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that was capable of accurately measuring the rotation of the circumpolar stars. The stars that surround the north pole, but do not ever set at northern latitudes, rotate anticlockwise as the earth perpetually rotates to the east. The net result is that one marker star could be chosen and geometrically aligned to its range of azimuth about north, allowing it to be transposed onto an observatory circle's diameter. As the marker moves upon this diameter, another transposition can take the star marker, at right angles to the diameter, and place the star marker "upon the earth", in its self evident-position above or below the diameter. Through this, the angle of the marker star about the north pole has been reproduced as the angle of the star marker about the centre of the circle. (See point 5 and associated diagram below)
1. Create a Circle of 1394 inches radius so that the perimeter will be divisible by 365 (for chronons of earth rotation) and 24 (for utility in expressing The Hours – an ancient concept), in inches. This is 17 megalithic rods of 82 inches, a slightly greater length than 2.5 megalithic yards of 32.625. This makes the circle the same size as Le Menec's Western Cromlech. (The significance of 82 day-inches is that the Moon retuens to the same place on the ecliptic every 82 days - see pdf on Simulators)
2. Define the northern corners of the squarethat contains the 1394 inch circle. These will become two marker stones for alignment to a specific circumpolar star.
3. The observer then travels south from the centre of the circle, establishing a backsight for observing the candidate stars at their maximum elongation in azimuth, either side of north, using the marker stones. Long Meg and her Daughters appears to have chosen Alkaid, eta Ursa Major. This same choice at Locmariaquer, further south, gives a lesser angle around 18 degrees relative to north whilst here Alkaid achieves a higher azimuth of 20.5 degrees and the core geometry will not be based on two triple squares.
4a. The invariant core of a Type B Flattened circle can then be used to construct a stone circle also having orientations to the sun and the moon within its stones. The normal method of construction involves a long rope from the circumference to two points either side of the axis. At the Alkaid angle, two pegs on the east-west diameter force the long ropes to describe arcs of lower radius but guaranteed to meet the arc shown above and the circumference, in a seamless way. The method can adapt to a wide range of circumpolar angles.
4b. In the case of Long Meg, the solar alignments to summer and winter solstice uniquely have, at that latitude, a separation of 90 degrees, a right angle. This makes the Sun shine along the diagonals of a single square.
5. The marker star can now be transcribed onto the 365 unit circle using its alignments during the night, on the northern horizon. The circle on the ground becomes a sidereal clock by night and can be kept running if the sun’s clockwise motion by day is reversed using a shadow stick, a starting marker and a rope to record cumulative motion.
The angle of the triple square relative to North is also the angle to Alkaid in two different periods, one corresponding to the dating of Locmariaquer which uses the triple square and one probably corresponding to Long Meg's use of different geometry (due to Long Meg's greater latitude), wrapped in a Type-B stone circle of Her Daughters. This technique would give a date for Long Meg's use of the marker star Alkaid as having started shortly after 3700 BCE.