Daily National Intelligencer

New York.—The elections for senators and representatives in the Legislature of New York has just terminated, after a pretty warm electioneering campaign. It has been said there can be but two parties to any contest; but the recent conflict in New York has certainly been, what our commercial controversy of 1809-10 with the two belligerents was facetiously termed, a triangular war—and, if we may pursue the figure, it may be said to have had a triangular result, and nearly equilateral. We do not pretend to give to our readers a history of the parties in that state, or to describe the particular features of their respective creeds. It is sufficient, for general purposes, to say, that the republican party having, when consolidated, a majority of about two to one over the federal party, is divided into two sections, the one friendly to the administration of Mr. Clinton, the present governor, and the other decidedly opposed to him, but both declaring themselves friendly to the present administration of the general government. The last assembly, (the popular branch of the legislature,) contained a larger number of the first section than it appears it will embrace after the late election. At the late session of the legislature, it will be remembered, the parties were so balanced, each supporting its own candidate, that no election could be made of a Senator in Congress to supply the vacancy occasioned by the expiration of Mr. King's term of service. That state of things will now continue so far, that, without the union of two of the three parties, no measure can pass the legislature, nor any election be made. It will necessarily happen, therefore, that the federal party, or a portion of the members composing it, will act with one or the other section of the republican party, which cannot act together, being more opposed (in feeling, at least) to one another, than to their old antagonists, the federal party.

We have not seen any complete return of the Election; but it appears there are elected to the Assembly about forty members of each of these three parties. When the result is more accurately ascertained, we shall state it.