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Aleksandrov's Geometric Problems: Construction Methods and Solutions

by I. I. Aleksandrov

Translated by Valery Manokhin, PhD

A course in geometric construction organised by the idea that solves the problem, not by topic: direct constructions, geometric loci, similarity, symmetry, parallel translation, inversion, rotation and algebraic methods. Every problem is treated through analysis, construction, proof and discussion.

Where this fits in school — US, UK and Canada ↓ Adults and self-learners welcome — great mathematics has no age limit.

United States10–12 +Outside every US course — organised by method, not by topic
United KingdomYears 11–13Outside GCSE, A-level and Further Maths alike
CanadaOntario 11–12contest training only

This book matches no modern course. It is worth reading for the mathematics; it will not put a mark on an exam paper.

Not covered in this book

coordinate geometry · statistics and data handling · probability

Source these strands elsewhere. They are missing from the book, not from this description.

How this book fits

See the whole sequence →

Problems to work alongside it

Table of contents

The printed contents page in full.

Section One: Basic problems and problems solved directly

Section Two: Analytical solution of construction problems

Method of Geometric Loci

Centre of Similitude; Similarity and Multiplication

Symmetry and Rectification

Parallel and Simple Translation

Inversion and Rotation

Section Three: Application of algebra to geometry

Section Four: Miscellaneous problems

Inverse Figures

Search the contents of every book →

Formats and editions

FormatPriceISBN-13WhereBuy
Kindle$49.95—AmazonBuy →
Paperback$44.95978-1-919012-64-3AmazonBuy →
Hardcover$69.95978-1-919012-65-0AmazonBuy →

Prices are the publisher list prices. Amazon sets the final price in each store.

Product details

Publisher
Northern Star Academic Press
Language
English
Translator
Valery Manokhin, PhD
First published
2026-08-31

Published by Northern Star Academic Press · First faithful English translation from the original Russian edition

Browse the full Russian Math Classics series on Amazon →

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Also by Valery Manokhin — Machine Learning & Forecasting books at

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