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The object of the paper is, in the first place, to simplify and extend the treatment of normal correlation as expounded by Francis Galton and Karl Pearson; and in the second place to obtain general formuIæ in the theory of error, and to apply them to questions which arise in relation to normal distributions and normal correlation. The method is, throughout, elementary, the use of the differential and integral calculus being avoided, though geometrical infinitesimals are to a certain extent employed.

On the geometrical treatment of the 'normal curve' of statistics, with especial reference to correlation and to the theory of error