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NOTES.
[BK. II.

which have more than three sides, that is, "all such figures may be divided into triangles, as the square into two, the pentagon into three, the hexagon into four, &c.; and geometry has, since that age, reduced this to a special theorem."

Note 4, p. 73. Thus, the inquiry must, &c.] The conclusion here arrived at enforces the necessity of attention to individual existences, in order to ascertain what may be the distinction, if such there be, between Vital Principles; so that the question reverts to former speculations, whether or not there is but one Principle variously imparted, or whether rather, each genus of being has its own special cause of vitality and motion. It belongs, also, perhaps, to the same speculation, to ascertain why beings have been ranged in a series—why, that is, such manifold gradations of existence from man down to the zoophyte; unless, indeed, with other conditions of similar character, it is beyond the pale of human inquiry.

Note 5, p. 73. But to such as possess some one only of the faculties, &c.] It is far from easy to fix upon the exact equivalents of the original terms (λογισμὸς, διάνοια, φαντασία,) which have been here rendered by calculation, judg-
ment
and imagination; but the speculative intellect, (θεορητικὸς νοῦς) implies it may "be assumed" the human mind or understanding, which was said to be impassive, homogeneous, and distinct from all else. It might well, therefore, be regarded as foreign to an inquiry, the purport of which is to detect the animating principle