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Positioning the secondary ellipse

At the moment the master and secondary ellipses have no defining properties other than the rotation angles, and so need to be placed somewhere within the geometric system. To start with, the secondary ellipse will be considered and as a temporary location it will be placed at the base center of the building, which is the only location available because it is the known position of the secondary ellipse from the earlier sections of this work (page B9).

Keeping both the east and north cross sections of the building on display you can now zoom in to show the lower section of the building. The secondary master ellipse is shown on the interactive drawing scaled so that it is at Aphelion and its base line, half the ellipse's circumference, is highlighted and shown as a green line and the length of this line of 44.548 m is shown in the object information panel. You can see that the left side of the highlighted line, which is 22.274 m long, matches the length of the rough tunnel that comes from the east wall of the lower chamber.

The secondary ellipse needs to be placed on the X and Y axes of the building so that its base line fits into this tunnel, and this can be achieved by vertically displacing it from its current position on the base of the pyramid by 22.274 m, or half the base length, as shown on this explanatory drawing whilst keeping its center on the Y axis of the pyramid.

The floor level of the rough tunnel in the lower chamber was surveyed as being 22.28 m above the bottom of the 1 cubit thick foundations of the pyramid where the secondary ellipse is currently centered, and the geometric level of the floor of the tunnel is 22.274 m above the ellipse's center point, giving an error of 5mm in the surveying. This confirms once again that the corrections made to the surveying of the internal architecture of the pyramid in the previous sections of this work are correct.

Having correctly positioned the secondary master ellipse on both the X and Y axes, the Z axis positioning can also be resolved by using the information that has just been discovered.

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Last edited: 8th July 2019