1st Edition

# Geometry of Construction: For Builders, Architects, Engineers

By T.B. Nichols, N.P. Keep Copyright 2010
240 Pages
by Routledge

Geometry of Construction has long been acknowledged as the most concise and instructive guide to the technical geometry of the construction industry, and a vital resource for students in architecture, carpentry, stonemasonry and engineering. Beginning with the very basics of technical drawing, it provides a series of increasingly complex exercises to clearly explain all that the reader needs to know about geometry. Each topic is covered with a detailed diagram and carefully written instructions, enabling the student to progress from basics such as the circle and construction of scales, to some of the most complex challenges including the entasis of a column, an ionic volute, the hemispherical dome and the setting out of barrel vaulting. The authors, T. B. Nichols and N. P. Keep, both worked extensively in the construction industry before moving into teaching, so they were ideally suited to produce this highly practical guide. First published in 1947, a revised edition, incorporating numerous suggestions from students and lecturers on Raking Sections, the Projection of Points, of Lines, and of Planes, the True Lengths of Lines, the Oblique Plane and on Roof Surfaces, was produced in 1954. Last published in 1966, it has been unobtainable since then. It remains one of the most useful books for any student in the construction industry.

Contents: Lettering for Working Drawings; Some Definitions; Bisectors and Perpendiculars; Angles by Bisection; Angles and Triangles; Construction of Triangles; Scale of Chords; Quadrilaterals and Parallel Lines; Construction of Quadrilaterals; Regular Polygons and their Construction; The Circle; The Construction of Scales; Enlargement by Squares; Orthographic Projection; Arrangement of Projections; Isometric Projection; Oblique Projection; Axonometric Projection; The Projections of a Circle; Orthographic Projection: an Example; Isometric Projection: an Example; Axonometric Projection: an Example; Oblique Projection: an Example; The Circle in Mouldings; Arch Curves; Mouldings; Tangents to Circles; Construction; Circles in Contact; Tangents to Circles: External and Internal; Inscribed Circles; Foiled Figures; Continuous Curves; Loci: Locus of Centres; Fret Patterns; Patterns Based on Squares; Patterns Based on Circles; Patterns in Circles; The Ellipse as a Plane Figure; The Parabola and Hyperbola; Conic Sections in Mouldings; Approximations to Ellipse; Areas; Calculation of Areas; Calculations of Volumes; Similitude; Entasis of Column; Spiral Curves; Ionic Volute; Geometrical Solids; Projections of Solids: Cube: Triangular Prism: Hexagonal Prism: Cylinder: Square Pyramid: Triangular Pyramid: Hexagonal Pyramid: Cone : Auxiliary Projection; Sections of Solids; The Ellipse as a Conic Section; Projection of Points; Projection of Lines; Projection of Planes; The Lengths of Lines; The Oblique Plane; Roof Surfaces; The Parabola as a Conic Section; The Hyperbola as a Conic Section; Cuttings of Sphere; Developments; Interpenetration; Intersecting Mouldings; Pediment Mouldings; Tracery; Tracery Panels; Geometrical Tracery; Developments of Sphere; Hemispherical Dome; Barrel Vaulting; The Helix; Shadow Projection; Index

### Biography

T.B. Nichols, N.P. Keep