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

 

 

HOME BACK TO TOP