Kiselev's Stereometry
by A. P. Kiselev
Translated by Valery Manokhin, PhD
Kiselev's three-dimensional geometry text — the first complete English translation. Polyhedra, the five Platonic solids, cylinders, cones, the ball, and Cavalieri's principle.
· 112 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 | 9–11 | Geometry, solid strand (G-GMD) plus substantial enrichment |
|---|---|---|
| United Kingdom | Years 10–13 | GCSE Higher → A-level enrichment |
| Canada | Ontario 9–11 | measurement strands · BC Geometry 12 · QC Secondary III–V |
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
- Kiselev's Planimetry$59.95
Covers much of the same ground
- Elementary Geometry$69.95
One volume covering this and the plane geometry together — but without the orthogonal-projection chapter or the essay on the axioms of geometry.
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
What comes next
- Rashevsky's Trigonometry$39.95
Further reading
A historical text to read beside the course, not a substitute for it.
Table of contents
20 section headings — the printed contents page in full.
Translator's Preface
Preliminary Remarks
Lines and Planes9 sections
- Determination of the Position of a Plane
- Parallel Lines and Planes
- The Perpendicular and Oblique Lines to a Plane
- Dependence Between the Parallelism and Perpendicularity of Lines and Planes
- Construction Problems
- Dihedral Angles, the Angle of a Line with a Plane, the Angle of Two Skew Lines, Polyhedral Angles
- Polyhedral Angles
- Exercises
- Construction Problems
Orthogonal Projections of a Point, a Segment, and a Figure
Polyhedra7 sections
- Parallelepiped and Pyramid
- Exercises
- Volume of a Prism and a Pyramid
- Similarity of Polyhedra
- Notions of Regular Polyhedra
- Notions of the Symmetry of Spatial Figures
- Exercises
Round Solids3 sections
- Cylinder and Cone
- Sphere
- Exercises
Supplement1 section
- On the Axioms of Geometry
Table of Functions
Formats and editions
| Format | Price | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| $49.95 | — | Gumroad · Instant download | Buy → | |
| Paperback | $49.95 | 978-1-919012-03-2 | Amazon | Buy → |
| Hardcover | $74.95 | 978-1-919012-04-9 | 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
- 112 pages
- First published
- 2026-08-04
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
More in This Series
Kiselev's Arithmetic
by A. P. Kiselev
US grades 4–7 · UK Years 5–8
The foundational arithmetic textbook used in Russian schools for over a century. 6 parts, 214 sections. Whole numbers through proportional quantities, with mathematical proofs for every operation.
Kiselev's Algebra I
by A. P. Kiselev
US grades 7–9 · UK Years 8–10
6 chapters, 126 sections, 239 exercises. From relative numbers and polynomials through first-degree equations, powers, roots, and quadratics.
Kiselev's Algebra II
by A. P. Kiselev
US grades 9–12 · UK Years 10–13
12 chapters plus Supplements, 187 sections. Functions, quadratic systems, inequalities, logarithms, progressions, complex numbers, the binomial theorem, and continued fractions.