The typical pyramid of Gizeh, near Cairo—the monument of Cheops (Shofo, Suphis), the first or second king of the fourth dynasty—rises above the broad necropolis of Memphis, by far the largest and one of the most marvellous works of mankind. (Fig. 1.) With a ground-line mean of 232.56 m., the great pyramid attained an altitude of 148.21 m., of which the entire apex is now overthrown, leaving a height of about 138 m.[A] The original intention of the builders was doubtless an absolutely square plan. The greatest difference in the length of the ground-lines of the base is 0.45 m. The angle of the upward inclination of the sides has been found, by measurements at various points, to average 51° 51´ 43´´. The entire pyramid is solidly built of massive blocks, pierced by a few narrow passages which lead to small chambers. (Fig. 2.) Like most of these monuments, the entrance is situated somewhat above the ground; it opens to a passage which descends with a gentle inclination. The shaft is covered with stones leaning against each other, so as to present the great resistance of a gable to the superimposed mass. In passing out of the masonry it is continued into the natural rock under the same angle, 26° 27´. Near the point of separation it meets with another passage, which ascends with an inclination of 26° 6´ to the centre of the structure, sending off a nearly horizontal branch at half-way. All three shafts lead to grave-chambers, the highest being the most important. As the ascent continues above the horizontal branch, its importance is emphasized by the passage being increased from 1.2 or 1.5 m. high to a corridor 8.5 m. in height, roofed by gradually projecting blocks, and having upon its floor a slide to facilitate the transport of the sarcophagus. Thereupon follows a horizontal vestibule, closed most securely by four blocks of granite which fell like portcullises. Only three of these had been let down; the fourth remained in its original position, the lower grooves never having been cut to allow its descent. The upper chamber, of polished granite, but otherwise not ornamented, is 10.48 m. long, 5.24 m. broad, and 5.84 m. high.[B] It is ceiled horizontally with nine colossal lintels of granite, a detail which seemed at first surprising, as other voids of far less width were more firmly covered, either by projecting and gradually approaching stones, as in the ascending corridor; or with blocks leaned together so as to form a gable, as in the other passages, and in the middle chamber, called that of the Queen. Yet it was for the security of this upper chamber that the greatest care proved to have been taken. The weight of the half-height of the pyramid remaining above it was by no means allowed to rest upon its horizontal lintels. There are above them five low relieving spaces separated by four stone ceilings similar to the first; mighty blocks are inclined over all these to a gable triangle. In case of rupture the horizontal beams would of themselves have formed new triangles and prevented direct downward pressure. Cheops certainly did not need to fear the ceiling of his chamber falling in upon him. Ventilation was provided for the room by two narrow air-channels, which, inclining upwards, took the shortest course to the outside.

The perfectly geometrical form of the pyramids of Gizeh has from early times led to speculations upon their having been erected in conformity with mathematical or astronomical calculations; and endless attempts have been made to discover the fixed proportions which they are supposed to embody, and to determine their symbolical or metrical significance. Too much is often assumed upon the strength of accidental coincidences, generally only approximate; but if such proportions indeed existed, whatever may have been their intention, they are evidently beyond the true province of art.

The second great pyramid, built by the successor of Cheops, Chephren (Sophris), seems not to have been so regular in its interior arrangement. The third, that of Chephren’s successor, Mykerinos (Menkera), is of the most beautiful execution. The unevenness of the ground was so considerable that a substructure of masonry was here necessary. The entire kernel is of rectangular courses of stone, and, with the exception of the exterior casing, is built in the form of steps. This manner of construction was employed in most of the pyramids, but is here particularly noticeable. The casing of granite, highly polished, is still partly intact; the joints of its stones are scarcely perceptible, and are not wider than the thickness of a sheet of paper.

The mechanical excellence of all these pyramids is indeed wonderful; they remain as a marvellous proof of the constructive ability of man in ages far anterior to known periods of the world’s history. Nor are they mere piles of masonry which could have been erected by an enslaved people without the guidance of skilled and thoughtful designers. The arrangement of the passages, of the chambers and their portcullises, of the quarried stone and polished revetment, was admirably adapted to the required ends.

In the third pyramid two corridors have been found, one above the other. The upper, opening within from the first chamber, at some height above the floor, does not reach the exterior surface, but ends suddenly against the unpierced outside casings. This peculiarity is explained by, and in turn gives weight to, the statement that this pyramid, as originally built by Mykerinos, was considerably smaller than it is at present, measuring, according to the end of the unfinished upper corridor, 54.86 m. on the side of the plan, and 42.20 m. in vertical height. Nitocris, the last queen of the sixth dynasty, prepared the pyramid to serve also as her own monument by adding courses of stone which increased these dimensions to 117.29 and 66.75 m. respectively. But as the original entrance, by the prolongation of its inclined line outward, would thereby have opened much too high above the ground, a new corridor beneath the first was rendered necessary. The second chamber, which probably once contained the sarcophagus of the queen, was found entirely plundered. The third and lowest, better protected, had been opened; but in it there still remained in position a magnificent coffer of basalt. The exterior of this sarcophagus was sculptured with lattice-work in imitation of a palace-like structure with portals. Fragments of the wooden coffin, with carved hieroglyphics, once within it, and of the mummy itself, were flung about the room. The sarcophagus, of the greatest value as illustrating the architectural forms of its time, sank in the Mediterranean with the ship which was carrying it away to England. The mummy and the lid of the coffin are in the British Museum. Hieroglyphics upon the latter designate the venerable remains as those of King Menkera, the same Mykerinos whom Herodotos, following traditions of the Egyptian priests, mentions as one of the best rulers of the land. The stone ceiling of the Mykerinos chamber was at first thought to be vaulted, it having the form of a low pointed arch. This peculiarity proved, however, to be due to a hollowing-out of the inclined gable blocks.