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PREFACE. I~ offering to the student a treatment of the Problem of the earth's rotation somewhat different from that whieh has been usually given in elementary text-books, a few words of explanation are necessal·y. The FJRST PART consists of an application of the method of the variation of clements to the general problem of rotation. That the fanTIuIal for calculating these clements are identical in the motions both of translation and rotation, appeared so remarkable, that it might be well to present the latter in a form easily accessible. .Af3 far as I a.m aware, an elementary investigation of these formulre bas not yet been given; in attempting to' supply this, I ha.ve_adopted a method somewhat similar to that which I have given for the correspouding equations of the motion of translation, in an Elementary Trreatise on the Planetary Theory. 1'he striking analogy, thus developed, between the solutions of problems, in appearance so dissimilar, may, I -hope, lead to a
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