A SYNOPSIS O F PRACTICAL MATHEMATICS. CONTAINING PLAIN TRIGONOMETRY; MENSURATION of WITH TABLES of the LOGARITHMS of NUMBERS, and of SINES and TANGENTS. For the ufe of Schools and Men of Business. By ALEXANDER EWING, SECOND EDITION. EDINBURG H: Printed for T. CADELL, LONDON,' M,DCC,LXXIX. 6908 W. 1. Butts math ta Bowes 2-4-37 33330 THE AUTHOR, at his houfe in Bishop's LandClofs, the first below Carrubber's Clofe, Edinburgh, teaches Arithmetic and Book-keeping, the Elements of Geometry, Conic Sections, Algebra, Plain and Spherical Trigonometry, Surveying of Land, Fortification, Gunnery, Geography, Aftronomy, Navigation, and Dialing, &c. As many, who have not time for learning Mathematics, chufe to understand Geography, he begins one Class of this kind about the ift of February, and another about the 1ft of June, every year. 04-9-6 Lately Published, Sold by CHARLES ELLIOT, and by the AUTHOR, Bishop's-Land-Clofs, Edinburgh, Price 2 s. neatly bound in Sheep, INSTITUTES OF ARITHMETIC, Wherein the rules are delivered in a clear and concife manner; and, under each rule, a fufficient number of unwrought examples, with their answers, defigned for the ufe of Schools and Academies; and which, upon trial, is found to facilitate the business of teaching, and shorten the time of learning this most necef fary part of education. M ATHEMATICS are ftudied either by gentlemen 1 of birth and fortune, as a neceffary part of genteel education, or by thofe in the middle rank of life, in order to qualify them for the employments or profeffions which they intend to follow. The views of thefe claffes are as different as their ftations. The gentleman, by ftudying a system of theory, and fuch of its applications as are neceffary in his other studies, may have all his ends anfwered. But the foldier, failor, engineer, furveyor, and man of bufinefs, cannot follow his profeffion rationally, without being expert in most parts of practical mathema tics. That this class may obtain their end in the most effectual manner, it is neceffary to throw the several parts to be learned into the shortest form. It is a great encouragement to proceed, when the end of the task is in view; nor is any thing more difcouraging to a beginner, than to be told, that the fcience he is about to learn fills many volumes. The apparent length of the labour fets proficiency at fo great a diftance, that half a lifetime seems too little to acquire it; and, if the natural defire of knowledge be nipt in the bud by fuch an idea, it will be difficult afterwards to make any one apply diligently to the study. But it is not enough to learn the feveral parts of practical mathematics at school; they must be remem bered, |