REMARKS ON THE FIGURES OF PLATE XLIV. 
WHERE THE FULL COSTO-VERTEBRAL ARCHETYPES EXIST IN SERIES THERE THE LAW OF METAMORPHOSIS HAS” 
NOT OPERATED, BUT ALL THE MINUS QUANTITIES OF SERIES ARE THE PRODUCTS OF THIS LAW. 
1 TERMISSION or discontinuity occurs by the subtraction from some region of a plus uniform serial 
line. This intermission, or gap, may, therefore, be graduated through all the infinite phases of 
subtraction. It may be one which shall scarcely be perceptible, for as much as it is only infinitesimal, 
or it may take place to such a degree as altogether to disconnect two regions of the same plus serial 
line. Between both these opposite extremes of intermission or hiatus, possible to occur by rule of 
metamorphosis upon the plus uniform series of costo-vertebral units, the mammalian serial axis of 
proportional quantities is created as a design and fitness ; and in order to give form to our ideas regarding 
the mode in which this creation has been planned, we shall express ourselves through the. medium of 
symbols or numerals. | 
The plus costo-vertebral quantity we regard as represented by the integer 9, all the minus or 
proportional quantities which hold serial order with the costo-vertebral plus unit are as parts of the 
like whole quantities ; and, therefore, may be represented by all the quantities contained in the integer 9. 
The plus series of costo-vertebral units, like the plus series of integers, or 9,9, 9, 9, 9, 9, 9, 9, 9, will 
represent plus uniformity. Intermission or hiatus is, for design and fitness, to interrupt the plus continuity 
of this series, and to this end nature is free to operate through a wide extent of choice. If fitness 
requires that the intermission in such plus series should be confined to the degradation ‘of one plus unit 
of the series, it may subtract from 9 each or all the quantities contained in 9. If, again, fitness demands 
the degradation of two or more of these plus units of series, nature is free to practise in her choice. 
She may metamorphose equal or unequal quantities from any one, or many, of the series of 9, 9,9, 9, 9, 
9, 9,9,95 and she is likewise free to operate upon few, or many, of those plus units, in various regions 
of the same series. If intermission is ordained to be slight and confined to one plus unit of series, it 
happens thus, 9, 9, 9,9, 8,9, 9, 9,9. If series is to intermit by a subtraction of the like quantity 
from many units, it takes place thus, 9, 9, 8, 8, 8, 8, 8,8, 9. 
9, 8, 9, 8, 9. 
If upon alternate plus units, thus, 9, 8, 9, 8, 
If complete intermission is to disconnect series, the result happens thus, 9,9, 9, 0, 0,0, 9, 9, 9. 
The finity of a plus series is caused by the same operation of subtraction, and may be drawn as 
9:8; 7, Oy be Ay 3, 2) 150. The caudal termination is thus produced by subtraction of quantity from 
one end of the plus serial costo-vertebral line. 
We have already seen that the human skeleton axis varies 
not only as to the number of units constituting its length, 
but varies also as to the number of units standing for each 
region of series. We, therefore, cannot say that the human 
skeleton axis invariably terminates at the thirty-second 
unit of series, neither can it be said that either the cervi- 
cal, thoracic, lumbar, sacral, or caudal region of series is 
produced invariably as to a fixed number of units. The 
quadrumanous species varies from itself in these same par- 
ticulars, and there can be little doubt that either fig. A, 
B, or C, would be found also to vary as to the number of 
serial units, taken in its whole length and in its regional 
parts. 
Figs. A, B, and C, produce the cervical and thoracic 
regions of series alike, as to the number of units consti- 
tuting each region, and they, in this respect, are devoloped 
