Collection of Problems in Geometry: Stereometry
by Z. Ya. Kvasnikova, A. I. Pospelov, E. N. Yermolayeva & N. M. Kalitkin
Translated by Valery Manokhin, PhD
A graded problem book for the whole of solid geometry, in first faithful English translation from the original Russian edition: 838 problems in 33 sections, numbered in one run from first to last, with an answer section. It begins with the axioms of stereometry and the relative position of lines and planes, then works through parallel and orthogonal projection, dihedral and polyhedral angles, prisms, pyramids and truncated pyramids, the regular polyhedra, cylinders, cones and truncated cones, the sphere, solids of revolution, inscribed and circumscribed spheres, and a closing mixed section. Five sets of practical exercises call for measurement and models. 54 figures.
· 33 numbered articles· 838 exercises· 142 pages
Where this fits in school — US, UK and Canada ↓Adults and self-learners welcome — great mathematics has no age limit.
Where this fits in school
Full curriculum table — every book by school year →| United States | 10–12 | Geometry (solid) — problem companion |
|---|---|---|
| England | Years 11–13 | GCSE Higher → A-level; inscribed and circumscribed spheres exceed both |
| Canada (Ontario) | Ontario 10–12 | BC Geometry 12 |
Not covered in this book
coordinate geometry · transformations on a grid · vectors · 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 →Work through first
Covers much of the same ground
Rybkin's is shorter — 101 pages, 730 problems in 25 sections, 46 figures — and prints no answers, where this volume has an answer section. It has a section on the prismatoid and truncated prism that this one lacks, and no practical exercises or section on parallel projection.
These overlap heavily. Each note says what that book has which this one does not — the differences are what decide between them.
Problems to work alongside it
- Kiselev's Stereometry$49.95
Table of contents
The printed contents page in full.
Translator's Preface
Axioms of Stereometry. Relative Position of Lines. Angle between Two Skew Lines
Parallelism of a Line and a Plane
Parallelism of Planes
Parallel Projection
Perpendicularity of a Line and a Plane
Orthogonal Projections of a Point and a Line. Angle of a Line with a Plane
Dihedral Angles. Perpendicularity of Planes
Polyhedral Angles
Prism
Practical Exercises
Surface of a Prism
Volume of a Prism
Pyramid
Practical Exercises
Surface of a Pyramid
Volume of a Pyramid
Truncated Pyramid
Practical Exercises
Surface of a Truncated Pyramid
Volume of a Truncated Pyramid
Regular Polyhedra
Cylinder
Surface of a Cylinder
Volume of a Cylinder
Cone
Practical Exercises
Surface of a Cone
Volume of a Cone
Truncated Cone
Practical Exercises
Surface of a Truncated Cone
Volume of a Truncated Cone
Sphere
Surface of a Sphere
Volume of a Sphere
Solids of Revolution
Inscribed and Circumscribed Spheres
Mixed Section
Answers
Formats and editions
| Format | Price | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Paperback | $49.95 | 978-1-80910-032-0 | Amazon | Buy → |
| Hardcover | $74.95 | 978-1-80910-033-7 | Amazon | Buy → |
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
- Print length
- 142 pages
- First published
- 2026-11-03
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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