It would be essential to exact working, that the mutual relations of the patterns should be taken into account; for example, suppose an arch to be found on the fore-finger of one brother and a nascent loop on that of the other; then, as these patterns are evidently related, their concurrence ought to be interpreted as showing some degree of resemblance. However, it was impossible to take cognizance of partial resemblances, the mutual relations of the patterns not having, as yet, been determined with adequate accuracy. The completed tabulations occupied three large sheets, one for each of the fingers, ruled crossways into fifty-three vertical columns for the A brothers, and fifty-three horizontal rows for the B brothers. Thus, if the register number of the pattern of A was 10, and that of B was 42, then a mark would be put in the square limited by the ninth and tenth horizontal lines, and by the forty-first and forty-second vertical ones. The marks were scattered sparsely over the sheet. Those in each square were then added up, and finally the numbers in each of the rows and in each of the columns were severally totalled. If the number of couplets had been much greater than they are, a test of the accuracy with which their patterns had been classed under the appropriate heads, would be found in the frequency with which the same patterns were registered in the corresponding finger of the A and B brothers. The A and B groups are strictly homogeneous, consequently the frequency of their patterns in corresponding fingers ought to be alike. The success with which this test has been fulfilled in the present case, is passably good, its exact degree being shown in the following paragraphs, where the numbers of entries under each head are arranged in as orderly a manner as the case admits, the smaller of the two numbers being the one that stands first, whether it was an A or a B. All instances in which there were at least five entries under either A or B, are included; the rest being disregarded. The result is as follows:-- I. Thirteen cases of more or less congruity between the number of A and B entries under the same head:--5-7; 5-7; 5-8; 6-8; 7-10; 8-9; 8-12; 9-12; 10-10; 11-13; 12-16; 14-18; 72-73. (This last refers to loops on the middle finger.) II. Six cases of more or less incongruity:--1-7; 6-12; 14-20; 14-22; 22-35; 39-50. The three Tables, XXIV., XXV., XXVI., contain the results of the tabulations and the deductions from them. TABLE XXIV. _Comparison of three Fingers of the Right Hand in 150 Fraternal Couplets._