The most significant and most creditable celebration ever held in Washington has just transpired. A good ruler has been followed from his home to the Capitol by a grand cortege, worthy of the memory and of the nation's power. As description must do injustice to the extent of the display, so must criticism fail to sufficiently commend its perfect tastefulness, Rarely has a Republican assemblage been so orderly. The funeral of Mr. Lincoln is something to be remembered for a cycle. It caps all eulogy upon his life and services, and was, without exception, the most representative, spontaneous, and remarkable testimonial ever rendered to the remains of an American citizen.

The night before the funeral showed the probable character of the cortege. At Willard's alone four hundred applications by telegraph for beds were refused. As many as six thousand persons spent Tuesday night in the streets, in depots and in outbuildings. The population of the city this morning was not far short of a hundred thousand, and of these as many at thirty thousand walked in procession with Mr. Lincoln's ashes.

All orders of folks were at hand. The country adjacent sent in hay-wagons, donkey-carts, dearborns. All who could slip away from the army came to town, and every attainable section of the Union forwarded mourners. At no time in his life had Mr. Lincoln so many to throng about him as in this hour, when he is powerless to do any one a service. For once in history, office-seekers were disinterested, and contractors and hangers-on human. These came, for this time only, to the capital of the republic without an axe to grind or a curiosity to subserve; respect and grief were all their motive. This day was shown that the great public heart beats unselfish and reverent, even after a dynasty of plunder and war.

The arrangements for the funeral were made by Mr. Harrington, Assistant-Secretary of the Treasury, who was beset by applicants for tickets. The number of these were reduced to six hundred, the clergy getting sixty and the press twenty. I was among the first to pass the White House guards and enter the building.

Its freestone columns were draped in black, and all the windows were funereal. The ancient reception-room was half closed, and the famous East room, which is approached by a spacious hall, had been reserved for the obsequies. There are none present here but a few silent attendants of the late owner of the republican palace. Deeply ensconced in the white satin stuffing of his coffin, the President lies like one asleep. The broad, high, beautiful room is like the varnished interior of a vault. The frescoed ceiling wears the national shield, some pointed vases filled with flowers and fruit, and three emblazonings of gilt pendant from which are shrouded chandeliers. A purplish gray is the prevailing tint of the ceiling. The cornice is silver white, set off by a velvet crimson. The wall paper is gold and red, broken by eight lofty mirrors, which are chastely margined with black and faced with fleece.

Their imperfect surfaces reflect the lofty catafalque, an open canopy of solemn alapaca, lined with tasteful satin of creamish lead, looped at the curving roof and dropping to the four corners in half transparent tapestry. Beneath the roof, the half light shines upon a stage of fresh and fragrant flowers, up-bearing a long, high coffin. White lace of pure silver pendant from the border throws a mild shimmer upon the solid silver tracery hinges and emblazonings. A cross of lilies stands at the head, an anchor of roses at the foot. The lid is drawn back to show the face and bosom, and on the coffin top are heather, precious flowers, and sprigs of green. This catafalque, or in plain words, this coffin set upon a platform and canopied, has around it a sufficient space of Brussels carpet, and on three sides of this there are raised steps covered with black, on which the honored visitors are to stand.

The fourth side is bare, save of a single row of chairs some twenty in number, on which the reporters are to sit. The odor of the room is fresh and healthy; the shade is solemn, without being oppressive. All is rich, simple, and spacious, and in such sort as any king might wish to lie. Approach and look at the dead man.

Death has fastened into his frozen face all the character and idiosyncrasy of life. He has not changed one line of his grave, grotesque countenance, nor smoothed out a single feature. The hue is rather bloodless and leaden; but he was alway sallow. The dark eyebrows seem abruptly arched; the beard, which will grow no more, is shaved close, save the tuft at the short small chin. The mouth is shut, like that of one who had put the foot down firm, and so are the eyes, which look as calm as slumber. The collar is short and awkward, turned over the stiff elastic cravat, and whatever energy or humor or tender gravity marked the living face is hardened into its pulseless outline. No corpse in the world is better prepared according to appearances. The white satin around it reflects sufficient light upon the face to show us that death is really there; but there are sweet roses and early magnolias, and the balmiest of lilies strewn around, as if the flowers had begun to bloom even upon his coffin. Looking on uninterruptedly! for there is no pressure, and henceforward the place will be thronged with gazers who will take from the sight its suggestiveness and respect. Three years ago, when little Willie Lincoln died, Doctors Brown and Alexander, the embalmers or injectors, prepared his body so handsomely that the President had it twice disinterred to look upon it. The same men, in the same way, have made perpetual these beloved lineaments. There is now no blood in the body; it was drained by the jugular vein and sacredly preserved, and through a cutting on the inside of the thigh the empty blood vessels were charged with a chemical preparation which soon hardened to the consistence of stone. The long and bony body is now hard and stiff, so that beyond its present position it cannot be moved any more than the arms or legs of a statue. It has undergone many changes. The scalp has been removed, the brain taken out, the chest opened and the blood emptied. All that we see of Abraham Lincoln, so cunningly contemplated in this splendid coffin, is a mere shell, an effigy, a sculpture. He lies in sleep, but it is the sleep of marble. All that made this flesh vital, sentient, and affectionate is gone forever.

The officers present are Generals Hunter and Dyer and two staff captains. Hunter, compact and dark and reticent, walks about the empty chamber in full uniform, his bright buttons and sash and sword contrasting with his dark blue uniform, gauntlets upon his hands, crape on his arm and blade, his corded hat in his hands, a paper collar just apparent above his velvet tips, and now and then he speaks to Captain Nesmith or Captain Dewes, of General Harding's staff, rather as one who wishes company than one who has anything to say. His two silver stars upon his shoulder shine dimly in the draped apartment. He was one of the first in the war to urge the measures which Mr. Lincoln afterward adopted. The aids walk to and fro, selected without reference to any association with the late President. Their clothes are rich, their swords wear mourning, they go in silence, everything is funereal. In the deeply-draped mirrors strange mirages are seen, as in the coffin scene of "Lucretia Borgia," where all the dusky perspectives bear vistas of gloomy palls. The upholsterers make timid noises of driving nails and spreading tapestry; but save ourselves and these few watchers and workers, only the dead is here. The White House, so ill-appreciated in common times, is seen to be capacious and elegant—no disgrace to the nation even in the eyes of those foreign folk of rank who shall gather here directly.

As we sit brooding, with the pall straight before us, the funeral guns are heard indistinctly booming from the far forts, with the tap of drums in the serried street without, where troops and citizens are forming for the grand procession. We see through the window in the beautiful spring day that the grass is brightly green; and all the trees in blossom, show us through their archways the bronze and marble statues breaking the horizon. But there is one at an upper window, seeing all this through her tears, to whom the beautiful noon, with its wealth of zephyrs and sweets, can waft no gratulation. The father of her children, the confidant of her affection and ambition, has passed from life into immortality, and lies below, dumb, cold murdered. The feeling of sympathy for Mrs. Lincoln is as wide-spread as the regret for the chief magistrate. Whatever indiscretions she may have committed in the abrupt transition from plainness to power are now forgiven and forgotten. She and her sons are the property of the nation associated with its truest glories and its worst bereavement. By and by the guests drop in, hat in hand, wearing upon their sleeves waving crape; and some of them slip up to the coffin to carry away a last impression of the fading face.