Very neatly written and delicately illustrated manuscript manual of applied mathematics for architects, builders, military engineers, surveyors and others, with headings including "mining", "fractions" (and logarithms), "profils" (discussing the construction of defensive walls), (military) "batteries", "trigonometry", "surveying", "protracting", "levelling", "to conduct water", "extraction of [mathematical] roots", "theory of walls", "counterforts" (butresses), "the theory of arches", "mensuration of vaults and arches", "theory of timber" (on the loading of beams, etc.), "mechanic powers" (levers, pulleys, screws, etc.), "mensuration" (of surfaces and solids), "Hadley's quadrant" (actually a reflecting octant of the modern sort, presented by Hadley in 1731), "architecture", and other topics. Many chapters include specific examples, often presented as problems for the reader to solve.
The many delicate and precisely drafted illustrations both illustrate and clarify the theories and problems in presented in the text, often including construction lines and/or measurements.
First leaf (with only the author's name and date) with a waterstain in the lower inside corner, but otherwise in very good condition. Binding neatly re-backed and with corners neatly restored. Delicately and precisely illustrated manuscript handbook of applied mathematics for architecture, military engineering, mining, etc.