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THE UNITED STATES AND MEAitO-

 The Courier des Etats Unis publishes at large note from M. GoRosrIzA, Mexican Minister to the U States, which, from the date, October 18th, lss6,1 and is contents, appears 10 be his final letter to the Executive of the United States taking his departure from Washington, whence it IS dated. The letter IS of come length and having been apparently translated from the Spanish into French, might have it's meaning strained by farther translation from French into En- rlish We shall not attempt translation o It, there fore but confne ourselves to the general import winch is as follows

 Referring to former letters of his to the Department of State M. GoRosrIzA says that he at once that that e invasion of the Mexican territory by the troops of the United States entirely gratutous lnsult since there had been offence the part of Mexco, nor any lawful the part of the U States, to justify it, that he had fatered himself that his repre- sshtalons to thls Government would have had the e feet to induce change of it's scoutse that, however it had happened otherwise: that the note ot hr DICKENS {acng Secretary of State of the 18th instant, had left him without hope-the explanations which he had gv

 n him. on the part of the President, having convinced Sfbe M5nster of inc lite that Mexico had 10 expect from the United States who would sacrifice It's most sacred rights and positive interests to the shadow sof an imaginary danger who insults Mexico and com sns wrong against heI, purely by way of precauoii- Under circumstances so painful the Minister concludes by saying he should fail in duty ii, the represent stave of Mexico, he did not make of the only way which remained to him to express, at least, how he was wounded by the wrongs done his country by the United States; and therefore declares FiFon his responsibility that he considers his mission tertn- ated, and requests his passports to be 10 him at Philadelphia to which place he declares his purpose to sge on the following day.

 The note of Mr. Dckins, inreply to his letter, is al so published in the Coufief and to the following ef- feet: that the president regrets that erroneous ap !preciaton of the which he has thought his duty to take, for the defence of the frontier has ndu- eced M. Gorostiza to terminate his mission; that the President, howeAer, enerains the hope that the Mex icah Government will do him more justice than the Minister; and ha to prevent all misunderstanding, he will take suitable steps, and vii send to Nr. ELLIS the United States Minister to Mexico instructions to give to the Government of Mexico all necessary explana- lions on the subject.

 The letters on both sides are. courteous in their terms. We trust all readers will concur with us Tn the earnest hope that the representations which Mr. Ellis Is 10 be instructed to make will have the effect to preserve unbroken the friendship professed by bothna tons and solennly pledged by treaty to be relgously observed between them.