The gauger's guide [electronic resource] : or, excise-officer instructed. Containing, I. A copious and ample Treatise of Decimal Arithmetic, wherein are many Things not commonly known, and adapted to the Business of Gauging. II. The Extraction of the Square or Cube-Root of whole or mixt Numbers, and of Vulgar and Decimal Fractions, with the Demonstration and Reason of the mysterious Process. III. The grand and principal Foundation of Gauging; the Mensuration of Superficies and Solids, regular and irregular, after the best Manner, aggreable to the subsequent Matter. IV. As a farther Introduction to the Knowledge of Gauging, here are, 1. The Way to find Proportions of and Mean Proportions between Numbers Arithmetical and Geometrical. 2. Tables of Beer, Ale, Wine and Malt-Measure, with the solid Inches therein. 3. Of Gauge-Points, their Calculation and Use. 4. The Reduction of Measures from one to another, several Ways. 5. Tables of Beer, Ale and Wine-Measure in any Number of solid Inches. V. The whole Art of Gauging. 1. Coppers and other open Vessels cylindrical or conical, right-lined or curved, with plain and easy Rules and Examples of inching the same. 2. The Gauging of Casks which lie with their Axis parallel to the Horizon, six or seven several Ways; and how to find the Usage or Content when part full, with a Table of the Areas of Segments of a Circle, the Use and Calculation thereof, and how to find the Usage or Content without such Table, in a new Way. 3. A new Method to find the Usage or Content of Liquor remaining in Cashs that stand on one End. with their Diameters parallel to the Horizon, and an Example of inching the same. 4. Tables of the Areas of Circles in Beer, Aleand Wine-Gallons, and their Use. VI. How to Gauge Malt in the Cistein, Couch and Floor. To all which is added, a supplement of the duties of excise. Tables I, and II, X, XI and XII, to be paid by common Brewers; III and IV. by Victuallers; V, and VI. for Malt; Vii. for Plate; Viii. for Soap; IX. for Candles and for Printed Linnen, with the Use of each; and how to calculate the Allowances in four of the six first, and three last Tables, viz. To common Brewers and Malsters. The most Copious Set of Tables, for the Duties of Excise, yet published. By E. Hatton, Philomath.