, Dalmeny Kirk and the exact mid-point of the Forth Road Bridge are in a direct line line, to within 0.03 degrees, over a distance of 39.42 miles(E). Excluding the Forth Road Bridge, which is 'surely' coincidental, Dalmeny Kirk and Rosslyn Chapel are within 0.01 degrees, over 37.65 miles(E). 0.01 degrees is, using the visual reference of a clock-face-minute(cfm)(6 degrees), 1/600th of one c.f.m., or 35 feet.

If the two main summits of Eildon are used as a 'gate', then the other points listed are contained within using Dalmeny Kirk as reference:

3144.44 6775.08 Dalmeny Kirk
3554.33 6329.10 Eildon (Ring Fort)
---------- ----------
0409.89 0445.98
---------- ----------

By Pythag. theorem: 60,573 metres = 37.64 miles(E); 33.57 miles(S)

angle of orientation: 42.59 degrees


Dalmeny Kirk

3144.44 6775.08 Dalmeny Kirk
3548.19 6323.03 Eildon (O.S. trig. cairn)
---------- -----------
0403.75 0452.05
---------- -----------

By Pythag. theorem: 60,610 metres = 37.66 miles(E); 33.59 miles(S)

angle of orientation: 41.77 degrees

So, the two summits give a spread between 42.59 - 41.77 degrees = 0.82 degrees.

This spread, or 'gate' of 0.82degrees, less than 1/7th of one clock-face-minute, though small in itself, is a large enough 'unit point area' to contain all the chosen points with Dalmeny Kirk as focal point at the other end.

Just for completion, the remaining three points listed, Temple Kirk, Hillend Fort and the plantation known as T-Wood, with reference to Dalmeny Kirk:


Temple Kirk

3144.44 6775.08 Dalmeny Kirk
3315.24 6587.30 Temple Kirk
---------- ----------
0170.80 0187.78
---------- ----------

By Pythag. theorem: 25,384 metres = 15.77 miles(E); 14.07 miles(S)

angle of orientation: 42.29 degrees


Hillend Fort from Roslin Main Street

3144.44 6775.08 Dalmeny Kirk
3245.24 6662.06 Hillend Fort
---------- ----------
0100.80 0113.02
---------- ----------

By Pythag. theorem: 9.41 miles(E); 8.39 miles(S)

angle of orientation: 41.73 degrees


T-Wood from below at Swanston

3144.44 6775.08 Dalmeny Kirk
3239.84 6668.10 T-Wood
---------- ----------
0095.40 0106.98
---------- ----------

By Pythag. theorem: 14,334 metres = 8.91 miles(E); 7.94 miles(S)

angle of orientation: 41.73 degrees



n.b. The T-Wood is centred on a high point with a cairn on top, but unmarked on the map. This was noted on a visit a few years back.

Now, the Eildon has been found in previous sections to be an important point, and is a recognized major, mystical, magical feature of the Borders landscape. From Iron Age Ring Fort, Roman Signal Station, on the banks of the Tweed, on the Phi latitude, a fairy mountain with Thomas The Rhymer associations, with Melrose and its Abbey at its feet. The geometric links are many, and with the special spots on this particular line, it is no doubt worthy of further study, in this instance how this line fits with other systems already considered.

A additional thought, perhaps worthy of consideration, is that the three hills of The Eildon are reminiscent of the three Pyramids of the Giza plateau, even the alignment of the three are similar, in that the two biggest are to the east of the third smallest, and the smallest is also offset from the two largest, just like at Giza, and the configuration is reminiscent of the belt stars of Orion, just like the Giza Pyramids have been equated with, by Bauval and Gilbert, and Hancock. Jeff Nisbet, a few years back, presented a convincing Orion system, using the three islands near North Berwick as the belt stars, and found the other stars, and Sirius quite convincingly marked in the landscape of the area on both sides of the Firth of Forth. We had a discussion going on this, but due to my loss of computer and internet access, tailed off back in 2003. A link on Jeff's website to Gary A. David's site concerns another Orion in the landscape of Arizona, which I had not known of previously: http://azorion.tripod.com/ which is very interesting and worthy of study.

I shall return to this eventually, but for now I wish to return to a system covered early on but was left unfinished. I feel I have now covered the main geometric systems found over the fifteen years now, and cleared the decks, so to speak.

No comments: