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This paper presents the theory that in the Megalithic period, around 4500-4000 BCE, astronomical time periods were counted as one day to one inch to form primitive metrological lengths that could then be compared, to reveal the fundamental ratios between the solar year, lunar year, and lunar month and hence define a solar-lunar calendar. The means for comparison used was to place lengths as the longer sides of right angled triangles, leading to a unique slope angle. Our March 2010 survey of Le Manio (included) supports this theory.
Following the discovery of such a triangle at Le Manio near Carnac, Brittany, the authors conducted a theodolite survey to accurately establish that both three and four solar year counts had been made in day-inches along the azimuth associated with the midsummer sunrise at that latitude, an angle itself generated between the longer sides of a 3:4:5 triangle (the simplest Pythagorean triangle).
The Crucuno Rectangle exemplifies the fact that, at the latitude of Carnac in Brittany,
the solstice sun, in midsummer and midwinter, shines along the 5 side of a 3-4-5 triangle
with 4-side aligned east-west.
The difference in day-inches between three solar years and three lunar years was confirmed as being a megalithic yard of 32.7 inches within the monument, showing that the megalithic yard emerges naturally from day-inch counting the sun and moon over three years.
The basic truth about the Le Manio Monument is that through counting
solar and lunar years in day-inches, over a three year period,
the megalithic yard used around Carnac was naturally "manufactured".
The invariant proportion of this soli-lunar triangle can be seen at Le Manio as that formed by the diagonal between four squares of equal side length and this generates a natural reading of metres since the modern metre is 4/3 the day-inch count for a lunar month.
The monument reveals a 3 to 4 year relationship that involves the supposedly modern
unit of length, the Metre, as being 4/3 of the day-inch count for one lunar month
Finally, the angle of the Quadrilateral is revealed as adapted to the right angle of the three year triangle towards the East of its southern kerb.
The angle of the monument can be reproduced by extending the southern kerb and forming
a triangle to the east that relates the lunar month to the lunar orbit,
in interesting metrological ways
It can be inferred that later metrology was derived from such a starting point since the inch and an “English” foot of twelve inches are commensurate with the metrological units of the historical period.