the coefficient of any odd power of

in (6.); but the general form is a little different for the coefficients of the odd powers, and not quite so convenient.

On examining (7.) and (8.), we perceive that, when these formulæ are isolated from (6.) whence they are derived, and considered in themselves separately and independently,

may be any whole number whatever; although when (7.) occurs as one of the

’s in (6.), it is obvious that

is then not arbitrary, but is always a certain function of the distance of that