NOTE.

In preparing this work for publication I have received valuable help from the following friends in Queensland:—

E. A. Delisser, L.S. and C.E., Bogantungan, who assisted me in my calculations, and furnished many useful suggestions.

J. Brunton Stephens, Brisbane, who persuaded me to publish my theory, and who also undertook the work of correction for the press.

J. A. Clarke, Artist, Brisbane, who contributed to the Illustrations.

Lyne Brown, Emerald,—(photographs).

F. Rothery, Emerald,—(models).

and—A. W. Voysey, Emerald,—(maps and diagrams).

CONTENTS.

PAGE
§1. The Ground Plan of the Gïzeh Group [9]
Plan Ratios connected into Natural Numbers [13]
§2. The Original Cubit Measure of the Gïzeh Group [15]
§3.The Exact Measure of the Bases of the Pyramids [19]
§4.The Slopes, Ratios and Angles of the Three Principal Pyramids of the Gïzeh Group [20]
§5.The Exact Dimensions of the Pyramids[23]
§6.Geometrical Peculiarities of the Pyramids[28]
§6A.The Casing Stones of the Pyramids [32]
§7.Peculiarities of the Triangles 3, 4, 5 and 20, 21, 29[35]
§8.General Observations[38]
§9.The Pyramids of Egypt the Theodolites of the Egyptian Land Surveyors [41]
§10.How the Pyramids were made use of [44]
§11.Description of the ancient Portable Survey Instrument[51]
Table to explain Figure 60[64]
§12.Primary Triangles and their Satellites;—or the Ancient System of Right-angled Trigonometry unfolded by a Study of the Plan of the Pyramids of Gïzeh [64]
Table of some "Primary Triangles" and their Satellites [74]
§13.The Size and Shape of the Pyramids indicated by the Plan [77]
§14.A Simple Instrument for laying off "Primary Triangles"[79]
§14a. General Observations [80]
§15.Primary Triangulation [82]
§16.The Pentangle or Five-pointed Star the Geometric Symbol of the Great Pyramid [91]
Table showing the comparative Measures of Lines [96]
§17. The manner in which the Slope Ratios of the Pyramids were arrived at [104]

LIST OF WORKS CONSULTED.

Penny Cyclopædia. (Knight, London. 1833.)

Sharpe's Egypt.

"Our Inheritance in the Great Pyramid." Piazzi Smyth.

"The Pyramids of Egypt." R. A. Proctor. (Article in Gentleman's Magazine. Feb. 1880.)

"Traite de la Grandeur et de la Figure de la Terre." Cassini. (Amsterdam. 1723.)

"Pyramid Facts and Fancies." J. Bonwick.

General Plan of Gizeh Group