Synopsis
The New Royal Road To Geometry, And Familiar Introduction To The Mathematics.. By Thomas Malton is a didactic manual of practical geometry oriented toward construction, measurement, and technical drawing. Presented in a problem-based, Euclid-inspired style, it offers step-by-step constructions for polygons, circles, areas, and projections, with occasional demonstrations and corollaries that connect geometric methods to architecture, surveying, and mechanics. The work emphasizes accessible methods—the easiest and most practical constructions—while acknowledging where exact solutions give way to reasonable approximations. It covers regular polygons on a line, circle geometry, transformations and reductions, and the use of proportional reasoning, scales, and line-chord systems for precise measurement. A rich progression of problems, editorial notes, and appendices situates geometry within a two-part program of theory and applications, making it suitable for students, craftsmen, engineers, and draughtsmen who require dependable, real-world geometry. The volume reflects late-18th/early-19th-century reformulations of Euclid for practical use.
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