In Cheops, the ratios of apothem, half base and edge are, 34, 21, and 40, very nearly, thus, 34² + 21² = 1597, and 40² = 1600.
The dimensions of Cheops (from the level of the base of Cephren) to be what Piazzi Smyth calls a Π pyramid, would be—
| Half base | 210 | R.B. cubits. |
| Altitude | 267·380304, &c. | " |
| Apothem | 339·988573, &c. | " |
Altitude being to perimeter of base, as radius of a circle to circumference.
My dimensions of the pyramid therefore in which—
| Half base | = | 210 | R.B. cubits. |
| Altitude | = | 267·394839 &c. | " |
| Apothem | = | 340 | " |
come about as near to the ratio of Π as it is possible to come, and provide simple lines and templates to the workmen in constructing the building; and I entertain no doubt that on the simple lines and templates that my ratios provide, were these three pyramids built.
§ 6A. THE CASING STONES OF THE PYRAMIDS.
Figures 23, 24, and 25, represent ordinary casing stones of the three pyramids, and Figures 26, 27, and 28, represent angle or quoin casing stones of the same.
The casing stone of Cheops, found by Colonel Vyse, is represented in Bonwick's "Pyramid Facts and Fancies," page 16, as measuring four feet three inches at the top, eight feet three inches at the bottom, four feet eleven inches at the back, and six feet three inches at the front. Taking four feet eleven inches as Radius, and six feet three inches as Secant, then the Tangent is three feet ten inches and three tenths.