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 Bv the arrival at New-York of two or three packets from Liverpool, dates to the 2d October are received. The Spectator says:-

 There has been six days irregular battle in Brussels. at times raging fnriOusly. and ending by the withdrawal of the Kings troops, after much blood shed On both sides, and a vast destruction of property. We have not room for half the details to-day. The troops were withdrawn on the 27th of September taking up position at Dicghem, but with view, probably. of failing back upon Ant werp. The accounts of the different parties are somewhat variant; the insurgents claim to have compelled the retreat: on the other hand, however, 1t is maintained, that, '' un- able to obtain possession of the town by any other means than bOmhardment, which would have caused the destruction of that property which it was the professed object of the troops to preserve from threatened pit lage by the POpulace, and the sacrifice of loy- al as well as disloyal subjects. Prince Frede- rick took the only course which was left to him consistently with honor, and the desire to prevent the unnecessary eff',sion of blood, and withdrew his army 10 a distance of two leagues from the capital, there to await the decision of the Government as to future Ope- rati0ns."

 The conduct Of the populace proves that they are directed by experienced officers At their head. in the capacity of Commander. in-Chief, is Juan Van Hdlcn, a Spanard o Belgic origin, whose sulferings from the h. q,IisitiOn in Spain, have rendered his name familiarin Europe. It is no longer, therefore, 1 the turbulence of an unrestrainpd. undiscip. lined, and inconsiderate mob, bat rebellion Ol the mass, organized by men of military tal- ents, snd actuated by motives of personal hos tility.

 The following is aregular, hut very summa- ry detail of the affairs in Brussels, during this perilous week:

 1 From Brussels paper.l

 Retreat cf the Dutch Troops from Brussels, 9fter Jour days fghting. .. Owing to the entrance of the military into Brussels on Thursday last, we have been pre- vented from publishing the news from Havre since that period. This morning the military having left the city. we are enabled (as we'll as the hurry and confusion will permit us) to lay before our readers such facts only as have come within our own knowledge, or which we have extracted from the Courier des Pays Bas. On "Wednesday the 22d inst. several

 

 POrtes Schaerback and Flanders, to force the troops to an engagement. A continual fire was kept up from eight in the morning till six in the evening. in the direction of Dieghem and Zellick. The Bourgeois brought their cannon out of the town to attack the troops, and many were killed on both sides, but the number Is not yet known. In the evening a proclamation from Prince Frederick arrived. and was received with great indignation.- Several Ot the chiefs of the Garde Bourgeois sat ln deliberatiOn at the Hotel de Vile, but separated without coming to any conclusion. At III o'clock, M. Ducpetiaux, accompanied by gentleman, left Brussels for the head quarters Of Prince Frederick, to represent to him the state of the city and to disavow, in the name Of the armed Garde Bourgeoise. any invitation to the Prince to enter the city and to demand that the restrictions in the am nesty announced in the proclamation should be suppressed, if the Prince intended to en- ter by force. M. Ducpetiaux and the geptle- man were immediately put under arrest, and sent of to Antwerp.

 On Thursday morning, about half past elsht, m conformity with the proclamation of the Prince, the Dutch troops presented them. selves at the POrtes ,Schaerbeck and Lonva;n. and soon learned the amicable reception thev were about to receive. The troops taking advantage of the disorder Occasioned bv their last ire. advanced to the Rue Royale. when to the attack on both sides became extremply warm. The troops succeeded in pene,ratins 10 the Park. without considerable loss. where they intrenched themselves in the wood. and stationed several pieces of their artillery in the most commanding situations. The Rour. geois immediately surrounded the Park, and fired on them with great effect. Whilst these events were passing in the upper part of inc town. strong body of Hussars and Infan,rv entered at the Porte de Flandres, and cross,d the barrieades raised in that quarter. Thev were immediately attacked by the Bourgeois. and the greater part made to retire: an aid. de-camp of Prince Frederick and a colonel ot hussars were taken prisoners, with several other "lhcers and privates. The tro0ps hay- Ing met with such resistance at the Porte de Fiandres have not since attempted to enter consequently the lower town remains ner' !ectiy quiet. About ia o'clock inc soldiers ,n tne rark were attacked with great vigour " !ne bourgeois; an unceasing fire was kept up TOT nve hours; the loss was great on hoth slues. Al o'clock zoo volunteers came in rom Wavre to assist the citizens: th.v in- a.antiy new to the combat, which continued till night on both sides the nnmher Inf L;II. Cd and wounded was immenae.

 On Friday the 24th, 1t vas found that ths troop. had in the night brought un eonS'ders. O'e re'niorcementa, and entered into the houg.