From the New York Spectator.

More Indian Treaties.- A treaty was concluded at Fort Armstrong, Illinois on the 21st of September last between the United States on the one part, and the Sac and Fox Indians on the other. It stipulates for a cession to the former of a tract of country included within the following bound, to wit;

Beginning on the Mississippi River, at the point where the Sac and Fox northern boundary line, as established by the second article of the Prairie du Chen, of the 10th of July, one thousand eight hundred and thirty, strikes said river; thence up said boundary line to a point fifty miles from the Mississippi measured on said line; thence in a right line to the nearest point on the Red Cedar of the Ioway, 40 miles from the Mississippi River; thence in a right line to a point in the northern boundary line of the State of Missouri, fifty miles, measured on said boundary, from the Mississippi River; thence by the last mentioned boundary to the Mississippi River, and by the western shore of said river to the place beginning.

By a subsequent provision, there is reserved from the forgoing a tract of four hundred square miles for the use of the Indians on both sides of the Ioway River, including Le-o-kuck's principal village. In consideration of the promises the United States are to pay $20,000 per annum to the Indians in specie for thirty successive years, with sundry other stipulations of minor importance. Black Hawk and The Prophet, with their sons, and five other Indians, are to remain as hostages during the pleasure of the President of the United States.

Another treaty with the Appalachicola band of Indians in Florida, was concluded at Tallahassee on the 11th October last, which likewise stipulates for a cession to the United States of a prior reservation which is described as commencing on the Appalachicola, one mile below Tuski Hujo's improvements, running up said river four miles, thence west 2 miles, thence southerly to a point due west of the beginning thence east to the beginning point.

The United States are to pay therefore the sum of $13,000 and the Indians, 256 in number are to remove on or before the 1st of November next, west of the Mississippi, beyond the limits of the states and territories of the former.

A third treaty between the United States and the Kickapoo tribe of Indians was concluded at Castor Hill in the State of Missouri, on the 20th of October last, by which the latter cede to the former all their claims to lands within the state of Missouri, in consideration whereof they are to receive lands lying southwest of the Missouri Rivers as their permanent residence described as follows:-

'Beginning on the Delaware line, six miles westwardly of Fort Leavenworth, thence with the Delaware line westwardly sixth miles, thence north twenty miles, thence in a direct line to the west bank of Missouri, at a point twenty-six miles north of Fort Leavenworth, thence down the west bank of Missouri, at a point six miles northwest of Fort Leavenworth, and thence to the beginning.'

The United States are also to pay to the Kickapoos $18,000, besides an annuity of $5,000 per annum for nineteen years, with sundry other minor payments, amounting in all to about $30,000. The tract assigned to the Kickapoos contains about twelve thousand square miles.

The greatest objection to these and the preceding Indian treaties that we have noticed, seems to be, that their new locations are still too near the whites. The farther they are removed from us, the better for them. They will probably be but scarcely warm in their new abodes before the encroaching spirit of our border patriots will seek to drive them still farther into the wilderness. Let them, therefore, make new their real remove beyond the Rocky Mountains to the remotest space that can be found for them on this side of the Pacific.