Presents historic development of Euclidean geometry and the corresponding impact of the computer in the engineering practice
Describes how certain core geometric operations were being performed prior to the introduction of the computer
Includes a number of specialized construction commands frequently not available in CAD or GIS software
Illustrates geometric solutions of various constructions involving intersections, projections and tangencies
Features an extensive, multipage discussion on highway spirals is included
This book provides a multitude of geometric constructions usually encountered in civil engineering and surveying practice. A detailed geometric solution is provided to each construction as well as a step-by-step set of programming instructions for incorporation into a computing system. The volume is comprised of 12 chapters and appendices that may be grouped in three major parts: the first is intended for those who love geometry for its own sake and its evolution through the ages, in general, and, more specifically, with the introduction of the computer. The second section addresses geometric features used in the book and provides support procedures used by the constructions presented. The remaining chapters and the appendices contain the various constructions. The volume is ideal for engineering practitioners in civil and construction engineering and allied areas.
Topics
Algebraic Geometry
Building Construction, HVAC, Refrigeration
Appl. Mathematics / Computational Methods of Engineering
Author(s): Elias C. Tonias, Constantine N. Tonias
Edition: 1
Publisher: Springer
Year: 2016
Language: English
Pages: C,XXII,431
Tags: Algebraic Geometry; Building Construction; Appl.Mathematics/Computational Methods of Engineering
Front Matter....Pages i-xxii
Historic Synopsis....Pages 1-37
Basic Geometric Features....Pages 39-47
Support Procedures....Pages 49-74
Point and Line Features....Pages 75-94
Curve Features....Pages 95-123
Intersections....Pages 125-137
Tangencies....Pages 139-183
Compound and Reversed Curves....Pages 185-242
Spiral Transition Curves....Pages 243-302
Special Constructions....Pages 303-330
Vertical Parabolic Curves....Pages 331-377
Elliptic Features....Pages 379-392
Back Matter....Pages 393-431