A Key To The Modern Sliding-Rule by William Flower is a comprehensive 18th-century manual describing sliding-rule instruments used by His Majesty's officers of customs and excise as well as instruments for general use by artisans. The work explains the construction and application of two main sliding rules, including the officer’s instrument and an artificer’s variant, and introduces an advanced system of radii, primes, and intermediates for rapid, accurate calculation of weights, areas, surfaces, and solids. It provides detailed instructions for setting up lines A, B, C, D, and E, transferring primes, and performing multiplication, division, and the Rule of Three across multiple lines. The volume is rich with tables of factors, divisors, gauge points, and practical guidance for gauging volumes, planar and solid figures, and even spherical trigonometry. In addition to core instruction, the preface and appendices discuss the instruments’ value, their use in various trades, and the author’s advocacy for their widespread adoption.
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