MATHEMATICAL TABLES; CONTAINING THE LOGARITHMS OF NUMBERS, LOGARITHMIC SINES, TANGENTS, AND SECANTS, AND VARIOUS TABLES USEFUL IN BUSINESS; TO WHICH ARE PREFIXED, THE CONSTRUCTION AND USE OF THE TABLES, PLANE AND ALSO MENSURATION OF PLANE SURFACES AND OF SOLIDS. FOR THE USE OF SCHOOLS. By J. BROWN, MATHEMATICIAN. THE FIFTH EDITION, IMPROVED AND ENLARGED, BY THE REV. J. WALLACE, MINISTER OF ABBEY, ST. BATHANS; FORMERLY TEACHER OF MATHEMATICS, EDINBURGH. STIRLING & KENNEY, WHITTAKER, TREACHER, & ARNOT, LONDON. 1830. ADVERTISEMENT. THE additions and alterations which have been made in this fifth edition of Mr. BROWN's Logarithmic Tables, are intended to render the work a useful sequel to the treatises commonly employed in teaching the Elements of Geometry. For this purpose, it has been the object of the Editor to exhibit a succinct view of the construction of the Logarithmic and Trigonometrical Tables; and, by a proper selection of Examples, to illustrate the various practical rules which the speculative truths of Elementary Geometry furnish. To every example given in the work, the answer is annexed. J. W. March 1830. CONTENTS. Page Solution of Right-angled Spherical Triangles......... Of the Nature, Calculation, and Use of Logarithms....... Of the Nature and Calculation of Logarithmic Sines, Tangents, and Secants Explanation of the Tables of Logarithmic Sines, Tangents, and Secants.... Solution of Right-angled Plane Triangles..... Solution of Oblique-angled Triangles.. Mensuration of Heights and Distances... 90 Table of the Logarithms of Numbers, from 1 to 10,000... of Logarithmic Sines, Tangents, and Secants............... of Logarithmic Sines, Tangents, and Secants, to every point and Quar- of Difference of Latitude and Departure............................................................ of Rumbs, showing the Degrees, Minutes, &c., to every Point and Quarter-point of the Compass............. of Compound Interest and Annuities, at 3, 4, and 5 per cent., for 50 |