HOME

Egypt
Origins

# The Luxor Ellipse

### An Analysis

Refer to Previous Discussion

I shall now consider the measured distances of the transverse line intersections with the horizontal and vertical lines of the rectangle, in order to verify the divisions proposed by Borchardt. From his diagram we see that Borchardt does not define "a" and "b" according to the half length and half width of the ellipse, as is customarily done, but applies the designations instead to the corresponding dimensions of the rectangle.

He then shows the intersections of the ellipse with the rectangle as ratios of "a" and "b," a/2 and a/3, respectively.

The half horizontal distance "a," is 1.387 cubits. The half vertical distance "b" is 0.847 cubits.

Property: Centimeters Cubits
Ellipse right to left

159.549

3.046

Ellipse top to bottom

103.642

1.978

Rectangle horizontal distance

144.992

2.768

Rectangle vertical distance

88.751

1.694

Right span

7.320

0.140

Left span

7.237

0.138

Top span

7.151

0.137

Bottom span

7.740

0.148

Right ellipse to center line

79.442

1.516

Center to left ellipse

80.107

1.539

Right rectangle to center line

72.122

1.377

Center to left rectangle line

72.870

1.391

 Respective Feature Measured cm Measured cubits Calculated Distances from Rectangle Edge in cubits Ratio to 1/2 Width or Length Values are the real measures on the Luxor wall Vertical Width = 1.694, Horizontal Length = 2.767 Vertical Half Width = 0.847, Horizontal Half Length = 1.387 Vertical Intersections Right Transverse Intersections Top 24.290 0.464 0.327 0.236 Bot 63.387 1.210 1.073 Left Transverse Intersections Top 24.623 0.470 0.333 0.240 Bot 63.221 1.207 1.070 Horizontal Intersections Top Transverse Intersections Right 37.099 0.708 0.568 0.410 Left 111.297 2.124 1.984 Bottom Transverse Intersections Right 36.426 0.695 0.555 0.400 Left 110.624 2.112 1.972

 Vertical Intersections Right Transverse Intersections Top 24.290 0.464 0.327 Bot 63.387 1.210 1.073 Left Transverse Intersections Top 24.623 0.470 0.333 Bot 63.221 1.207 1.070