FROM THE CITY OF MEXICO.
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The New Orleans Picayune has advi- ccs to the 18th of April. We copy from that paper the following summary of the intelligence:

 We look first for news from Santa Anna and we find him engaged, with the utmost diligence, at OriZaba, raising troops. He shows, as the letter will say, incredible energy in repairing the losses he has sus- tained, and ere this is, no doubt, at tho head of an army very considerable in numbers, however inferior in dicipline. He is, moreover, according to the papers, granting permits to guerilla bands. Be- ing straitened for funds, he is said to have imposed upon Orizaba loan of $ l6 O00. Wegive translation of the first letter we have seen of Santa Anna's since his defeat at Cerro Gordo It was written on the 22l of April, from Orizaba.

 Below we copy portion of this letter:

 "It appears that the enemy, improving his triumph, and the aStonishment at which he finds the people, designs to march upon the capital, but l am taking measures to organize here respectable force, in addition to that at present under the command of Gen. D. Antonio Leon, and can assure the President Substitute that with somo aid from the neighboring States or the Supreme Government itself, shall be able 10 harrdss the rear guard of the enemy with effect until his destruc. tructon is achieved. l have already dis patched orders 70 Gen. Canalizo that he protect with his cavalry the fortress of Perote, and to Gen. Gaona, tha: he place it in the bcs, state of dcicnce until can relieve him.

 l cannot omit to express to your Excel lency my astonishment at the apathy and setishness of our citizens in tho present critical circumstances and 1 now deem it necesSary,to save the country, that the Supreme Powers of tho uatlOn should dic- late severe and effective measures 70 en. force complinnce on the part of everyone with those duties which society and the laws impose upon him.

 For my part 1 sh III spare no sacrifice

 in behalf of he country my life and my blood, my repose and my tortuae are en- treIy consecra,ed 10 it.

 For tho present l havo established my headquarters here, where shall receive the orders which ths Supreme Govern. lnent may have Occa<ion 10 transmit. | ANTONIO LOPEZ DE SANTA ANNA. 1 A short letter which Santn Anna wrote the same day 10 the President is hardly worth publishing. He begs him not to despair, not to make treaty with the enemy and 10 defend the capital. He begs most pilcously for some money.

 The same number of El Republicano, which contains their first letter defends the National Guard from theil reproach therein cast upon it of the loss of Cerro Gordo. Santa Annals ipse diril has al- ready lost much of it's power. But not1 wlthstauding the evident dissatisfaction felt with hIm by his eountrymen, the su> | preme government has confirmed him to the command of the army by express or> dcrs. The necessity of such an order in~ dcatcs that his authority had been se~ rely shaken.

 Each st"p in the march of Gen. Scott was chFonIcled in the papers of the capi- tai, and eXcesscs ot histroops were greatly magnifcd and denourced.

 The press is loud in it's denunciations of the proprietors of haciendas, who were 1 selling grain to Gen. Scott, from which we infer that he does not lack supplies.

 Congress having conferred very ample powers upon the President Substitute to provide tor the existing emergency in the affairs of :he country, was occupying it. self with the discussion of constitutional questions. The President shows a good deai more apathy than is acceptable to the editors of Fl Republioano. They aps peal 10 him 10 arouse himself and call forth the energies of the natien to meet the crisis. They denounce as cowardly and infamous any course other than war anu IDng Var, Those who are suspect. ed of more peaceable views are denouac- ed in no measured terms.

 | A "Yankee" was arrested on the 26lh, having presented himself to the President to cruier with him upon the prop,iety of peace, but in no authorized capacity 1 No clue ls given as to who the man is.- Ila is negotiating "on hls own hook" 1 il general and absolute decree of am- ursly for all political offences is announ- ced in ih" papers ot the 27lh ult.

 