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In the language of statistics, Peirce is saying this:  That if the population of Frenchmen is a ''fair sample'' of the general population with regard to dentition, then the morphic equation <math>[\mathit{t}\mathrm{f}] = [\mathit{t}][\mathrm{f}],\!</math> whose transpose gives <math>[\mathit{t}] = [\mathit{t}\mathrm{f}]/[\mathrm{f}],\!</math> is every bit as true as the defining equation in this circumstance, namely, <math>[\mathit{t}] = [\mathit{t}\mathrm{m}]/[\mathrm{m}].\!</math>

In statistical terms, Peirce is saying this:  If the population of Frenchmen is a ''fair sample'' of the general population with regard to the factor of dentition, then the morphic equation:

 

| <math>[\mathit{t}\mathrm{f}] = [\mathit{t}][\mathrm{f}]\!</math>

 

whose transpose gives:

 

| <math>[\mathit{t}] = \frac{[\mathit{t}\mathrm{f}]}{[\mathrm{f}]}</math>

 

is every bit as true as the defining equation in this circumstance, namely:

 

| <math>[\mathit{t}] = \frac{[\mathit{t}\mathrm{m}]}{[\mathrm{m}]}.</math>

===Commentary Note 11.21===

===Commentary Note 11.21===