The latest news from Mexico, and from our army, represent affairs in a most quaint and ludicrous light, with regard to the policy and movements of all parties. The average progress of the army of invasion appears to be about three miles a day, with no opposition, nor prospect of any; while the Mexicans are tame as bullfrogs, showing no disposition to either fight or run. Gen. Parades having got sick of his job, has suffered himself to be imprisoned at the approach of Santa Anna, who has returned and resumed the government without opposition. Mr. Polk having sent an embassy, virtually asking permission to "give it up," has been refused a hearing, unless he will first withdraw our troops from the Mexican territory; while the Mexican army appointed to combat and conquer Gen. Taylor, remains at ease and content at Mexico, calculating, probably, that the longer they wait, the less distance they will have to travel to encounter the Yankees. Whether our President will call off Gen. Taylor with the American troops, before they reach anywhere in particular, remains to be decided. * * * * * TRADE TO SANTA FE. The trade to Santa Fe is said to be much greater this year than ever before. Thirty-nine companies of traders have gone out this season, taking with them four hundred and thirteen wagons, which are in the charge of about eighteen hundred men. The value of the goods carried out by these traders, is estimated at nearly a million of dollars. * * * * * A large mastiff dog picked up a favorite lap dog in the upper part of the city last week, and ran off with it. He was pursued by a mob, and after a severe chase, the terrified pet was recovered and brought back rejoicing. * * * * * THE SCIENTIFIC AMERICAN. Persons wishing to subscribe for this paper, have only to enclose the amount in a letter directed (post paid) to MUNN & COMPANY, Publishers of the Scientific American, New York City. TERMS.--$2 a year; ONE DOLLAR IN ADVANCE--the remainder in 6 months. _Postmasters_ are respectfully requested to receive subscriptions for this paper, to whom a discount of 25 per cent will be allowed. Any person sending us 4 subscribers for 6 months, shall receive a copy of the paper for the same length of time, gratis. * * * * * THE HARBOR OF HAVANA [Illustration: Havana Harbor] Our engraving represents a view of the harbor of Havana, which is one of the most commodious in the world, communicating with the sea by a channel little more than half a mile in length, and from 300 to 350 yards wide; its depth varying from eight to ten fathoms. The harbor itself is an oblong basin, surrounded by heights which usually shelter it from the wind.