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TRANSACTION'S OF THE TEXAS ACADEMY OF SCIENCE. 
ings of the words square and cube. While the numerical meanings of 
these words took rise in true and proper geometrical applications of 
number, their double use has had, I believe, a distinct share in post- 
poning general recognition of number’s real nature. 
In conclusion, and as I have said already, I can find no practical ad- 
vantages and do find disadvantages in any alternative units, as compared 
with the square and cube; but the elucidation of our mensuration as one 
of various possible practices would result from a pedagogic use of other 
units, and incidentally attention would be called to many interesting 
and some elegant theorems. It is not necessary in such a paper to go 
into details, nor have I anything to offer which one would not find for 
himself were he to adopt the suggestion I have submitted. 
