In this post, we will see the book from the series Little Mathematics Library titled *Geometrical Constructions With Compasses Only* by A. Kostovskii.

# About the book

This booklet is intended for a wide circle of readers. It should help teachers and pupils of senior classes of secondary schools to acquaint themselves in greater detail with geometrical constructions carried out by compasses alone. It can serve as a teaching aid in school mathematical clubs. The booklet can also be used by students of physical and mathematical departments of universities and teachers’ training colleges to deepen their knowledge of elementary mathematics.

The book was translated from the Russian by Janna Suslovich and was first published by Mir Publishers in 1986. There is a Topics in Mathematics version of this book too.

A big thank you to **@4evercla6** for this and two more books from LML series. See the comment in the LML taking stock post. We will see them in the next couple of posts.

Now only **The Euler Characteristic **by Yu. A. Shaskin remains from the list!

You can get the Little Mathematics Library version of the book here.

Topics in Mathematics version here.

Follow us on The Internet Archive: https://archive.org/details/@mirtitles

Follow Us On Twitter: https://twitter.com/MirTitles

Write to us: mirtitles@gmail.com

Fork us at GitLab: https://gitlab.com/mirtitles/

Add new entries to the detailed book catalog here.

# Contents

Preface 6

Introduction 7

**PART 1 **

**CONSTRUCTIONS WITH COMPASSES ALONE**

1. On the possibility of solving geometrical construction problems by means of compasses alone: the basic theorem 9

2. Solution of geometrical construction problems by means of compasses alone 19

3. Inversion and its principal properties 33

4. The application of the method of inversion to the geometry of compasses 37

**PART 2**

**GEOMETRIC CONSTRUCTIONS BY MEANS OF COMPASSES ALONE BUT WITH RESTRICTIONS**

5. Constructions by means of compasses alone with the opening of the legs restricted from above 46

6. Constructions by means of compasses alone with the angle restricted from below 63

7. Constructions using only compasses with constant opening of the legs 66

8. Constructions with compasses alone on condition that all circles pass through the same point 67

Appendices 76

Appendix 1 Symbols and Notations Used in the Book 76

Appendix 2 Proof for Problem 18 in the General Case 77

**References 79**

Pingback: Geometrical Constructions With Compasses Only (Little Mathematics Library) – Kostovskii — Mir Books | Chet Aero Marine

The first and second paragraphs of this entry do not belong to this book.

LikeLike

Thanks for pointing. Updated.

LikeLike