Raykovsky's Elementary Foundations of Geometry
by Stepan Raykovsky
Translated by Valery Manokhin, PhD
A systematic course in plane and solid geometry, never before published in English. Definitions, axioms and postulates first; then 310 numbered articles building from the straight line to the sphere, each proposition proved and each construction carried out in full. Four divisions: straight lines in a plane, the line and the circle, measurement of plane figures, and the geometry of solids. All 157 figures reproduced from the five engraved plates.
· 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
Not sure this is the right first book? Start here →Full curriculum table — every book by school year →| United States | 9–12 | A primary source, not a course — see the note below |
|---|---|---|
| England | Years 10–13 | No qualification maps to it cleanly |
| Canada (Ontario) | Ontario 9–12 | historical reading |
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
exercises — this volume is exposition only · coordinate geometry · transformations on a grid · 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 →Covers much of the same ground
- Fuss's Geometry$44.95
Fuss's is the longer course — 166 pages, 460 numbered sections, 230 figures on nine plates — and adds a chapter on the transformation and division of figures and one on the five regular solids, neither of which this book has. Neither has exercise sets.
These overlap heavily. Each note says what that book has which this one does not — the differences are what decide between them.
Courses this goes with
- Davidov's Geometry$59.95
- Rashevsky's Geometry$54.95
Further reading
- Kiselev's Planimetry$59.95
- Kiselev's Stereometry$49.95
A historical text to read beside the course, not a substitute for it.
Table of contents
The printed contents page in full.
Translator's Preface
Author's Preface to the First Edition
Explanation of Signs and Meaning of Propositions Relating to Algebra
Preliminary Concepts
Section I. On the mutual relation of straight lines in a plane
On the equality of triangles
On perpendicular and oblique lines
On parallel lines
On the properties of the angles and sides of triangles
On parallelograms, rectangles, squares, and trapezoids
On similar polygons
Section II. On the relation of a straight line to a circular line in the same plane
On the properties of chords and tangents
On the properties of arcs and angles
On regular polygons inscribed in a circle and circumscribed about it, on the mutual relation of circular lines, and on the measurement of the area of a circle
Supplement
Section III. On the combination of planes with straight lines and planes
On straight lines perpendicular to a plane, and on planes mutually parallel and perpendicular
On the equality of polyhedral angles, pyramids, and prisms
On the measurement of the volume of parallelepipeds, prisms, and pyramids
On similar polyhedra
Section IV. On the cylinder, the cone, and the sphere
On the cylinder
On the cone
On the sphere
Formats and editions
| Format | List price (USD) | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Paperback | $39.95 | 978-1-80910-003-0 | Amazon | Buy → |
| Hardcover | $59.95 | 978-1-80910-004-7 | Amazon | Buy → |
List price: the US publisher list price in USD, shown for reference. Amazon sets its own price in each store — see the current price on Amazon. The Gumroad price is the price charged.
Product details
- Publisher
- Northern Star Academic Press
- Language
- English
- Translator
- Valery Manokhin, PhD
- Print length
- 112 pages
- First published
- 2026-09-13
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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