Quote:218 Proceedings of The American Mctrologz'cal Society

The true measure of the base, while it does away with the fanciful notion of sacred cubits and days of the year, seems to . suggest another possibility which, though it may be esteemed quite as fanciful, must nevertheless, if true, be regarded as no less honorable than that to early Egyptian science. The base of the hyperbolic system of logarithms (usually represented by the character 6) is 2.71828. Let this number denote Pyramid inches, and it may be called an Egyptian palm.

Then ten Egyptian palms will be 27.1828 Pyramid inches, approaching nearly to the Russian measure of length called an archine (pro nounced arsheen) of 28 English inches exactly: and which may therefore be called a Pyramid arehine. We are now to suppose certain numbers, from their relations to certain geometrical solids, to have been regarded as type numbers.

Thus, if we take 1,000 as the type of the cube,

5232 becomes that of the cor responding sphere,

500 that of the triangular prism or wedge, and

333} that of the Pyramid. \

The north side of the great Pyramid has been found by Mr. Petrie to measure 9,069.5 English inches. Let us take this to the nearest even inch, 9,070, and reduce it to Pyramid inches ~by subtracting, according to Prof. Smyth’s rule, the one thousandth part; the result will be 9,060.93 Pyramid inches. Now, my hypothesis is, that the dimensions of the Pyramids base were determined by making the side equal to the Pyra mid archine taken as many times as there are units in the Pyramid type number. Thus, 27.1828 X 3333' = 9,060.93, which is precisely the number of Pyramid inches found in this dimension as actually measured.

Had a discovery of I this kind been made in the treatment of the orthodox, but unhappily fallacious, measurements of this monument on which the Pyramid- religion has been founded, no doubt it would have been announced with great exultation, as a convincing evidence of the high degree of advancement in mathematical science which had been attained by the builders of the Pyramid, or of the preternational light by which their hands had been guided.

Proceedings of the American Metrological Society

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American Metrological Society - 1884 - Weights and measures

The north side of the great Pyramid has been found by Mr. Petrie to measure ... Thus, 27.1828 X 3333' = 9,060.93, which is precisely the number of Pyramid ...

I do not anticipate the early or general accept ance of my theory. I content myself with the conviction that it is worthy to be accepted—or at least as worthy of acceptance as any which has been heretofore promulgated. And if I shall, though failing of such signal success, accomplish only so much as to induce some of my fellow men to apply a little common sense to the study of a subject which has been heretofore involved in an elaborate web of ingeniously contrived mys ticism, I shall feel that my labor has not been wholly thrown away. Posrsciurr. Since the foregoing paper was presented to the American Metrological Society, I have met with a recent work on the" Pyramids and Temples of Gizeh, Mr.,W. M. Flinders Petrie. Had I made acquaintance with this book earlier, I should have spared myself the trouble I have taken; for, by the array of new facts which it presents, it demolishes completely the pre tensions of the Pyramid religion, and burics, beyond all hope of ' resurrection, the ingenious theories of Mr. _Iohn Taylor and Prof. Piazzi' Smyth. But this is not what Mr. Petrie went to Egypt to do. When he visited Gizeh, his object was to carry out some lines of re _search which had been indicated by Prof. Smyth as still de~ sirable in order to the more full confirmation of the theory 216 Proceedings of The American Mctrological Society. set forth in his works. In his earlier life the author had been himself a true believer, and as the son of Mr. William Petrie, whose valuable contributions to the Pyramid theory are so fre quently referred to, and so warmly commended by Prof. Smyth, he was necessarily trained from infancy in the orthodox faith. I He manifested, in fact, so long ago as 1874, the sincerity and depth of his earlier convictions, by publishing a collection of “ Researches on the Great Pyramid,” evineing much study and labor, and prefaced in these words : " The following researches on this monument confirm these distinctive principles of its design and construction first an nounced by the Sagacity of John Taylor and Professor Piazzi Smyth, as they were set forth in Prof. Smyth’s first publication on the subject, ‘Our Inheritance in the Great Pyramid,’ first edition, published just ten years ago. The many fresh facts here noticed, while showing much further and interesting de velopment of those principles, add irrefragable proof of,their validity as against superficial theories, old and new.” It will be admitted that very thick scales must have fallen from the eyes of the man who wrote that before he could see clearly to pen the following closing paragraph of the preface to his new work : “ As to the results of the whole investigation, perhaps many theorists will agree with an American who was a warm believer in pyramid theories when he came to Gizeh. I had the pleasure of his company for a couple of days, and at our last meal together he said to me, in a saddened tone, ‘ Well, sir, I feel as if [had been to a funeral.’ By all means let the old theories have a decent burial, though we should take care that, in our haste, none of the wounded ones are buried alive.” Mr. Petrie took up his residence at Gizeh in December, 1880, and between that time and April, 1882, devoted nine months of continuous work to making careful measurements of all the monuments of the group, and conducting a trigonometrical sur vey of the entire plateau. It would be impracticable to give here in detail the results reached by him affecting Pyramid theories; neither is it necessary, for no one who has been par ticularly interested in the subject will fail to read this book. I Proceedings of The American Metrological Socicly. 217 will content myself with citing two only of these results: the two which afiect most vitally the inspiration theory of the Pyra mid, viz., the dimensions of the Pyramid's base, and the cubic capacity of the cofier. The length of the Pyramid’s base side was determined by Mr. I’etrie as Prof. Smyth might have determined it, and ought to have determined it, trigonometrically. He found the four sides equal, with a maximum difierence from the mean of all the measurements of only about an inch. The north and south sides,lbetweeu which the apparent difference is only a tenth of an inch, seem to be slightly in excess of the east'and west ; but the form of the base is sensibly a square. The. side of this square has been hitherto the unknown quantity in the Pyramid religion, but it has been a fundamental article in the creed that it should measure just 9,140 British inches. By the inexorable laws of trigonometrical science it is proved to measure, in fact, only 9,068.8 British inches. With this determination, the beautiful union of the sacred cubit and the length of the tropical year melts away into thin air, to be heard of no more among men. As to the cofier, its capacity is 71,960 cubic British inches; whereas, in order that it may be equal to the tenth part of a double sacred cubit cubed and multiplied by 5.7, it ought to be equal only to 71,464 cubic British inches, or to 71,250 cubic Pyramid inches. The error is only 500 cubic inches, but it is quite enough to secure for the standard unit of the Pyramid metro logical system an early place far away in the limbo of forgotten things. The cube root of 71,960 is 41.594, which exceeds the Karnak double cubit of. 41,472 byI0.122, or hardly an eighth of an inch. This approach to coincidence is sufiiciently near to make it probable that the constructors, if they were aiming at any determinate capacity, had in view the cube of a double royal cubit. Working in so difiieult a material, and in so early an age of human history, it should rather'surprise us that their error was so small, than that it is so large. The true measure of the base, while it does away with the fanciful notion of sacred cubits and days of the year, seems to 218 Proceedings of The American Mctrologz'cal Society. suggest another possibility which, though it may be esteemed quite as fanciful, must nevertheless, if true, be regarded as no less honorable than that to early Egyptian science. The base of the hyperbolic system of logarithms (usually represented by the character 6) is 2.71828. Let this number denote Pyramid inches, and it may be called an Egyptian palm. Then ten Egyptian palms will be 27.1828 Pyramid inches, approaching nearly to the Russian measure of length called an archine (pro nounced arsheen) of 28 English inches exactly: and which may therefore be called a Pyramid arehine. We are now to suppose certain numbers, from their relations to certain geometrical solids, to have been regarded as type numbers. Thus, if we take 1,000 as the type of the cube, 5232 becomes that of the cor responding sphere, 500 that of the triangular prism or wedge, and 333} that of the Pyramid. \ The north side of the great Pyramid has been found by Mr. Petrie to measure 9,069.5 English inches. Let us take this to the nearest even inch, 9,070, and reduce it to Pyramid inches ~by subtracting, according to Prof. Smyth’s rule, the one thousandth part; the result will be 9,060.93 Pyramid inches. Now, my hypothesis is, that the dimensions of the Pyramids base were determined by making the side equal to the Pyra mid archine taken as many times as there are units in the Pyramid type number. Thus, 27.1828 X 3333' = 9,060.93, which is precisely the number of Pyramid inches found in this dimension as actually measured. Had a discovery of I this kind been made in the treatment of the orthodox, but unhappily fallacious, measurements of this monument on which the Pyramid- religion has been founded, no doubt it would have been announced with great exultation, as a convincing evidence of the high degree of advancement in mathematical science which had been attained by the builders of the Pyramid, or of the preternational light by which their hands had been guided.

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I have already ‘pointed out in the foregoing paper, the evi dence furnished by the computed capacity of the cofier, of the knowledge possessed by these same architects of our common Proceedings of The American Metrological Society. 219 system of logarithms. This evidence disappears with the more exact measurement and computation of Mr. Petrie; but in its place arises the much more startling proof just given of their familiarity with the more interesting logarithmic system which, after their time, must have been lost to the world for some thousands of years, and was only res-discovered so late as the seventeenth century of the Christian era, by the ingenuity of Baron Napier. This coincidence is so suggestive, that I am almost tempted by it to make a study of all the remaining measures of the Pyra mid which Mr. Petrie has now at last given us correctly. Time fails me, however, and I must content myself with making a present of this discovery of mine to the apostles of the ancient Pyramid faith, with the expression at the same time of the hope, that they may find in it the fruitful germ of a new body of doc trine, to take the place of that which Mr. Pctrie has so remorse lessly swept away.

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Along the vines of the Vineyard.

With a forked tongue the snake singsss...

With a forked tongue the snake singsss...