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CH. II.]
NOTES.
251

in itself, is not the same as the unit in relation—that is in combination. The conclusion is the close of a syllogism, and to be distinguished from description which proceeds from particulars, and from definition which is a summary derived from universals. The distinction between these terms is exemplified in the text by a geometrical figure— if we say that the "quadrature is that by which a rect-
angle with unequal sides is reduced to a square, this is a definition but a definition bordering on description, as it gives no account of how the operation is to be performed, or whether it can be performed at all;" and if we say that "the quadrature is the finding of a mean proportional, the definition partakes of the character of an explanation rather than a description;" for if there be found "a mean proportional between any two lines which make a rect-
angular figure, that proportional is the side of the required square."

Note 2, p. 64. We say . . . that the animate, &c.] Nu-
trition, or the faculty by which matter can identify other matter with itself and thereby develop and grow is the rudimental principle of life, and the distinction between living and inert matter; for inert unlike living matter, increases in bulk, not through its own agency but, only by the casual agglomeration of external particles. This was assumed to be the sole faculty of plants, as Touch was supposed to be the first and the only sense necessary to animal existence; but it may be questioned whether nutrition and Touch are ever thus found as isolated and