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    The Solution of the Pyramid Problem or, Pyramide Discoveries with a New Theory as to their Ancient Use
    The Solution of the Pyramid Problem or, Pyramide Discoveries with a New Theory as to their Ancient Use
    The Solution of the Pyramid Problem or, Pyramide Discoveries with a New Theory as to their Ancient Use
    Ebook155 pages1 hour

    The Solution of the Pyramid Problem or, Pyramide Discoveries with a New Theory as to their Ancient Use

    By Ballard Robert

    ()

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    LanguageEnglish
    PublisherArchive Classics
    Release dateNov 27, 2013
    The Solution of the Pyramid Problem or, Pyramide Discoveries with a New Theory as to their Ancient Use

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      Book preview

      The Solution of the Pyramid Problem or, Pyramide Discoveries with a New Theory as to their Ancient Use - Ballard Robert

      Project Gutenberg's The Solution of the Pyramid Problem, by Robert Ballard

      This eBook is for the use of anyone anywhere at no cost and with

      almost no restrictions whatsoever.  You may copy it, give it away or

      re-use it under the terms of the Project Gutenberg License included

      with this eBook or online at www.gutenberg.org

      Title: The Solution of the Pyramid Problem

             or, Pyramide Discoveries with a New Theory as to their Ancient Use

      Author: Robert Ballard

      Release Date: June 26, 2012 [EBook #40091]

      Language: English

      *** START OF THIS PROJECT GUTENBERG EBOOK THE PYRAMID ***

      Produced by Adrian Mastronardi, Hazel Batey and the Online

      Distributed Proofreading Team at http://www.pgdp.net (This

      file was produced from images generously made available

      by The Internet Archive/American Libraries.)

      This E text uses UTF-8 (unicode) file encoding. If the apostrophes, quotation marks and greek text [ἀπολύτρωσις] in this paragraph appear as garbage, you may have an incompatible browser or unavailable fonts. First, make sure that your browser’s character set or file encoding is set to Unicode (UTF-8). You may also need to change the default font.

      With the respectful compliments of the author.

      Address

      ,

      Mr. R. BALLARD

      ,                

      Malvern,

      ENGLAND.

      THE SOLUTION

      OF THE

      PYRAMID PROBLEM

      OR,

      PYRAMID DISCOVERIES.

      WITH A

      NEW THEORY AS TO THEIR ANCIENT USE.

      BY

      ROBERT BALLARD,

      M. INST. C.E., ENGLAND; M. AMER, SOC. C.E.

      CHIEF ENGINEER OF THE CENTRAL AND NORTHERN RAILWAY DIVISION

      OF THE COLONY OF QUEENSLAND, AUSTRALIA.

      NEW YORK:

      JOHN WILEY & SONS.

      1882

      Copyright

      ,

      1882,

      By JOHN WILEY & SONS

      .

      PRESS OF J. J. LITTLE & CO.,

      NOS. 10 TO 20 ASTOR PLACE, NEW YORK.

      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.

      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

      THE SOLUTION OF THE PYRAMID PROBLEM.

      With the firm conviction that the Pyramids of Egypt were built and employed, among other purposes, for one special, main, and important purpose of the greatest utility and convenience, I find it necessary before I can establish the theory I advance, to endeavor to determine the proportions and measures of one of the principal groups. I take that of Gïzeh as being the one affording most data, and as being probably one of the most important groups.

      I shall first try to set forth the results of my investigations into the peculiarities of construction of the Gïzeh Group, and afterwards show how the Pyramids were applied to the national work for which I believe they were designed.

      § 1. THE GROUND PLAN OF THE GIZEH GROUP.

      I find that the Pyramid Cheops is situated on the acute angle of a right-angled triangle—sometimes called the Pythagorean, or Egyptian triangle—of which base, perpendicular, and hypotenuse are to each other as 3, 4, and 5. The Pyramid called Mycerinus, is situate on the greater angle of this triangle, and the base of the triangle, measuring three, is a line due east from Mycerinus, and joining perpendicular at a point due south of Cheops. (See Figure 1.)

      Fig. 1.

      I find that the Pyramid Cheops is also situate at the acute angle of a right-angled triangle more beautiful than the so-called triangle of Pythagoras, because more practically useful. I have named it the 20, 21, 29 triangle. Base, perpendicular, and hypotenuse are to each other as twenty, twenty-one, and twenty-nine.

      The Pyramid Cephren is situate on the greater angle of this triangle, and base and perpendicular are as before described in the Pythagorean triangle upon which Mycerinus is built. (See Fig. 2.)

      Figure 3 represents the combination,—A being Cheops, F Cephren, and D Mycerinus.

      Lines DC, CA, and AD are to each other as 3, 4, and 5; and lines FB, BA, and AF are to each other as 20, 21, and 29.

      The line CB is to BA, as 8 to 7; the line FH is to DH, as 96 to 55; and the line FB is to BC, as 5 to 6.

      The Ratios of the first triangle multiplied by forty-five, of the second multiplied by four, and the other three sets by twelve, one, and sixteen respectively, produce the following connected lengths in natural numbers for all the lines.

      Figure 4 connects another pyramid of the group—it is the one to the southward and eastward of Cheops.

      In this connection, A Y Z A is a 3, 4, 5 triangle, and B Y Z O B is a square.

      I may also point out on the same plan that calling the line FA radius, and the lines BA and FB sine and co-sine, then is YA equal in length to versed sine of angle AFB.

      This connects the 20, 21, 29 triangle FAB with the 3, 4, 5 triangle AZY.

      I have not sufficient data at my disposal to enable me to connect the remaining eleven small pyramids to

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