The author of this very extraordinary work has discovered it, he says, in the use of the integral ratio of the diameter to the circumference of a circle, discovered by John A. Parker, of New York. This ratio is 6561 for diameter, and 20612 for circumference. Furthermore, that this geometrical ratio was the very ancient and probably the divine origin of what have now become, through exoteric handling and practical application, the British linear measures, “the underlying unit of which, viz., the _inch_, was likewise the base of one of the royal Egyptian _cubits_, and of the Roman _foot_.” He also discovered that there was a modified form of the ratio, viz., 113 to 355; and that while this last ratio pointed through its origin to the exact integral _pi_, or to 6561 to 20612, it also served as a base for astronomical calculations. The author discovered that a system of _exact science_, geometrical, numerical, and astronomical, founded on these ratios, and to be seen in use in the construction of the Great Egyptian Pyramid, was in part the burden of this _language_, as contained in, and concealed under, the verbiage of the Hebrew text of the Bible. The _inch_ and the two‐foot rule of 24 inches, interpreted for use through the elements of the circle and the ratios mentioned, were found to be at the basis or foundation of this natural, and Egyptian, and Hebrew system of science; while, moreover, it seems evident enough that the system itself was looked upon as of divine origin, and of divine revelation. But let us see what is said by the opponents of Prof. Piazzi Smyth’s measurements of the Pyramid. Mr. Petrie seems to deny them, and to have made short work altogether of Piazzi Smyth’s calculations in their Biblical connection. So does Mr. Proctor, the champion “Coincidentalist” for many years past in every question of ancient arts and sciences. Speaking of “the multitude of relations independent of the Pyramid, which have turned up while the Pyramidalists have been endeavouring to connect the Pyramid with the solar system,” he says: These coincidences [which “would still remain if the Pyramid had no existence,”] are altogether more curious than any coincidence between the Pyramid and astronomical numbers: the former are as close and remarkable as they are real; the latter, which are only _imaginary_ (?), have only been established by the process which schoolboys call “fudging,” and now new measures have left the work to be done all over again.(459) On this Mr. C. Staniland Wake justly observes: They must, however, have been more than _mere coincidences_, if the builders of the Pyramid had the astronomical knowledge displayed in its perfect orientation and in its other admitted astronomical features.(460)