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THE object of the present publication, is to supply the students of the Edinburgh School of Arts, and those of similar Institutions, with a condensed yet comprehensive course of Mathematics. It will be readily acknowledged, by those who know any thing of Mathematical Science, that it, of all subjects whatever, can least be taught in the form of lecture. There is through the whole such a concatenation of dependent truths, that unless the Student secure these firmly as he proceeds, he will soon find himself in the same hopeless predicament, as if endeavouring to ascend an eminence by means of a ladder divested of steps. Nor would we insinuate from this, that the study of Mathematics is difficult ; on the contrary, we believe that none is more easy or better fitted for a rational mind. From a few axioms or intuitive truths, which are no sooner enunciated than believed, the Mathematician raises the most superb structure, from which he can contemplate, as with a telescope, the beauties of the scientific landscape. Treasures which lay hid before, are gradually opening to his view, and pressing themselves upon his acceptance. It is not with Mathematics, as with the other sciences, where one theory
MOST RESPECTFULLY DEDICATED
LEONARD HORNER, Esq. F.R. SS. L. & E.
FOUNDER AND SECRETARY
EDINBURGH SCHOOL OF ARTS,
HIS OBLIGED AND OBEDIENT SERVANT,