PRINTED FOR DESIGNED FOR THE USE OF THE OFFICERS AND CADETS, OF THE ROYAL MILITARY COLLEGE. By ISAAC DALBY, Professor of Mathematics in the said College, VOL. I. THE SECOND EDITION, LONDON: THE AUTHOR, BY W. GLENDINNING, THIS HIS Volume contains Arithmetic, Geometry, Plane Trigonometry, and Mensuration. As the Arithmetic is principally designed for those who are acquainted with the first rules, we have entered upon Fractions immediately after the division of whole numbers: this seems the order which naturally presents itself, because fractions result from the division of integers. The examples therefore in all the subsequent branches, are indiscriminately in whole numbers and fractions. A thorough knowledge of Fractions, with the proper management of the Rules of Proportion, will enable the student very readily to comprehend nearly all that is necessary to be acquired in Arithmetic: for most of the other branches, as Single Position, Fellowship, Barter, Rules of Exchange, Discount, and Interest, are only applications of the Rule of Three. We therefore abridge the usual number of heads, and give a greater variety of examples under that of Proportion. Simple and Compound Interest however, are made separate articles. But Permutations, Combinations, and Ailigation, with the exception of an example or two, are omitted; because nothing more than a partial and imperfect knowledge of those rules can be attained without the help of Algebra. A 2 |