Book xxx
. § 4. Archæologists are now fully aware of "the accord" of the ancient inhabitants of Britain with those of Persia and the other eastern branches of the Aryan race in many other particulars, as in their language, burial customs, etc. According to some Indian observers, stone erections, like our so-called Druidical circles, cromlechs, etc., are common in the East. Is it vain to hope that amid the great and yet unsearched remains of old Sanscrit literature, allusions may yet be found to such structures, that may throw more light upon their uses in connection with religious, sepulchral, or other services?]
[Footnote 220: Grimm thinks that the formulæ of Marcellus partake more of the Celtic dialects of the Irish, and consequently of the Scotch, than of the Welsh. As one of the shortest specimens of Marcellus's charm-cures, let me cite, from Pictet, the following, as given in the _Ulster Journal of Archæology_, vol. iv. p. 266:--"Formula 12. He who shall labour under the disease of watery (or blood-shot) eyes, let him pluck the herb Millefolium up by the roots, and of it make a hoop, and look through it, saying three times, '_Excicumacriosos_;' and let him as often move the hoop to his mouth, and spit through the middle of it, and then plant the herb again." "I divide," observes Pictet, "the formula thus: _exci cuma criosos_, and translate it, 'See the form of the girdle.'" After a long and learned disquisition on the component words Pictet adds--"The process of cure recommended in this formula is of a character altogether symbolical. Girdles (_cris_), which we shall meet with again in formula No. 27, seem to have performed an important part in Celtic medicine. By making the eye look through the circle formed by the plant, a girdle, as it were, was put round it; and it is for this reason that the formula says, see the form (or model) of the girdle. The
## action of spitting afterwards through the little ring expressed
symbolically the expulsion of the pain." The so-called Celtic word-charms in the formulæ of Marcellus are usually longer than the above; as, "_Tetune resonco bregan gresso_;" "Heilen prossaggeri nome sipolla na builet ododieni iden olitan," etc. etc.]
[Footnote 221: On this subject I elsewhere published, two years ago, the following remarks:--"The medical science and medical lore of the past has become, after a succession of ages, the so-called folk-lore and superstitious usages of times nearer our own. Up to the end of the last century, patients attacked with insanity were occasionally dipped in lakes and wells, and left bound in the neighbouring church for a night. Loch Maree, in Ross-shire, and St. Fillan's Pool, in Perthshire, were places in which such unfortunate patients were frequently dipped. Heron, in his _Journey through Scotland_ in the last century, states that it was affirmed that two hundred invalids were carried annually to St. Fillan's for the cure of various diseases, but principally of insanity. The proceedings at this famous pool were in such cases an imitation of the old Greek and Roman worship of Æsculapius. Patients consulting the Æsculapian priest were purified first of all, by bathing in some sacred well; and then having been allowed to enter into and sleep in his temple, the god, or rather some priest of the god, came in the darkness of the night and told them what treatment they were to adopt. The poor lunatics brought to St. Fillan's were, in the same way, first purified by being bathed in his pool, and then laid bound in the neighbouring church during the subsequent night. If they were found loose in the morning, a full recovery was confidently looked for, but the cure remained doubtful when they were found at morning dawn still bound. I was lately informed by the Rev. Mr Stewart of Killin, that in one of the last cases so treated--and that only a few years ago--the patient was found sane in the morning, and unbound; a dead relative, according to the patient's own account, having entered the church during the night, and loosened her both from the ropes that bound her body and the delusions that warped her mind. It was a system of treatment by mystery and terrorism that might have made some sane persons insane; and hence, perhaps, conversely, some insane persons sane. Mr. Pennant tells us that at Llandegla, in Wales, where similar rites were performed for the cure of insanity, viz., purification in the sacred well, and forced detention of the patient for a night in the church, under the communion-table, the lunatics or their friends were obliged to leave a cock in the church if he were a male, and a hen if she were a female--an additional circumstance in proof of the Æsculapian type of the superstition. But perhaps, after all, the whole is a medical or mythological belief, older than Greece or Rome, and which was common to the whole Aryan or Indo-European race in Asia before they sent off, westward, over Europe, those successive waves of population that formed the nations of the Celt and Teuton, of the Goth, and Greek, and Latin. The cock is still occasionally sacrificed in the Highlands for the cure of epilepsy and convulsions. A patient of mine found one, a few years ago, deposited in a hole in the kitchen floor; the animal having been killed and laid down at the spot where a child had, two or three days previously, fallen down in a fit of convulsions."--See the _Medical Times and Gazette_ of Dec. 8, 1860, p. 549.]
[Footnote 222: See, for example, Kemble's work on the Anglo-Saxons, vol. i. p. 528, for various Teutonic medical superstitions and cures.]
[Footnote 223: A very intelligent patient from the North Highlands, to whom I happened lately to speak on this subject, has written out the following instances that have occurred within her own knowledge:--"Twenty years or more ago, in the parish of Nigg, Ross-shire, there was a lad of fifteen ill with epilepsy. To cure him, his friends first tried the charm of mole's blood. A plate was laid on the lad's head; the living mole was held over it by the tail, the head cut off, and the blood allowed to drop into the plate. Three moles were sacrificed one after the other, but without effect. Next they tried the effect of a bit of the skull of a suicide, and sent for this treasure a distance of from sixty to one hundred miles. This bit of the skull was scraped to dust into a cup of water, which the lad had to swallow, not knowing the contents. This I heard from a sister of the lad's. There was a 'strong-minded' old woman at Strathpeffer, Ross-shire whose daughter told me that the neighbours had come to condole with the mother after she had fallen down in a fit of some kind. They strongly advised her to bury a living cock in the very place where she had fallen, to prevent a return of the ailment. A woman in Sutherlandshire told me that she knew a young man, ill of consumption, who was made to drink his own blood after it had been drawn from his arm. This same woman was ill with a pain in her chest, which she could get nothing to relieve; so her father sent off for 'a knowing man,' who, when he saw the girl, repeated some words under his breath, then touched the floor and her shoulder three times alternately, and with alleged success."]
[Footnote 224: In the first chapter of Adamnan's work, the miracle is again alluded to as follows:--"He took a white stone (_lapidem candidum_) from the river's bed, and blessed it for the cure of certain diseases; and that stone, contrary to the law of nature, floats like an apple when placed in the water."]
[Footnote 225: For other instances of waters rendered medicinal by being brought in contact with saint's bones--such as St. Marnan's head, with St. Conval's chariot, etc. etc., see Dalyell's _Superstitions of Scotland_, p. 151, etc. Sibbald's _Memoirs of the Edinburgh College of Physicians_, p. 39.]
[Footnote 226: See _Philosophical Transactions_ for the year 1713, p. 98. For instances of curing-stones in the Hebrides, see Martin's _Western Isles_, p. 134, 166, etc.]
[Footnote 227: I was lately told by the farmer at Nemphlar, in the neighbourhood of Lee, that in his younger days no byre was considered safe which had not a bottle of water from the Lee Penny suspended from its rafters. Even this remnant of superstition seems to have died out during the present generation.]
[Footnote 228: I state this on the high numismatic authority of my friend, Mr. Sim. Sir Walter Scott describes the coin as a groat of Edward I.]
[Footnote 229: Kemble's _Anglo-Saxons_, vol. i. p. 527, etc.]
[Footnote 230: See a case of this prohibition in the _Ecclesiastical Records of the Presbytery of St. Andrews_ for September 1643. "It is manifest by experience," says Upton, "that the seventh male child by just order, never a girle or wench being borne betweene, doth heall only with touching, by a natural gift, the king's evil; which is a speciall gift of God, given to kings and queens, as daily experience doth witnesse." See Upton's Notable Things (1631), p. 28. Charles I. when he visited Scotland in 1633, in Holyrood Chapel, on St. John's day, "heallit 100 persons of the cruelles, or kingis eivell, yong and olde."--Dalyell's _Superstitions_, p. 62.]
[Footnote 231: See the "_Charisma Basilicon_" (1684) of John Browne, "Chirurgion to His Majesty," for a full and charming account of the whole process and ceremonies of the royal "touch," the prayers used on the occasion, and due proofs of the alleged wondrous effects of this "sanative gift, which hath (says Dr. Browne) for above 640 years been confirmed and continued in our English Princely line, wherein is not so much of their Majesty shown as of their Divinity," and which is only doubted by "Ill affected men and Dissenters."]
[Footnote 232: See the _Gentleman's Magazine_ for December 1787.]
IS THE GREAT PYRAMID OF GIZEH A METROLOGICAL MONUMENT?
The following observations form a corrected Abstract, from No. 75 of the _Proceedings of the Royal Society of Edinburgh_, of a communication made to that Society on the 20th January 1868, and entitled _Pyramidal Structures in Egypt and elsewhere; and the Objects of their Erection_. Some additional points are dwelt upon in the Notes and Appendix. As stated at the time, the communication was not at all spontaneous, but enforced by the previous criticisms of Professor Smyth.
There are many proposed derivations of the word Pyramid. Perhaps the origin of the name suggested by the distinguished Egyptologist, Mr. Birch, from two Coptic words, "_pouro_," "ing," and "_emahau_," or "_maha_," "tomb,"--the two in combination signifying "the king's tomb,"--is the most correct. "_Men_," in Coptic, signifies "monument," "memorial;" and "_pouro-men_," or "king's monument," may possibly also be the original form of the word.[233]
Various English authors, as Pope,[234] Pownall,[235] Professor Daniel Wilson,[236] Burton,[237] had long applied the term pyramid to the larger forms of conical and round sepulchral mounds, cairns, or barrows--such as are found in Ireland, Brittany, Orkney, etc., and also in numerous districts of the New and Old World;[238] and which are all characterised by containing in their interior chambers or cells, constructed usually of large stones, and with megalithic galleries leading into them. In these chambers (small in relation to the hills of stone or earth in which they were imbedded) were found the remains of sepulture, with stone weapons, ornaments, etc. The galleries and chambers were roofed, sometimes with flags laid quite flat, or placed abutting against each other; and occasionally with large stones arranged over the internal cells in the form of a horizontal arch or dome. In his travels to Madeira and the Mediterranean (1840), Sir W. Wilde details in interesting terms his visit to the pyramids of Egypt; and in describing the roof of the interior chambers of one of the pyramids at Sakkara,[239] he remarks on the analogy of its construction to the great barrow of Dowth in Ireland; and again, when writing--in his work on the _Beauties of the Boyne_ (1849)--an account of the great old barrows of Dowth, New Grange, etc., placed on its banks above Drogheda, he describes at some length the last of these mounds (New Grange),--stating that it "consists" of an enormous cairn or "hill of small stones, calculated at 180,000 tons weight, occupying the summit of one of the natural undulating slopes which enclose the valley of the Boyne upon the north. It is said to cover nearly two acres, and is 400 paces in circumference, and now about 80 feet higher than the adjoining natural surface. Various excavations (he adds) made into its sides and upon its summit, at different times, in order to supply materials for building and road-making, having assisted to lessen its original height, and also to destroy the beauty of its outline." Like the other analogous mounds and pyramids placed there and elsewhere, New Grange has a long megalithic gallery, of above 60 feet in length, leading inward into three dome-shaped chambers or crypts. After describing minutely, and with a master-hand, the construction of these interior parts, and the carvings of circles, spirals, etc.,[240] upon the enormous stones of which the gallery and crypts are built, Sir William Wilde goes on to observe:--"We believe with most modern investigators into such subjects, that it was a tomb, or great sepulchral Pyramid, similar in every respect to those now standing by the banks of the Nile, from Dashour to Gizeh, each consisting of a great central chamber containing one or more sarcophagi, entered by a long stone-covered passage. The external aperture was concealed, and the whole covered with a great mound of stones or earth in a conical form. The early Egyptians, and the Mexicans also, possessing greater art and better tools than the primitive Irish, carved, smoothed, and cemented their great pyramids; _but the type and purpose is all the same_.... How far anterior to the Christian era its date should be placed would be a matter of speculation; it may be of an age coeval, or even anterior, to its brethren on the Nile."
Other pyramidal barrows at Maeshowe, Gavr Inis, etc., were referred to and illustrated; showing that a gigantic sepulchral cairn was in its mass an unbuilt pyramid; or, in other words, that a pyramid was a built cairn.
SEPULCHRAL CHARACTER, ETC., OF THE EGYPTIAN PYRAMIDS.
All authors, from the Father of History downwards, have generally agreed in considering the pyramids of Egypt as magnificent and regal sepulchres; and the sarcophagi, etc., of the dead have been found in them when first opened for the purposes of plunder or curiosity. The pyramidal sepulchral mounds on the banks of the Boyne were opened and rifled in the ninth century by the invading Dane, as told in different old Irish annals; and the Pyramids of Gizeh, etc., were reputedly broken into and harried in the same century by the Arabian Caliph, Al Mamoon,--the entrances and galleries blocked up by stones being forced and turned, and in some parts the solid masonry perforated. The largest of the Pyramids of Gizeh--or "the Great Pyramid," as it is generally termed--is now totally deprived of the external polished limestone coating which covered it at the time of Herodotus's visit, some twenty-two centuries ago; and "now" (writes Mr. Smyth) "is so injured as to be, in the eyes of some passing travellers, little better than a heap of stones." But all the internal built core of the magnificent structure remains, and contains in its interior (besides a rock chamber below) two higher built chambers or crypts above--the so-called King's Chamber and Queen's chamber--with galleries and apartments leading to them. The walls of these galleries and upper chambers are built with granite and limestone masonry of a highly-finished character. This, the largest and most gigantic of the many pyramids of Egypt, had been calculated by Major Forlong (Asso. Inst. C. Engrs.), as a structure which in the East would cost about £1,000,000. Over India, and the East generally, enormous sums had often been expended on royal sepulchres. The Taj Mahal of Agra, built by the Emperor Shah Jahan for his favourite queen, cost perhaps double or triple this sum; and yet it formed only a portion of an intended larger mausoleum which he expected to rear for himself. The great Pyramid contains in its interior, and directly over the King's Chamber, five entresols or "chambers of construction," as they have been termed, intended apparently to take off the enormous weight of masonry from the cross stones forming the roof of the King's Chamber itself. These entresols are chambers, small and unpolished, and never intended to be opened. But in two or three of them, broken into by Colonel H. Vyse, a most interesting discovery was made about thirty years ago. The surfaces of some of the stones were found painted over in red ochre or paint, with rudish hieroglyphics--being, as first shown by Mr. Birch, quarry marks, written on the stones 4000 years ago, and hence, perhaps, forming the oldest preserved writing in the world. These accidental hieroglyphics usually marked only the number and position of the individual stones. Among them, however, Mr. Birch discovered two royal ovals, viz., Shufu (the Cheops of Herodotus) and Nu Shufu--"a brother" (writes Professor Symth) "of Shufu, also a king and a co-regent with him." Most, if not all, of the other pyramids are believed to have been erected by individual kings during their individual or separate reigns. If these hieroglyphics proved that _two_ kings were connected with the building of the Great Pyramid, that circumstance would perhaps account for its size and the duplicity and position of its sepulchral chambers.[241]
The pyramid standing next the Great Pyramid, and nearly of equal size, is said by Herodotus to have been raised by the brother of Cheops. The other pyramids at Gizeh are usually regarded as later in date. But the exact era of the reign or reigns of their builders has not as yet been determined, in consequence of the break made in Egyptian chronology by the invasion of the Shepherd Kings.
In their mode of building, the various pyramids of Gizeh, etc., are all similar, and the Great Pyramid does not specially differ from the others. "There is nothing" (observes Professor Smyth) "in the stone-upon-stone composition of the Great Pyramid which speaks of the mere building problem to be solved there, as being of a different character, or requiring inventions by man of absolutely higher order than elsewhere." But the Great Pyramid has been imagined to contain some hidden symbols and meanings. For "it is the manner of the Pyramid" (according to Professor Smyth) "not to wear its most vital truths in prominent outside positions."
ALLEGED METROLOGICAL OBJECT OF THE GREAT PYRAMID.
By several authorities the largest[242] of the group of pyramids at Gizeh, or "Great Pyramid," has been maintained--and particularly of late by Gabb, Jomard, Taylor, and Professor Smyth--not to be a royal mausoleum, but to be a marvellous metrological monument, built some forty centuries ago, as "a necessarily material centre," to hold and contain within it, and in its structure, material standards, "in a practicable and reliable shape," "down to the ends of the world," as measures of length, capacity, weight, etc., for men and nations for all time--"a monument" (in the language of Professor Smyth) "devoted to weights and measures, not so much as a place of frequent reference for them, but one where the original standards were to be preserved for some thousands of years, safe from the vicissitudes of empires and the decay of nations." Messrs. Taylor and Smyth further hold that this Great Pyramid was built for these purposes of mensuration under Divine inspiration--the standards being, through superhuman origination and guidance, made and protected by it till they came to be understood and interpreted in these latter times. For, observes Professor Smyth, "the Great Pyramid was a sealed book to all the world _until_ this present day, when modern science, aided in part by the dilapidation of the building and the structural features thereby opened up--has at length been able to assign the chief interpretations." Professor Smyth has, in his remarkable devotedness and enthusiasm, lately measured most of the principal points in the Great Pyramid; and for the great zeal, labour, and ability which he has displayed in this self-imposed mission, the Society have very properly and justly bestowed upon him the Keith Medal. But the exactitude of the measures does not necessarily imply exactitude in the reasoning upon them; and on what grounds can it be possibly regarded as a metrological monument and not a sepulchre, is legitimately the subject of our present inquiry. In such an investigation springs up first this question--
_Who was the Architect of the Great Pyramid?_
Mr. Taylor ascribes to Noah the original idea of the metrological structure of the Great Pyramid. "To Noah" (observes Mr. Taylor) "we must ascribe the original idea, the presiding mind, and the benevolent purpose. He who built the Ark, was of all men the most competent to direct the building of the Great Pyramid. He was born 600 years before the Flood and lived 350 years after that event, dying in the year 1998 B.C. Supposing the pyramids were commenced in 2160 B.C. (that is 4000 years ago), _they_ were founded 168 years before the death of Noah. We are told" (Mr. Taylor continues) "that Noah was a 'preacher of righteousness,' but nothing could more illustrate this character of a preacher of righteousness after the Flood than that he should be the first to publish a system of weights and measures for the use of all mankind, based upon the measure of the earth." Professor Smyth, computing by another chronology, rejects the presence of Noah, and makes a shepherd--Philition, slightly and incidentally alluded to in a single passage by Herodotus[243]--the presiding and directing genius of the structure;--holding him to be a Cushite skilled in building, and under whose inspired direction the pyramid rose, containing within it miraculous measures and standards of capacity, weight, length, heat, etc.
THE COFFER IN THE KING'S CHAMBER IN THE GREAT PYRAMID AN ALLEGED STANDARD FOR MEASURES OF CAPACITY.
A granite coffer, stone box, or sarcophagus standing in that interior cell of the pyramid, called the King's Chamber, is held by Messrs. Taylor and Smyth to have been hewn out and placed there as a measure of capacity for the world, so that the ancient Hebrew, Grecian, and Roman measures of capacity on the one hand, and our modern Anglo-Saxon on the other, are all derived, directly or indirectly, from the parent measurements of this granite vessel. "For," argues Mr. Taylor, "the porphyry coffer in the King's Chamber was intended to be a standard measure of capacity and weights for all nations; and all chief nations did originally receive their weights and measures from thence."
The works of these authors show, in numerous passages and extracts,[244] that, in their belief, the great object for which the whole pyramid was created, was the preservation of this coffer as a standard of measures, and the "whole pyramid arranged in subservience to it." The accounts of it published by Mr. Taylor, and in Mr. Smyth's first work, further aver that the coffer is, internally and externally, a rectangular figure of mathematical form, and of "exquisite geometric truth," "highly polished, and of a fine bell-metal consistency" (p. 99). "The chest or coffer in the Great Pyramid" (writes Mr. Taylor in 1859) "is so shaped as to be in every part rectangular from side to side, and from end to end, and the bottom is also cut at right angles to the sides and end, and made perfectly level." "The coffer," said Professor Smyth in 1864, "exhibits to us a standard measure of 4000 years ago, with the tenacity and hardness of its substance unimpaired, and the polish and evenness of its surface untouched by nature through all that length of time."
But later inquiries and observations upset entirely all these notions and strong averments in regard to the coffer. For--
* * * * *
(1.) _The Coffer, though an alleged actual standard of capacity-measure, has yet been found difficult or impossible to measure._--In his first work, "Our Inheritance in the Great Pyramid," Professor Smyth had cited the measurements of it, made and published by twenty-five different observers, several of whom had gone about the matter with great mathematical accuracy.[245] Though imagined to be a great standard of measure, yet all these twenty-five, as Professor Smyth owned, varied from each other in their accounts of this imaginary standard in "every element of length, breadth, and depth, both inside and outside." Professor Smyth has latterly measured it himself, and this twenty-sixth measurement varies again from all the preceding twenty-five. Surely a measure of capacity should be measureable. Its mensurability indeed ought to be its most unquestionable quality; but this imagined standard has proved virtually unmeasurable--in so far at least that its twenty-six different and skilled measurers all differ from each other in respect to its dimensions. Still, says Professor Smyth, "this affair of the coffer's precise size is _the question of questions_."
* * * * *
(2.) _Discordance between its actual and its theoretical measure._--Professor Smyth holds that _theoretically_ its capacity ought to be 71,250 "pyramidal" cubic inches, for that cubic size would make it the exact measure for a chaldron, or practically the vessel would then contain exactly four quarters of wheat, etc. Yet Professor Smyth himself found it some 60 cubic inches less than this; while also the measurements of Professor Greaves, one of the most accurate measurers of all, make it 250 cubic inches, and those of Dr. Whitman 14,000 _below_ this professed standard. On the other hand, the measurements of Colonel Howard Vyse make it more than 100, those of Dr. Wilson more than 500, and those of the French academicians who accompanied the Napoleonic expedition to Egypt, about 6000 cubic inches _above_ the theoretical size which Professor Smyth has latterly fixed on.
* * * * *
(3.) _Its theoretical measure varied._--The _actual_ measure of the coffer has varied in the hands of all its twenty-six measurers. But even its _theoretical_ measure is varied also; for the size which the old coffer really _ought_ to have as "a grand capacity standard," is, strangely enough, not a determined quantity. In his last work (1867), Professor Smyth declares, as just stated, its proper theoretical cubic capacity to be 71,250 pyramidal cubic inches. But in his first work (1864), he declared something different, for "we _elect_," says he, "to take 70,970·2 English cubic inches (or 70,900 pyramidal cubic inches) as the true, because the theoretically _proved_ contents of the porphyry coffer, and therefore accept these numbers as giving the cubic size of the grand _standard_ measure of capacity in the Great Pyramid." Again, however, Mr. Taylor, who, previously to Professor Smyth, was the great advocate of the coffer being a marvellous standard of capacity measure for all nations, ancient and modern, declares its measure to be neither of the above quantities, but 71,328 cubic inches, or a cube of the ancient cubit of Karnak.[246] A vessel cannot be a measure of capacity whose own standard theoretical size is thus declared to vary somewhat every few years by those very men who maintain that it is a standard. But whether its capacity is 71,250, or 70,970, or 71,328, it is quite equally held up by Messrs Taylor and Smyth that the Sacred Laver of the Israelites, and the Molten Sea of the Scriptures, also conform and correspond to its (yet undetermined) standard "with _all_ conceivable practical exactness;" though the standard of capacity to which they thus conform and correspond is itself a size or standard which has not been yet fixed with any exactness. Professor Smyth, in speaking of the calculations and theoretical dimensions of this coffer--as published by Mr. Jopling, a believer in its wonderful standard character--critically and correctly observes, "Some very astonishing results were brought out in the play of arithmetical numerations."
* * * * *
(4.) _The dilapidation of the Coffer._--Thirty years ago this stone coffer was pointed out, and indeed delineated by Mr. Perring, as "_not_
## particularly well polished," and "chipped and broken at the edges."
Professor Smyth, in his late travels to Egypt, states that he found every possible line and edge of it chipped away with large chips along the top, both inside and outside, "chip upon chip, woefully spoiling the original figure; along all the corners of the upright sides too, and even along every corner of the bottom, while the upper south-eastern corner of the whole vessel is positively broken away to a depth and breadth of nearly a third of the whole." Yet this broken and damaged stone vessel is professed to be the _permanent_ and perfect miraculous standard of capacity-measure for the world for "present and still future times;" and, according to Mr. Taylor--that it might serve this purpose, "is formed of one block of the hardest kind of material, such as porphyry or granite, _in order_ that it might _not_ fall into decay;" for "in this porphyry coffer we have" (writes Professor Smyth in 1864) "the very closing end and aim of the whole pyramid."
* * * * *
(5.) _Alleged mathematical form of the Coffer erroneous._--But in regard to the coffer as an exquisite and marvellous standard of capacity to be revealed in these latter times, worse facts than these are divulged by the tables, etc., of measurements which Professor Smyth has recently published of this stone vessel or chest. His published measurements show that it is not at all a vessel, as was averred a few years ago, of pure mathematical form; for, externally, it is in length an inch greater on one side than another; in breadth half-an-inch broader at one point than at some other point; its bottom at one part is nearly a whole inch thicker than it is at some other parts; and in thickness its sides vary in some points about a quarter of an inch near the top. "But," Professor Smyth adds, "if calipered lower down, it is extremely probable that a _notably_ different thickness would have been found there;"--though it does not appear why they were not thus calipered.[247] Further, externally, "all the sides" (says Professor Smyth) "were slightly hollow, excepting the east side;" and the "two external ends" also show some "concavity" in form. "The outside," (he avows) "of the vessel was found to be by no means so perfectly accurate as many would have expected, for the length was greater on one side than the other, and _different_ also according to the height at which the measure was made." "The workmanship" (he elsewhere describes) "of the _inside_ is in advance of the outside, but yet _not_ perfect." For internally there is a convergence at the bottom towards the centre; both in length and in breadth the interior differs about half-an-inch at one point from another point; the "extreme points" (also) "of the corners of the bottom not being perfectly worked out to the intersection of the general planes of the entire sides;" and thus its cavity seems really of a form utterly unmeasurable in a correct way by mere linear measurement--the only measure yet attempted. If it were an object of the slightest moment, perhaps liquid measurements would be more successful in ascertaining at least as much of the mensuration of the lower part of the coffer as still remains.
* * * * *
(6.) _Coffer cut with ledges and catch-holes for a lid, like other sarcophagi._--More damaging details still remain in relation to the coffer as "a grand standard measure of capacity," and prove that its object or function was very different. In his first work Professor Smyth describes the coffer as showing no "symptoms" whatever of grooves, or catchpins or other fastenings or a lid. "More modern accounts," he re-observes, "have been further precise in describing the smooth and geometrical finish of the upper part of the coffer's sides, _without any_ of those grooves, dovetails, or steady-pin-holes which have been found elsewhere in true polished sarcophagi, where the firm fastening of the lid is one of the most essential features of the whole business." Mr. Perring, however, delineated the catchpin-holes for a lid in the coffer thirty years ago.[248] On his late visit to it Professor Smyth found its western side lowered down in its whole extent to nearly an inch and three-quarters (or more exactly, 1·72 inch), and ledges cut out around the interior of the other sides at the same height. Should we measure on this western side from this actual ledge brim, or from the imaginary higher brim? If reckoned as the true brim, "this ledge" (according to Professor Smyth) would "take away near 4000 inches from the cubic capacity of the vessel." Besides, he found three holes cut on the top of the coffer's lowered western side, as in all the other Egyptian sarcophagi, where these holes are used along with the ledge and grooves to admit, and form a simple mechanism to lock the lids of such stone chests.[249] In other words, it presents the usual ledge and apparatus pertaining to Egyptian stone sarcophagi, and served as such.
* * * * *
(7.) _Sepulchral contents of Coffer when first discovered._--When, about a thousand years ago, the Caliph Al Mamoon tunnelled into the interior of the pyramid, he detected by the accidental falling, it is said, of a granite portcullis, the passage to the King's Chamber, shut up from the building of the pyramid to that time. "Then" (to quote the words of Professor Smyth) "the treasures of the pyramid, sealed up almost from the days of Noah, and undesecrated by mortal eye for 3000 years, lay full in their grasp before them." On this occasion, to quote the words of Ibn Abd Al Hakm or Hokm--a contemporary Arabian writer, and a historian of high authority,[250] who was born, lived, and died in Egypt--they found in the pyramid, "towards the top, a chamber [now the so-called King's Chamber] with an hollow stone [or coffer] in which there was a statue [of stone] like a man, and within it a man upon whom was a breastplate of gold set with jewels; upon this breastplate was a sword of inestimable price, and at his head a carbuncle of the bigness of an egg, shining like the light of the day; and upon him were characters writ with a pen,[251] which no man understood"[252]--a description stating, down to the so-called "statue," mummy-case, or cartonage, and the hieroglyphics upon the cere-cloth, the arrangements now well known to belong to the higher class of Egyptian mummies.
In short (to quote the words of Professor Smyth), "that wonder within a wonder of the Great Pyramid--viz., the porphyry coffer,"--that "chief mystery and boon to the human race which the Great Pyramid was built to enshrine,"--"this vessel of exquisite meaning," and of "far-reaching characteristics,"--mathematically formed under alleged Divine inspiration as a measure of capacity (and, according to M. Jomard, probably of length also) for all men and all nations, for all time,--and
## particularly for these latter profane times,--is, in simple truth,
nothing more and nothing less than--an old and somewhat misshapen stone coffin.
STANDARD OF LINEAR MEASURE IN THE GREAT PYRAMID.
The standard in the Great Pyramid, according to Messrs. Taylor and Smyth, for _linear_ measurements, is the length of the base line or lines of the pyramid. This, Professor Smyth states, is "_the function proper of the pyramids base_." It is professed also that in this base line there has been found a new mythical inch--one-thousandth of an inch longer than the British standard inch; and in the last sections of his late work Professor Smyth has earnestly attempted to show that the status of the kingdoms of Europe in the general and moral world may be measured in accordance with their present deviation from or conformity to this suppositious pyramidal standard in their modes of national measurement.[253] "For the linear measure" (says Professor Smyth) "of the base line of this colossal monument, viewed in the light of the philosophical connection between time and space, has yielded a standard measure of length which is more admirably and learnedly earth-commensurable than anything which has ever yet entered into the mind of man to conceive, even up to the last discovery in modern metrological science, whether in England, France, or Germany."
The engineers and mathematicians of different countries have repeatedly measured arcs of meridians to find the form and dimensions of the earth, and the French made the metre (their standard of length), 1/10,000,000 of the quadrant of the meridian. Professor Smyth holds that the basis line of the pyramid has been laid down by Divine authority as such a guiding standard measure.
* * * * *
_What, then, is the exact length of one of its basis lines?_ The sides of the pyramid have been measured by many different measurers. Linear standards have, says Professor Smyth, "been already looked for by many and many an author on the sides of the base of the Great Pyramid, even before they knew that the terminal points of those magnificent base lines had been carefully marked in the solid rock of the hill by the socket-holes of the builders." But--as in the case of the cubic capacity of the coffer--these measurers sadly disagree with each other in their measurements, which, in fact, vary from some 7500 or 8000 inches to 9000 and upwards. Thus, for example, Strabo makes it under 600 Grecian feet, or under 7500 English inches; Dr. Shawe makes it 8040 inches; Shelton makes it 8184 inches; Greaves, 8316; Davison, 8952: Caviglia, 9072; the French academicians, 9163; Dr. Perry, 9360, etc., etc.
At the time at which Professor Smyth was living at the Pyramids, Mr. Inglis of Glasgow visited it, and, for correct measurement, laid bare for the first time the four corner sockets. Mr. Inglis's measurements not only differed from all the other measurements of "one side" base lines made before him, but he makes the four sides differ from each other; one of them--namely, the north side--being longer than the other three. Strangely, Professor Smyth, though in Egypt for the purpose of measuring the different parts of the pyramid--and holding that its base line ought to be our grand standard of measure, and further holding that the base line could only be accurately ascertained by measuring from socket to socket--never attempted that linear measurement himself after the sockets were cleared. These four corner sockets were never exposed before in historic times; and it may be very long before an opportunity of seeing and using them again shall ever be afforded to any other measurers.
Before the corner sockets were exposed, Professor Smyth attempted to measure the bases, and made each side of the present masonry courses "between 8900 and 9000 inches in length," or (to use his own word) "_about_" 8950 inches for the mean length of one of the four sides of the base; exclusive of the ancient casing and backing stones--which last Colonel Howard Vyse found and measured to be precisely 108 inches on each side, or 216 on both sides. These 216 inches, added to Professor Smyth's measure of "about" 8950 inches, make one side 9166 inches. But Professor Smyth has "elected" (to use his own expression) not to take the mathematically exact measure of the casing stones as given by Colonel Vyse and Mr. Perring, who alone ever saw them and measured them (for they were destroyed shortly after their discovery in 1837), but to take them, without any adequate reason, and contrary to their mathematical measurement, as equal only to 202 inches, and hence "accept 9152 inches as the original length of one side of the base of the finished pyramid." He deems, however, this "determination" not to be so much depended upon as the measurements made from socket to socket.
The mean of the only four series of such socket or casing stone measures as have been recorded hitherto by the French Academicians (9163), Vyse (9168), Mahmoud Bey (9162), and Inglis (9110), amounts to nearly 9150. The first three of these observers were only able to measure the north side of the pyramid. Mr. Inglis measured all the four sides, and found them respectively 9120, 9114, 9102, and 9102, making a difference of 18 inches between the shortest and longest. Professor Smyth thinks the measures of Mr. Inglis as on the whole probably too _small_, and he takes two of them, 9114 and 9102--(but, strangely, not the largest, 9120)--as data, and strikes a new number out of these two, and out of the three previous measures of the French Academicians, Vyse, and Mahmoud Bey; from these five quantities making a calculation of "means," and electing 9142 as the proper measure of the basis line of the pyramid--(which exact measure certainly none of its many measurers ever yet found it to be); and upon this _foundation_, "derived" (to use his own words) "from the best modern measures yet made," he proceeds to reason, "as the happy, useful, and perfect representation of 9142," and the great standard for linear measure revealed to man in the Great Pyramid. Surely it is a remarkably strange _standard_ of linear measure that can only be thus elicited and developed--not by direct measurement but by indirect logic; and regarding the exact and precise length of which there is as yet no kind of reliable and accurate certainty.
Lately, Sir Henry James, the distinguished head of the Ordnance Survey Department, has shown that the length of one of the sides of the pyramid base, with the casing stones added, as measured by Colonel H. Vyse--viz. 9168 inches--is precisely 360 derahs, or land cubits of Egypt; the derah being an ancient land measure still in use, of the length of nearly 25-1/2 British inches, or, more correctly, of 25·488 inches; and he has pointed out that in the construction of the body of the Great Pyramid, the architect built 10 feet or 10 cubits of horizontal length for every 9 feet or 9 cubits of vertical height; while in the construction of the inclined passages the proportion was adhered to of 9 on the incline to 4 in vertical height, rules which would altogether simplify the building of such a structure.[254] The Egyptian derah of 25·48 inches is practically one-fourth more in length than the old cubit of the city of Memphis. Long ago Sir Isaac Newton showed, from Professor Greaves' measurements of the chambers, galleries, etc., that the Memphis cubit (or cubit of "ancient Egypt generally") of 1·719 English feet,[255] or 20·628 English inches, was apparently the _working_ cubit of the masons in constructing the Great Pyramid[256]--an opinion so far admitted more lately by both Messrs Taylor and Smyth; "the length" (says Professor Smyth) "of the cubit employed by the masons engaged in the Great Pyramid building, or that of the ancient city of Memphis," being, he thinks, on an average taken from various parts in the interior of the building, 20·73 British inches.[257] According to Mr. Inglis' late measurement of the four bases of the pyramid, after its four corner sockets were exposed, the length of each base line was possibly 442 Memphis cubits, or 9117 English inches; or, if the greater length of the French Academicians, Colonel Vyse, and Mahmoud Bey, be held nearer the truth, 444 Memphis cubits, or 9158 British inches.
But Professor Smyth tries to show that (1.) if 9142 only be granted to him as the possible base line of the pyramid; and (2.) if 25 pyramidal inches be allowed to be the length of the "Sacred Cubit," as revealed to the Israelites (and as revealed in the pyramid), then the base line might be found very near a multiple of this cubit by the days of the year,[258] or by 365·25; for these two numbers multiplied together amount to 9131 "pyramidal" inches, or 9140 British inches--the British inch being held, as already stated, to be 1000th less than the pyramidal inch. Was, however, the "Sacred Cubit"--upon whose alleged length of 25 "pyramidal" inches this idea is entirely built--really a measure of this length? In this matter--the most important and vital of all for his whole linear hypothesis--Professor Smyth seems to have fallen into errors which entirely upset all the calculations and inferences founded by him upon it.
* * * * *
_Length of the Sacred Cubit._--Sir Isaac Newton, in his remarkable _Dissertation upon the Sacred Cubit of the Jews_ (republished in full by Professor Smyth in the second volume of his _Life and Work at the Great Pyramid_), long ago came to the conclusion that it measured 25 unciæ of the Roman foot, and 6/10 of an uncia, or 24·753 British inches; and in this way it was one-fifth longer than the cubit of Memphis--viz. 20·628 inches, as previously deduced by him from Greaves' measurements of the King's Chamber and other parts of the interior of the Great Pyramid. Before drawing his final inference as to the Sacred Cubit being 24·75 inches, and as so many steps conducting to that inference, Sir Isaac shows that the Sacred Cubit was some measurement intermediate between a long and moderate human step or pace, between the third of the length of the body of a tall and short man, etc. etc. Professor Smyth has collected several of the estimations thus adduced by Newton as "methods of approach" to circumscribe the length of the Sacred Cubit, and omitted others. Adding to eight of these alleged data, what he mistakingly avers to be Sir Isaac's deduction of the actual length of the Sacred Cubit in British inches--(namely, 24·82 instead of 24·753)--as a ninth quantity, he enters the whole nine in a table as follows:--
_Professor Smyth's Table of Newton's data of Inquiry regarding the Sacred Cubit._[259]
"First between 23·28 and 27·94 British inches. Second " 23·3 27·9 " Third " 24·80 25·02 " Fourth " 24·91 25·68[260] " And Fifth, somewhere near 24·82."
"The mean of all which numbers" (Professor Smyth remarks) "amounts to 25·07 British inches. The Sacred Cubit, then, of the Hebrews" (he adds) "in the time of Moses--_according to Sir Isaac Newton_--was equal to 25·07 British inches, with a probable error of ±·1."
But--"_according_ to Sir Isaac Newton"--the Sacred Cubit of the Jews was _not_ 25·07, as Professor Smyth makes him state in this table, but 24·75 British inches, as Sir Isaac himself more than once deliberately infers in his Dissertation.[261] Besides, in such inquiries, is it not altogether illogical to attempt to draw mathematical deductions by these calculations of "means," and especially by using the ninth quantity in the table--viz. Sir Isaac's own avowed and deliberate deduction regarding the actual length of the Sacred Cubit--as one of the nine quantities from which that length was to be again deduced by the very equivocal process of "means?" Errors, however, of a far more serious kind exist. The "mean" of the nine quantities in Professor Smyth's table is, he infers, 25·07 inches; and hence he avows that this, or near this figure, is the length of the Sacred Cubit. But the real mean of the nine quantities which Professor Smyth has collected is not 25·07 but 25·29--a number in such a testing question as this of a very different value. For the days of the year (365·25) when multiplied by this, the true mean of these nine quantities, would make the base line of the pyramid 9237 inches instead of Professor Smyth's theoretical number of 9142 inches; a difference altogether overturning all his inferences and calculations thereanent. And again, if we take Sir Isaac Newton's own conclusion of 24·75, and multiply it by the days of the year, the pretended length of the pyramid base comes out as low as 9039.
_Alleged "really glorious Consummation" in Geodesy._
The incidentally but totally erroneous summation which Professor Smyth thus makes of the nine equivocal quantities in his table, as amounting to 25·07, he declares (to use his own strong words) as a "_really glorious consummation_ for the geodesical science of the present day to have brought to light;" for he avers this length of 25·07--(which he forthwith elects to alter and change, without any given reason whatever, to 25·025 British inches)--being, he observes, "practically the sacred Hebrew cubit, is _exactly_ one ten-millionth (1-10,000,000th) of the earth's semi-axis of rotation; and _that is_ the very best mode of reference to the earth-ball as a whole, for a linear standard through all time, that the highest science of the existing age of the world has yet struck out or can imagine. In a word, the Sacred Cubit, _thus_ realised, forms an instance of the most advanced and perfected human science supporting the truest, purest, and most ancient religion; while a linear standard which the chosen people in the earlier ages of the world were merely told by maxim to look on as _sacred_, compared with other cubits of other lengths, is proved by the progress of human learning in the latter ages of time, to have had, and still to have, a philosophical merit about it which no men or nations at the time it was first produced, or within several thousand years thereof, could have possibly thought of for themselves." Besides, adds he elsewhere, "an _extraordinarily_[262] convenient length too, for man to handle and use in the common affairs of life is the one ten-millionth of the earth's semi-axis of rotation when it comes to be realised, for it is extremely close to the ordinary human arm, or to the ordinary human pace in walking, with a purpose to measure."
Of course all these inferences and averments regarding the Sacred Cubit being an exact segment of the polar axis disappear, when we find Sir Isaac Newton's length of the Sacred Cubit is not, as Professor Smyth elects it to be, 25·025 British inches; nor 25·07, as he incorrectly calculated it to be from the mean of the nine quantities selected and arranged in his table; nor 25·29, as is the actual mean of these nine quantities in his table; but, "_according_ to Sir Isaac Newton's" own reiterated statement and conclusion, 24·753. (See footnote, p. 245.) A Sacred Cubit, according to Sir Isaac Newton's admeasurements of it, of 24·75 inches, would not, by thousands of cubits, be one ten-millionth of the measure of the semi-polar axis of the earth; provided the polar axis be, as Professor Smyth elects it to be, 500,500,000 British inches.[263]
AXIS OF THE EARTH AS A STANDARD OF MEASURE.
The standards of measure in France and some other countries are, as is well known, referred to divisions of arcs of the meridian, measured off upon different points of the surface of the earth. These measures of arcs of the meridian, as measurements of a known and selected portion of the surface of the spheroidal globe of the earth, have, more or less, fixed mathematical relations with the axis of the earth; as the circumference of a sphere has an exact mathematical ratio to its diameter. The difference in length of arcs of the meridian at different parts of the earth's surface, in consequence of the spheroidal form of the globe of the earth, has led to the idea that the polar diameter or axis of the earth would form a more perfect and more universal standard than measurements of the surface of the earth. In the last century, Cassini[264] and Callet[265] proposed, on these grounds, that the polar axis of the earth should be taken as the standard of measure. Without having noticed these propositions of Cassini and Callet,[266] Professor Smyth adopts the same idea, and avers that 4000 years ago it had been adopted and used also by the builders of the Great Pyramid, who laid out and measured off the basis of the pyramid as a multiple by the days of the year of the Sacred Cubit, and hence of the Pyramidal Cubit while the Sacred or Pyramidal Cubit were both the results of superhuman or divine knowledge, and were both, or each, one ten-millionth of the semi-polar axis of the earth. We have already seen, however, that the Sacred Cubit, "_according_ to Sir Isaac Newton," is not a multiple by the days of the year of the base line of the Great Pyramid; and is not one twenty-millionth of the polar axis of the earth, when that polar axis is laid down as measuring, according to the numbers elected by Professor Smyth, 500,500,000 British inches.
* * * * *
But is there any valid reason whatever for fixing and determining, as an ascertained mathematical fact, the polar axis of the earth to be this very precise and exact measure, with its formidable tail of cyphers? None, except the supposed requirements or necessities of Professor Smyth's pyramid metrological theory. The latest and most exact measurements are acknowledged to be those of Captain Clarke, who, on the doctrine of the earth being a spheroid of revolution computes the polar axis to be 500,522,904 British inches, calculating it from the results of all the known arcs of meridian measures. If we grant that the Sacred Cubit could be allowed to be exactly 25·025 inches, which Sir Isaac Newton found it not to be; and if we grant that the polar axis is exactly 500,500,000 British inches, which Captain Clarke did not find it to be; then, certainly, as shown by Professor Smyth, there would be 20,000,000 of these supposititious pyramidal cubits, or 500,000,000 of the supposititious pyramidal inches in this supposititious polar axis of the earth. "In so far, then" (writes Professor Smyth), "we have in the 5, with the many 0's that follow, a pyramidally commensurable and symbolically appropriate unit for the earth's axis of rotation." But such adjustments have been made with as great apparent exactitude when entirely different earth-axes and quantities were taken. Thus Mr. John Taylor shows the inches, cubits, and axes to answer precisely, although he took as his standard a totally different diameter of the earth from Professor Smyth. The diameter of the earth at 30° of latitude--the geographical position of the Great Pyramid--is, he avers, some seventeen miles, or more exactly 17·652 miles longer than at the poles.[267] But Mr. Taylor fixed upon this diameter of the earth at latitude 30°--and not, like Professor Smyth, upon its polar diameter--as the standard for the metrological linear measures of the Great Pyramid; and yet, though the standard was so different, he found, like Mr. Smyth, 500,000,000 of inches also in his axis, and 20,000,000 of cubits also.[268] The resulting figures appear to fit equally as well for the one as for the other. Perhaps they answer best on Mr. Taylor's scheme. For Mr. Taylor maintained that the diameter of the earth before the Flood, at this selected point of 30°, was less by nearly 37 miles than what it was subsequently to the flood,[269] and is now; a point by which he accounts for otherwise unaccountable circumstances in the metrological doctrines which have been attempted to be connected with the Great Pyramid. For while Mr. Taylor believes the Sacred Cubit to be 24·88, or possibly 24·90 British inches, he holds the new Pyramidal cubit to be 25 inches in full; and the Sacred and Pyramidal cubits to be different therefore from each other, though both inspired. In explanation of this startling difference in two measures supposed to be equally of sacred[270] origin, Mr. Taylor observes--"The smaller 24·88 is the Sacred Cubit which measured the diameter of the Earth _before_ the Flood; the one by which Noah measured the Ark, as tradition says; and the one in accordance with which all the interior works of the Great Pyramid were constructed.[271] The larger (25) is the Sacred Cubit of the _present_ Earth, according to the standard of the Great Pyramid when it was completed."
Surely such marked diversities and contradictions, and such strange hypothetical adjustments and re-adjustments of the data and calculations, entirely upset the groundless and extraordinary theory of the base of the pyramid being a standard of linear measurement; or a segment of any particular axis of the earth; or a standard for emitting a system of new inches and new cubits;--seeing, on the one hand, more
## particularly, that the basis line of the pyramid is still itself an
unknown and undetermined linear quantity, as is also the polar axis of the earth of which it is declared and averred to be an ascertained, determined, and measured segment.
M. Paucton, in 1780, wrote a work in which he laid down the base side of the pyramid as 8754 inches; maintained, like Mr. Taylor and Mr. Smyth, that this length was a standard of linear measures; found it to be the measure of a portion of a degree of the meridian, such degree being itself the 360th part of a circle;--and apparently the calculations and figures answered as well as when the measurement was declared to be 9142 inches, and the line not a segment of an arc of the circumference of the earth, but a segment of the polar axis of the earth; for De l'Isle lauds Paucton's meridian degree theory as one of the wondrous efforts of human genius, or (to use his own words) "as one of the chief works of the human mind!" Yet the errors into which Paucton was seduced in miscalculating the base line of the Pyramid as 8754 inches, and the other ways he was misled, are enough--suggests Professor Smyth--"to make poor Paucton turn in his grave."
SIGNIFICANCE OF CYPHERS AND FIVES.
M. Paucton, Mr. Taylor, and those who have adopted and followed their pyramid metrological ideas, seem to imagine that if, by multiplying one of their measures or objects, they can run the calculation out into a long tail of terminal 0's, then something very exact and marvellous is proved. "When" (upholds Mr. Taylor), "we find in so complicated a series of figures as that which the measures of the Great Pyramid and of the Earth require for their expression, _round numbers_ present themselves, or such as leave no remainder, we may be sure we have arrived at _primitive_ measures." But many small and unimportant objects, when thus multiplied sufficiently, give equally startling strings of 0's. Thus, if the polar axis of the earth be held as 500,000,000 inches, and Sir Isaac Newton's "Sacred Cubit" be held, as Professor Smyth calculated it to be, viz. 24·82 British inches--then the long diameter of the brim of the lecturer's hat, measuring 12·4 inches, is 1-40,000,000th of the earth's polar axis; a page of the print of the Society's Transactions is 1-60,000,000th of the same; a print page of Professor Smyth's book, 6·2 inches in length, is 1-80,000,000th of this "great standard;" etc. etc. etc.
Professor Smyth seems further to think that the figure or number "five" plays also a most important symbolical and inner part in the configuration, structure, and enumeration of the Great Pyramid. "The pyramid" (says he) "embodies in a variety of ways the importance of five." It is itself "five-angled, and with its plane a five-sided solid, in which everything went by fives, or numbers of fives and powers of five." "With five, then, as a number, times of five, and powers of five, the Great Pyramid contains a mighty system of consistently subdividing large quantities to suit human happiness." To express this, Mr. Smyth suggests the new noun "fiveness." But it applies to many other matters as strongly, or more strongly than to the Great Pyramid. For instance, the range of rooms belonging to the Royal Society is "five" in number; the hall in which it meets has five windows; the roof of that hall is divided into five transverse ornamental sections; and each of these five transverse sections is subdivided into five longitudinal ones; the books at each end of the hall are arranged in ten rows and six sections--making sixty, a multiple of five; the official chairs in the hall are ten in number, or twice five; the number of benches on one side for ordinary fellows is generally five; the office-bearers of the Society are twenty-five in number, or five times five; and so on. These arrangements were doubtless, in the first instance, made by the Royal Society without any special relation to "fiveness," or the "symbolisation" of five; and there is not the slightest ground for any belief that the apparent "fiveness" of anything in the Great Pyramid had a different origin.
GREAT MINUTENESS OF MODERN PRACTICAL STANDARDS OF GAUGES.
In all these "standards" of capacity and length alleged to exist about the Great Pyramid, not only are the theoretical and actual sizes of the supposed "standards" made to vary in different books--which it is impossible for an actual "standard" to do--but the evidences adduced in proof of the conformity of old or modern measures with them is notoriously defective in complete aptness and accuracy. Measures, to be true counterparts, must, in mathematics, be not simply "near," or "very near," which is all that is generally and vaguely claimed for the supposed pyramidal proofs, but they must be entirely and _exactly_ alike, which the pyramidal proofs and so-called standards fail totally and altogether in being. Mathematical measurements of lines, sizes, angles, etc., imply exactitude, and not mere approximation; and without that exactitude they are not mathematical, and--far more--are they not "superhuman" and "inspired."
Besides, it must not be forgotten that our real _practical_ standard measures are infinitely more refined and many thousand-fold more delicate than any indefinite and equivocal measures alleged to be found in the pyramid by even those who are most enthusiastic in the pyramidal metrological theory. At the London Exhibition in 1851, that celebrated mechanician and engineer, Mr. Whitworth, of Manchester, was the first to show the possibility of ascertaining by the sense of touch alone the one-millionth of an inch in a properly-adjusted standard of linear measure; and in his great establishment at Manchester they work and construct machinery and tools of all kinds with differences in linear measurements amounting to one ten-thousandth of an inch. The standards of the English inch, etc., made by him for the Government--and now used by all the engine and tool makers, etc., of the United Kingdom--lead to the construction of machinery, etc., to such minute divisions; and the adoption of these standards has already effected enormous saving to the country by bringing all measured metal machinery, instruments, and tools, wherever constructed and wherever afterwards applied and used, to the same identical series of mathematical and precise gauges.
THE SABBATH, ETC. TYPIFIED IN THE PYRAMID.
The communication next discussed some others amongst the many and diversified matters which Professor Smyth fancifully averred to be typified and symbolised in the Great Pyramid.
One, for example, of the chambers in the Great Pyramid--the so-called Queen's Chamber--has a roof composed of two large blocks of stone leaning against each other, making a kind of slanting or double roof. This double roof, and the four walls of the chamber count six, and typify, according to Professor Smyth, the six days of the week, whilst the floor counts, as it were, a seventh side to the room, "nobler and more glorious than the rest," and typifying something, he conceives, of a "nobler and more glorious order"--namely, the Sabbath; it is surely difficult to fancy anything more strange than this strange idea.[272] In forming this theory liberties are also confessedly taken with the floor in order to make it duly larger than the other six sides of the room, and to do so he theoretically lifts up the floor till it is placed higher than the very entrance to the chamber; for originally the floor and sides are otherwise too nearly alike in size to make a symbolic _seven_-sided room with one of the sides proportionally and properly larger than the other six sides. Yet Professor Smyth holds that, in the above typical way, he has "shown," or indeed "proved entirely," that the Sabbath had been heard of before Moses, and that thus he finds unexpected and confirmatory light of a fact which, he avers, is of "extraordinary importance, and possesses a ramifying influence through many departments of religious life and progress."
He believes, also, that the corner-stone--so frequently alluded to by the Psalmist and the Apostles as a symbol of the Messiah--is the head or corner-stone of the Great Pyramid, which, though long ago removed, may yet possibly, he thinks, be discovered in the Cave of Machpelah; though how, why, or wherefore it should have found its way to that distant and special locality is not in any way solved or suggested.
GREAT PYRAMID ALLEGED TO BE A SUPERHUMAN, AND MORE OR LESS AN INSPIRED METROLOGICAL ERECTION.
Professor Smyth holds the Great Pyramid to be in its emblems, and intentions and work "superhuman;" as "not altogether of human origination; and in that case whereto" (he asks) "should we look for any human assistance to men but from Divine inspiration?" "Its metrology is," he conceives, "directed by a higher Power" than man; its erection "directed by the _fiat_ of Infinite Wisdom;" and the whole "built under the direction of chosen men divinely inspired from on high for this purpose."
If of this Divine origin, the work should be absolutely perfect; but, as owned by Professor Smyth, the structure is not entirely correct in its orientation, in its squareness, etc. etc.--all of them matters proving that it is human, and not superhuman. It was, Professor Smyth further alleges, intended to convey standards of measures to all times down to, and perhaps beyond, these latter days, "to herald in some of those accompaniments of the promised millennial peace and goodwill to all men." Hence, if thus miraculous in its forseen uses, it ought to have remained relatively perfect till now. But "what feature of the pyramid is there" (asks Professor Smyth) "which renders at once in its measurements in the present day its ancient proportions? None." If the pyramid were a miracle of this kind, then the Arabian Caliph Al Mamoon so far upset the supposititious miracle a thousand years ago--(of course he could not have done so provided the miracle had been truly Divine)--when he broke into the King's Chamber and unveiled its contents; inasmuch as the builders, according to Professor Smyth, intended to conceal its secrets for the benefit of these latter times, and for this purpose had left a mathematical sign of two somewhat diagonal lines or joints in the floor of the descending passage, by which secret sign or clue[273] some men or man in the far distant future, visiting the interior, should detect the entrance to the chambers; and which secret sign Professor Smyth himself was, as he believes, the first "man" to discover two years ago. The secret, however, thus averred to be placed there for the detection of the entrance to the interior chambers in these latter times, has been discovered some 1000 years at least too late for the evolution of the alleged miraculous arrangement. And in relation to the Great Pyramid, as to other matters, we may be sure that God does not teach by the medium of miracle anything that the unaided intellect of man can find out; and we must beware of erroneously and disparagingly attributing to Divine inspiration and aid, things that are imperfect and human.
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The communication concluded by a series of remarks, in which it was pointed out that at the time at which the Great Pyramid was built, probably about 4000 years ago, mining, architecture, astronomy, etc., were so advanced in various parts of the East as to present no obstacle in the way of the erection of such magnificent mausoleums, as the colossal Great Pyramid and its other congener pyramids undoubtedly are.
FOOTNOTES:
[Footnote 233: See on other proposed significations and origins of the word pyramid, APPENDIX, No. I.]
[Footnote 234: In the plain of Troy, and on the higher grounds around it, various barrows still remain, and have been described from Pliny, Strabo, and Lucia down to Lechevalier, Forchhammer, and Maclaren. In later times, Choiseul and Calvert have opened some of them. Homer gives a minute account of the obsequies of Patroclus and the raising of his burial-mound, which forms, as is generally believed, one of those twin barrows still existing on the sides of the Sigean promontory, that pass under the name of the tumuli of Achilles and Patroclus. Pope, in translating the passage describing the commencement of the funeral pyre, uses the word pyramid. For
... "those deputed to inter the slain, Heap with a rising _pyramid_ the plain."
Professor Daniel Wilson, in alluding, in his _Prehistoric Annals_, vol. i. p. 74, to this account by Homer of the ancient funeral-rites, and raising of the funeral-mound, speaks of the erection of Patroclus' barrow as "the methodic construction of the Pyramid of earth which covered the sacred deposit and preserved the memory of the honoured dead."]
[Footnote 235: Colonel Pownall, while describing in 1770 the barrow of New Grange, in Ireland, to the London Society of Antiquaries, speaks of it as "a pyramid of stone." "This pyramid," he observes, "was encircled at its base with a number of enormous unhewn stones," etc. "The pyramid, in its present state, is but a ruin of what it was," etc. etc. See _Archæologia_, vol. vi. p. 254; and Higgins' _Celtic Druids_, p. 40, etc.]
[Footnote 236: In his _Prehistoric Annals of Scotland_, Dr. Daniel Wilson states (vol. i. p. 87), that "the Chambered Cairn properly possesses as its peculiar characteristic the enclosed catacombs and galleries of megalithic masonry, branching off into various chambers symmetrically arranged, and frequently exhibiting traces of constructive skill, such as realise in some degree the idea of the regular pyramid." He speaks again of the stone barrows or cairns of Scotland as "monumental pyramids" (vol. i. p. 67); of the earth barrow being an "earth pyramid or tumulus" (p. 70); of Silbury Hill as an "earth pyramid" (p. 62): and in the same page, in alluding to the large barrow-tomb of the ancient British chief or warrior, he states, "in its later circular forms we see the rude type of the great pyramids of Egypt." The same learned author, in his work on _Prehistoric Man_, refers to the great monuments of the American mound-builders as "earth pyramids" (p. 202), "huge earth pyramids" (p. 205), "pyramidal earth-works" (p. 203); etc.]
[Footnote 237: In his _History of Scotland_, Mr. Burton speaks of the barrows of New Grange and Maeshowe (Orkney), as erections which "may justly be called minor pyramids" (vol. i. p. 114).]
[Footnote 238: In mentioning the great numbers of sepulchral barrows spread over the world, Sir John Lubbock observes--"In our own island they may be seen on almost every down; in the Orkneys alone it is estimated that two thousand still remain; and in Denmark they are even more abundant; they are found all over Europe from the shores of the Atlantic to the Oural Mountains; in Asia they are scattered over the great steppes from the borders of Russia to the Pacific Ocean, and from the plains of Siberia to those of Hindostan; in America we are told that they are numbered by thousands and tens of thousands; nor are they wanting in Africa, where the pyramids themselves exhibit the most magnificent development of the same idea; so that the whole world is studded with these burial-places of the dead."--_Prehistoric Times_, p. 85. See similar remarks in Dr. Clarke's _Travels_, 4th edition, vol. i. p. 276, vol. ii. p. 75, etc.]
[Footnote 239: Sir J. Gardner Wilkinson thinks that the pyramids of Sakkara are probably older than the other groups of these structures, as those of Gizeh or the Great Pyramid erected during the fourth dynasty of kings.--See Rawlinson's _Herodotus_, vol. ii. chap. viii. Manetho assigns to Uènophes, one of the monarchs in the first dynasty, the erection of the Pyramids of Cochome. See Kenrick's _Ancient Egypt_, ii. p. 112, 122, 123; Bunsen's _Egypt_, ii. 99, etc.]
[Footnote 240: On these Archaic forms of sculpture, see APPENDIX, No. II. In many barrows the gallery in its course--and in some as it enters the crypt--is contracted, and more or less occluded by obstructions of stone, etc., which Mr. Kenrick likens to the granite portcullises in the Great Pyramid. See his _Ancient Egypt_, vol. i. p. 121.]
[Footnote 241: Mr. Birch, however--and it is impossible to cite a higher authority in such a question--holds the cartouches of Shufu and Nu Shufu to refer only to one personage--namely, the Cheops of Herodotus; and, believing with Mr. Wilde and Professor Lepsius, that the pyramids were as royal sepulchres built and methodically extended and enlarged as the reigns of their intended occupants lengthened out, he ascribes the unusual size of the Great Pyramid to the unusual length--as testified by Manetho, etc.--of the reign of Cheops; the erection of a sepulchral chamber in its built portion above being, perhaps, a step adopted in consequence of some ascertained deficiency in the rock chamber or gallery below. Indeed, the subterranean chamber under the Great Pyramid has, to use Professor Smyth's words, only been "begun to be cut out of the rock from the ceiling downwards, and left in that _unfinished_ state." (Vol. i. 156.) Mr. Perring, who--as engineer--measured, worked, and excavated so very much at the Pyramids of Gizeh, under Colonel Howard Vyse, held, at the end of his researches, that "the principal chamber" in the Second Pyramid is still undetected. See Vyse's _Pyramid of Gizeh_, vol. i. 99.]
[Footnote 242: The Mexican Pyramid of Cholula has a base of more than 1420 feet, and is hence about twice the length of the basis of the Great Pyramid of Gizeh. See Prescott's _Conquest of Mexico_, book iii . chap. i., and