The paper which. I formerly wrote on the Rig-Veda was merely intended to lay down the general principles which guided the ancient Arranger of that venerable collection of poems. It was my good fortune to be the first to lay before scholars the following discoveries:—1. That the hymns of the Ṛig-Veda are arranged in the order of their diminishing length.2. That the First Maṇḍala differs from the rest, and that it possesses a special arrangement of its own.3. That Maṇḍalas II. to VII. are uniform in character.4. That the hymns of the Ninth Maṇḍala are manifestly arranged according to the metre and length of the hymns.5. That certain long hymns in the Ṛig-Veda can be resolved into short sets of verses.6. That the Tenth Maṇḍala consists of, at least, two collections, showing a distinct mark of cleavage between the 84th and 85th hymns.