The Tripartite Treaty

New York, Dec. 21. The HeraWs dispatoh says : " Tho President in bis message, coninmnicatej to tho Sánate yesterday, referred the whole subject of the tripartito expedition to Mexico, and asks the tíenate to adviso him trhat course to pursue " The Tribune learris that among tho papers on Thursday transmitted to the Senate concerning Mexiean affairs, was the project of a treaty with Mexioo,;tbe provisions of which are ot' such importanca that it is even thought it woukl, if eonfinned, lead to the withdrawal of England and Frauce from the Spanish allianee. Is provides that our governraent shall p.iy 811,000,000 to Mexico, to bo applied to the satisfaction of ünglish and French credilors, and fur a giant to the United States of commercial privileges, the adjustiDcnt of outsanding dab's, and the right of transit across Mexican territory for troops and mumtious of war. It is thought tliat tl:e treaty will be spoedily eonfirmed and sent at once to Vera Cruz.