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Descriptive Geometry

With Worked Examples and Practical Exercises

This book is 100% completeLast updated on 2026-06-07
Ivan Polishchuk

The author of the textbook "Descriptive Geometry" is Polishchuk Ivan Igorovich. The textbook contains theoretical and practical material with examples of solving problems. The textbook is intended for students of higher educational institutions and teachers.

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About

About

About the Book

This book is dedicated to descriptive geometry. It will help you study a full course of descriptive geometry.

The book considers the main positional, metric and constructive problems of descriptive geometry. The material is presented in theoretical and practical form. The practical part of the material is supplemented with examples of solving problems. The book will be useful for students of higher educational institutions, teachers.

Main advantages:

1. A full course of descriptive geometry;

2. Practical examples;

3. Structured material;

4. Suitable for self-study.

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Higher EducationEngineering

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Author

About the Author

Ivan Polishchuk

Ivan Polishchuk is a mechanical engineer, educator, and author specializing in engineering sciences, technical drawing, computer-aided design, and vocational education.

He holds a Master's degree with honors in Industrial Machinery Engineering from Ternopil Ivan Puluj National Technical University. His professional experience includes engineering design in the furniture manufacturing industry, occupational safety engineering, and teaching engineering disciplines at vocational education institutions.

His areas of expertise include descriptive geometry, engineering graphics, technical mechanics, engineering calculations, CAD technologies (AutoCAD and SolidWorks), mathematical modeling, and technical research. He has authored educational materials, including the books "Descriptive Geometry" and "General Engineering", and has received awards in Ukrainian competitions for innovative educational resources and electronic learning materials.

Through his publications, he aims to make engineering knowledge accessible to students, teachers, and professionals by combining theoretical foundations with practical applications.

Contents

Table of Contents

Table of Contents

  1. Introduction
  2. Accepted Designations and Symbols
  3. Point and Line
    • Point Projections and Complex Drawings
    • Line Segment Projections
    • Position of a Point and a Line
    • Relative Position of Two Lines
    • Traces of a Straight Line
  4. Plane
    • Defining and Depicting a Plane
    • Types of Planes
    • Mutual Position of a Plane and a Point
    • Plane Traces
    • Main Lines of a Plane
    • Intersection of a Line and a Plane
    • Intersection of Two Planes
  5. Methods of Converting Projections
    • True Length Determination
    • Segment Rotation
    • Rotation of Plane Figures
    • Plane Parallel Displacement
    • Replacement of Projection Planes
    • Inclination Angles
    • Distances Between Geometric Objects
    • Projection of a Right Angle
    • Parallelism and Perpendicularity
  6. Curved Lines
  7. Curved Surfaces
  8. Intersection of Bodies of Revolution
    • Intersections by Straight Lines
    • Intersection of a Cone by a Projecting Plane
  9. Intersection of Surfaces of Geometric Bodies
  10. Mutual Intersection of Surfaces of Geometric Bodies
    • Secant Plane Method
    • Concentric Sphere Method
    • Monge's Theorem
  11. Practical Part
    • General Provisions
    • Graphic Work No. 1–8

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