A correspondent of the New York Post furnishes a very interesting account of the battle of Tuesday, the 1st instant, at "Malvern Hill." From the Post's account we make the subjoined extracts:

At one o'clock the rebels came up in solid phalanxes and pressed forward towards the guns, supported by column after column as far as the eye could reach, and presenting one of the most fearful as well as interesting sights imaginable. For some miles around, with the exception of a point on the left, the country is almost entirely clear of forest, and one of the largest and most beautiful estates extend, over which the eye sweeps at pleasure.

The fearful havoc of the rapidly bursting shells, from guns so ranged as to sweep any position far and near, and in any direction, was terrible to behold. The burning sun, which had poured down its terrible heat during the previous three days and up to noon, had become overclouded, and the day was comparatively cool.

Still the dust and smoke partially concealed the dreadful carnage.

The enemy's guns were by no means without their effect upon our side, and the dead and wounded were literally covering the field, while as the enemy advanced nearer and nearer, the old dwelling turned into a hospital was immediately under fire; still the surgeons and nurses never flinched, and the stretchers and ambulances came in with their loads of wounded.

As the enemy approached General Morell's division met them, received their distant fire, and, advancing, poured in volley after volley, while the several pieces of artillery directed to this point threw canister and grape, and, as it were, mowed them down by battalions.

The enemy could not bear it, and our troops fought against a second relief of fresh troops in several instances, and then charging, drove them from the field. Another column came up in front of Gen. Sykes, when the regulars met them in a most admirable and determined manner.

Fierceness of Conflict.

Col. Warren, commanding a division, made a most desperate charge, and was warmly complimented by Gen. Porter for his bravery and the efficiency of his men.

At the right a most desperate effort was made to divide the army and penetrate the hill over a rising sweep of ground, extending down in a less sloping manner and offering a better progress to troops advancing up the hill. But they sadly mistook this point of attack. General Meagher, wounded though he was, was there with his brigade.

As the battle grew warm, General Griffin, until recently in command of Griffin's Battery, who had during the idleness of the infantry again taken his accustomed place directing one wing of the artillery, but seeing that the services of his brigade were needed, returned to his command, and at his first advance was met by ten regiments of rebels.

On the right the rebels were later in their approach, but when they advanced it was a desperate attempt to turn the flank. Gen. Couch's Division had seen less service, perhaps, than any other, and was fully prepared to receive them, and the men were impatient to get into action.

They were gallantly led by Gens. Howe, Abercrombie and Palmer, and held their own without a moment's flinching. until, when the day seemed to waver, they gave a new impetus to the fight, which seemed to extend along the whole line in a contest which lasted over an hour, when he drove the enemy from the field, his men climbing over the piles of dead as they advanced in the charge. His horse was shot under him during the engagement.

It was now approaching night, and the fortunes of the day had only wavered momentarily at times toward the rebels, and the fight was growing desperate. The troops were getting used to smoke, dust, and din of battle, and the roar of cannon and bursting of shells, more terrific than ever, seemed to have less effect upon the rebels. They pressed up with fearful determination, column after column of fresh troops, and the courage of the whole army was at its best.

The line of the enemy's attack was concentrating, and Gen. Porter rode in front of the army ordering the two wings of Morell, and Skyes and Couch to concentrate, and withdrawing Meagher, placed him in a position on the left to flank the approaching columns, with orders to charge at advantageous opportunities, and giving the same orders to Butterfield's brigade of Morell's division, and Col. Warren of Gen. Sykes', and to Gen. Abercrombie in Gen. Couch's.

At this moment Gen. Sickles' brigade came up, proffered by Gen. Heintzelman, and was received by Gen. Porter, and conducted to a point a little neglected.

The engagement now became a scene of madness -- a force of thirty thousand contending against fully three time their own number, plunging in with rapid charges and deafening shouts, and successfully driving them from the field. A brilliant charge of the New York Forty-fourth, under Colonel Rice, captured a secesh [rebel] flag with the motto "Seven Pines."

Our troops were in no condition to follow the enemy beyond the range of the artillery, and they contented themselves with leaving them at a range where the effect of the artillery was most terrible. The roar of musketry died away, and the engagement became an artillery contest, neither side attempting to advance.

Our killed and wounded were numbered by thousands, and what the loss of the rebels was can be imagined.

As night closed in the firing gradually ceased until not an alarm gun was heard. Detachments of each company were sent out to gather in the wounded and bury the dead, and judging from the appearance of the field, nearly the whole army was out recognizing friends and members of their companies killed and wounded, and bringing them off. The Union and rebels soldiers mingled promiscuously in the search and separation of those of either side, hardly noticing that a few minutes before they had been opposed to each other in deadly combat, All the wagons, guns and the immense siege train were safely removed to Harrison's Bar by Wednesday noon, and the army was set at work to recruit and reorganize.

Incidents.

The scenes of the battlefield are both touching and interesting.

While the engagement goes on and a man here and there falls, one wounded and another dead, the dead body is left lying in the position in which it fell, the soldier sometimes grasping his half-loaded musket and ramrod, or loaded and aiming as if to again discharge it; another dying after a few minutes' or an hour's consciousness, with hands clasped or any little keepsake lying upon his bosom, as if his last word and breath had been a prayer for the loved ones away.

The wounded, if their injuries are slight, are allowed to walk away, or if more serious, one or two comrades lay down their arms and lead him off, until met by the stretcher bearers, when they are laid upon the stretcher and taken to the ambulances in waiting in a protected spot, to take them to a place selected as a temporary hospital, where surgeons are in attendance to receive them. Here, then, come the trying scenes. The physician discriminates between those mortally wounded and those who will probably live, and the operations are affecting in the extreme.

One mortally wounded soldier asks, "Doctor, what do you think of my case -- is it dangerous?" With a feeling which brings tears to the eyes of men of the stoutest hearts, the doctor replies, both for the surgeon and the spiritual adviser, that there is little or no hope, and the soldier closes his eyes for a few moments in despair, then rising, he looks earnestly for a sympathizing friend, and earnestly makes the same inquiry.

Major Barnum, of the Twelfth New York, was mortally wounded, and while lying breathing his last a friend asked him if he had any message, to which he replied: "Tell my wife that in my last thoughts were blended my wife, my boy and my flag." He asked of the physician how the battle went, and when told that it was favorable to us, he said, "God bless the old fla--," and expired with the prayer finishing inaudibly with his closing lips. A braver officer never urged his men to gallantry.

I met one soldier with a ball through his leg, and bleeding to death surely and rapidly. "Oh," said he, "what will Mrs. Ellis and Jennie do? Poor William is dead -- how his mother and sister loved him. And he would not have enlisted if I had not. O dear, O dear!" And beseeching me to take a message to them, said: "Poor Mrs. Ellis; poor me, I have no mother and sister to weep for me; I might as well fight those wicked rebels as not."

Another, shot through the lungs, clasped a locket to his breast and moved his lips till I put down my ear and listened for his last breath: "You'll tell her, won't you?"

Tell who or where I could not ask, but the locket was the picture of one who might be wife, sweetheart or sister.

At one place apart from the rest men were carried to have arms and legs amputated. At three different times I saw parties of men carrying away the amputated limbs for burial. When the battle is over, details of men from each regiment go to the field and pick up and recognize the bodies of the dead, carrying them to a convenient place, and laying them face to the enemy ready for burial.

A Skirmish.

On Thursday morning the enemy opened an attack with cavalry, artillery and infantry on our rear, and for a time there were long faces, and the army was ordered under arms. A slight reconnaissance gave us information of the position and strength of the enemy, and showed that by a little adroitness we might capture the whole force.

Accordingly, General Davidson, with his brigade, proceeded to cut off the rebel force, and soon returned with six guns and some prisoners, the remainder making their escape. They were pursued for some four miles. The success of this little skirmish had an electrical effect upon our men. The news was received with cheer after cheer, and the army stock immediately moved up one hundred per cent.

Losses.

A correspondent of the New York Times writes:

In all the engagements, Mechanicsville and Gaines' Mill included, [Union losses in killed, wounded and prisoners] can hardly fall far short, or much exceed, twenty-five thousand men. Our loss in prisoners is heavy, the enemy's cavalry making easy captives of thousands of stragglers, who lined the roads in our rear, and besides these we have left thousands of wounded in their hands. Their loss must be at least as heavy, and probably heavier in killed and wounded than our own, but in prisoners it fell far short, though we have taken about two thousand from them. Included in our loss there were many of our finest officers, the number of line, company and staff officers killed and disabled, being unusually large. Our loss of guns is stated at forty, and we have taken from the enemy perhaps two-thirds that number.

Seventeenth Virginia.

The Alexandria News says:

From authentic sources we learn that of the Seventeenth Virginia Regiment, raised in this immediate vicinity, and who left this city on the 24th of May last, one year ago, 800 strong, after having come out of the late battles before Richmond, number less than 100 men, the whole of whom were taken prisoners and conveyed by steamers to New York. Below we publish a list of names of Alexandrians who are amongst the survivors and made prisoners:

Lt. Col. M. Marye. Captains J. Stewart, W. Perry, W.W. Smith. Lieuts. F.W. Wallace, C.W. Green. Privates W. Harmon, A. Hunter, F. Davis, C. Greenwood, W.A. Murray, D. Manley, T.J. Powers, J.H. Devaughn, J. Hantzman, T. Cross, Patrick Keating, A.. Hurdle, F. Ballenger, W.B. McKnight, W. Paul, R. Paul, Hector Eaches.

The Battle of Tuesday, as Described by the Richmond Examiner.

TERRIBLE SLAUGHTER OF THE CONFEDERATES.

The Washington Republican has received a copy of the Richmond Examiner of the 4th instant, containing an account of the battle on the Tuesday previous. It is as follows:

A Severe Battle.[From the Richmond Examiner, July 4.]

The battle of Tuesday was perhaps the fiercest and most sanguinary of the series of bloody conflicts that have signalized each of the last seven days. We have already adverted to the part played in the action by Gen. Jackson and others, but as yet have made little mention of the operations upon the occasion of Gen. Magruder and the troops under his command. We now propose to give some particulars as we have obtained on the field after the battle.

Early on Tuesday morning the enemy, from the position to which he had been driven the night before, continued his retreat in a southeasterly direction towards his gunboats on the James river.

At 8 o'clock a.m. Magruder recommended the pursuit, advancing cautiously but steadily, and shelling the forests and swamps in front as he progressed. This method of advance was kept up throughout the morning and until 4 o'clock p.m., without coming up with the enemy. But between 4 and 5 o'clock our troops reached a large open field, a mile long and three-quarters in width, on the farm of Dr. Carter. The enemy were discovered strongly entrenched in a dense forest on the other side of this field. Their artillery, of about fifty pieces, could be plainly seen bristling on their freshly constructed earthworks.

At ten minutes before 5 o'clock p.m. General Magruder ordered his men to charge across the field and drive the enemy from their position. Gallantly they sprang to the encounter, rushing into the field at a full run. Instantly from the line of the enemy's breastworks a murderous storm of grape and canister was hurled into their ranks, with the most terrible effect.

Officers and men went down by hundreds, but yet, undaunted and unwavering, our line dashed on until two-thirds of the distance across the field was accomplished.

Here the carnage from the withering fire of the enemy's combined artillery and musketry was dreadful. Our lines wavered a moment, and fell back to the cover of the woods.

Twice again the effort to carry the position was renewed, but each time with the same results. Night, at length, rendered further attempt injudicious, and the fight, until ten o'clock, was kept up by the artillery of both sides. To add to the horrors, if not the dangers, of the battle, the enemy's gunboats, from their position at Curl's Neck, two and a half miles distant, poured on the field continued broadsides from their immense rifled guns.

Though it is questionable, as we have suggested, whether any serious loss was inflicted on us by the gunboats, the horrors of the fight were aggravated by monster shells, which tore shrieking through the forests and exploded with a concussion which seemed to shake the solid earth itself. The moral effect on the Yankees of these terror-inspiring allies must have been very great, and in this, we believe, consisted their greatest damage to the army of the South.

It must not be inferred from the above account that the slaughter was all on our side. We have the best reasons to know that the well-directed fire of our cannon and musketry, both before and subsequent to our efforts to storm the enemy's position, fell with fatal effect upon his heavily massed forces.

At ten o'clock p.m. the last gun was fired from our side. Each side held the position occupied when the fight begun, and during the remainder of the night each was busily engaged removing their wounded. The rumble of the enemy's ambulances and wagons, in rapid and hurried motion, did not cease even with the dawn. At ten o'clock Wednesday morning they were still busy, and discontinued their labors, not because their wounded had been removed, but for fear of our advance. Our wounded were carried from the field directly to the farmhouses in the neighborhood, whence, after their injuries had been examined and dressed, they were brought to this city.

During the morning the enemy evacuated his position and retreated, still bearing in a southeasterly direction, and apparently not attempting to lessen the distance between him and his gunboats.

The battlefield, surveyed through the cold rain of Wednesday morning, presented scenes too shocking to be dwelt on without anguish. The woods and the field before mentioned were, on the western side, covered with our dead, in all the degrees of violent mutilation; while in the woods on the west of the field lay, in about equal numbers, the blue uniformed bodies of the enemy. Many of the latter were still alive, having been left by their friends in their indecent haste to escape from the rebels.

Great numbers of horses were killed on both sides, and the sight of their disfigured carcasses and the stench proceeding from them added much to the loathsome horrors of the bloody field. The corn fields, but recently turned by the plowshare, were furrowed and torn by iron missiles. Thousands of round shot and unexploded shell lay upon the surface of the earth. Among the latter were many of the enormous shells thrown from the gunboats. They were eight inches in width by twenty-three in length. The ravages of these monsters were everywhere discernible through the forests. In some places long avenues were cut through the tree tops, and here and there great trees, three and four feet in thickness, were burst open and split to very shreds. In one remarkable respect this battlefield differed in appearance from any of the preceding days: In the track of the enemy's flight there were no cast-away blue great coats, no blankets, tents nor clothing; no letters and no wasted commissary stores. He had evidently, before reaching this point, thrown away everything that could retard his hasty retreat. Nothing was found on this portion of the field but killed and wounded Yankees and their guns and knapsacks.