Secondary control panel
Data output panel 2
Layers
Layer Manager

## The upper shaft angles

### Upper northern shaft

The geometric faces of the pyramid from the previous page (page B2) are shown highlighted in the drawing. The architecture of the pyramid's upper shafts is created from a series of geometric steps which are listed below and as you mouse over each item in this list the corresponding geometry will be highlighted on the interactive drawing.

• Line 1: A tangent line is constructed from the northern end of the base line to the principal ellipse.
• Line 2: A line is then constructed from this northern tangent point down to the base line's center point. This line intersects the pyramid's northern face at the point where the upper northern shaft exits to the outside world. Zoom in on the upper northern shaft exit area (click and hold) to see the intersect point in detail. Note that the geometric intersect point aligns with the bottom of the shaft.
• Line 3: In exactly the same manner on the southern side of the pyramid, a tangent line is constructed from the southern base end to principal ellipse.
• Line 4: A line is then constructed from this southern tangent point down to the base center point. This line intersects the southern face at the point where the upper southern shaft exits to the outside world. Zoom in on the upper southern shaft exit area (click and hold) to see the intersect point in detail. Note that the alignment of this geometric point is with the roof of the shaft and therefore has a different alignment to its northern counterpart.
• Line 5: The northern shaft's geometric construction line is created by drawing a line from the northern face intersect point perpendicularly to line 4.

If you display the upper northern shaft's information panel you will see that the angle of this geometric line is 32.6125° with the angle of the upper northern shaft surveyed using robotic inclinometers by the 'Upuaut' engineering team as 32.6023° ± 0.2°.

This geometric value of this shaft's angle is correct and because the static polar cross section of the Earth from which it is formed will be referred to again during later stages of this work, the ellipse will be named at this point as:

1st static reference ellipse
Polar cross section of the Earth

### Upper southern shaft

The angle of the geometric line forming the upper southern shaft is exactly 45° as you can see by clicking on it, which will bring up its object information panel, where the first angle data section shows that is the same as the surveyed angle for that shaft.

___________________
Last edited: 3rd July 2019
Last code/graphics edit: 29th March 2021