It will be perceived by inspecting the map that this new boundary cuts off a large portion of northern Mexico, and gives us the valuable territories of New Mexico and Upper California, together with an undisputed right to the enjoyment of Texas, which had previously been united to the North American confederacy by international contract, after the independence of Texas had been recognized by foreign nations and maintained by its own people. The states of the Mexican Republic and its territories are, consequently, under the existing constitution, the following: STATES. 1. Coahuila. 2. Tamaulipas. 3. Vera Cruz. 4. Tabasco. 5. Yucatan. 6. Chiapas. 7. Oajaca. 8. Puebla. 9. Mexico, with the Federal District. 10. Michoacan. 11. Jalisco. 12. Sonora. 13. Sinaloa. 14. Chihuahua. 15. Durango. 16. New Leon. 17. Zacatecas. 18. San Luis Potosi. 19. Guanajuato. 20. Queretaro. 21. Guerrero. TERRITORIES. 1. Lower California. 2. Colima. 3. Tlascala. RIVERS AND LAKES OF MEXICO. I. ON THE EASTERN COASTS. 1st. The RIO GRANDE DEL NORTE, or RIO BRAVO, which is the largest of all Mexican streams, and rises, in about 40-1/2° north latitude, and 100° west longitude, from Paris, in the lofty sierras which are a continuation of the gigantic chain that forms the spine of our continent. It pursues a southeasterly direction towards the Gulf of Mexico, and traverses a distance of nearly eighteen hundred miles. 2d. The RIO DEL TIGRE, rises in the state of Coahuila, and passes, in a southward and easterly direction, through the states of New Leon and Tamaulipas, and finally, after traversing about three hundred miles, debouches in the Gulf of Mexico. 3d. The RIO DE BORBON, or RIO BLANCO. The sources of this stream are in New Leon, whence it runs towards the east, and, crossing the state of Tamaulipas, falls in the LAGUNA MADRE. 4th. The RIO DE SANTANDER, rises in the state of Zacatecas, crosses the state of San Luis Potosi, passes by Tamaulipas, winds to the north, and falls, near the bar of Santander, into the Gulf.