1. Geometry of a Part Surface

  1. Stephen P. Radzevich

Published Online: 21 JAN 2013

DOI: 10.1002/9781118522707.ch1

Geometry of Surfaces: A Practical Guide for Mechanical Engineers

Geometry of Surfaces: A Practical Guide for Mechanical Engineers

How to Cite

Radzevich, S. P. (2013) Geometry of a Part Surface, in Geometry of Surfaces: A Practical Guide for Mechanical Engineers, John Wiley & Sons Ltd, Oxford, UK. doi: 10.1002/9781118522707.ch1

Author Information

  1. Principal Gear Engineer, USA

Publication History

  1. Published Online: 21 JAN 2013
  2. Published Print: 4 JAN 2013

ISBN Information

Print ISBN: 9781118520314

Online ISBN: 9781118522707



  • analytical description;
  • classical differential geometry;
  • engineering geometry;
  • part surfaces;
  • surface local geometry elements;
  • surface representation


The number of different kinds of part surfaces approaches infinity. Planes, surfaces of revolution, cylinders of general type and screw surfaces of constant axial pitch can be found in the design of parts produced in industry. This chapter presents examples of part surfaces featuring simple geometry. Part surfaces of complex geometry are widely used in practice as well. The working surface of an impeller blade is a perfect example of a part surface having complex geometry. Part surfaces of this kind are commonly referred to as sculptured part surfaces or free-form part surfaces. The chapter illustrates the difference between classical differential geometry and engineering geometry of surfaces. It then proceeds with a more general consideration of the analytical representation of surfaces in engineering geometry. The chapter also talks about the natural kind of surface representation and finally outlines the main elements of surface local geometry.