 PIAZZA SMYTH AND PETRIE DISAGREE 315
Imtiation, coincide with those of the Great Pyramid, it is due to the fact that the former were derived from the latter through the Tabernacle of Moses.
That our author has undeniably discovered one and even two of the keys is fully demonstrated in the work just quoted. One has but to read it to feel a growing conviction that the hidden meaning of the allegories and parables of both Testaments is now unveiled. But that he owes this discovery far more to his own genius than to Parka and Piazzi Smyth,is as certain, if not more so. For, as just shown, whether the measures of the great Pyramid taken and adopted as Ile correct ones by the Biblical "Pyramidalists' are beyond suspicion, is not so sure. A proof of this is the work called "The Pyramids and Temples of Gizeh," by Mr. F. Petrie, besides other works written quite recently to oppose the said calculations, which were called biased. We gather that nearly every one of Piazzi Smyth's measurements differs from the later and mute carefully made measurement, of Mr. Petrie, who concludes the Introduction to his work with this sentence:
"As to the results of the whole investigation, perhaps many theories will agree with an American who was a warm believer in Pyramid theories when be came to Gizeh I had the pleasure of his company there for a couple of days, and at our last meal together he said to me in a saddened tone ó 'Well, sir! I feel as if I 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.'"
As regards the late J. Parker's calculation in general, and his third proposition especially, we have consulted some eminent mathematicians. and 'ha is she substance of what they say:
Parker's reasoning rests on sentimental, rather than mathematical, considerations, and is logically inconclusive.
Proposition III., namely, that ó
"The circle is the natural basis or beginning of all arcs, and the square being made so in mathematical science, is artificial and arbitraryó
is an illustration of an arbitrary proposition, and cannot safely be relied upon in mathematical reasoning. The same observation applies, even more strongly, to Proposition VII., which states that:
"Because the circle is the primary shape in nature and hence the basis of area; and because the circle is measured by, and is equal to the square only in ratio of half its circumference by the radius, therefore, circumference and radius, and not the square of diameter, are the only natural and legitimate elements of area, by which all regular shapes are made equal to the square, and equal to the circle."
Proposition IX. is a remarkable example of faulty reasoning. and it is the one on which Mr. Parker's Quadrature mainly rests. Here it is ó
 
