Sign-In
Cart
Volume II: Basic Euclidean Geometry
Paperback
Series: A Course in Old and New Geometry, Book 2
Publisher: Franz Rothe
Published: Jul 29 2025
Pages: 280
Weight: 1.07
Height: 0.59 Width: 7.50 Depth: 9.25
Language: English
The present second volume starts with Euclidean geometry, and the text gets a more educational and even more elementary flavour.
Here I start with Thales theorem about the angle in a semicircle, and continue with Euclid's related theorems about angles in a circle.
The most simple parts of the Euclidean geometry are given in detail, as well as the later parts about similarity, and finally area in
Euclidean geometry with the theorem of Pythagoras and trigonometry, and the measurement of the circle.
Too, the lens equation from geometrical optics is treated.
In several sections is recalled the strictly modern view of the first volume, beginning with Hilbert's axioms from the Foundations of Geometry.
After some discussion of logic and axioms in general, we go on with a short section about incidence geometries in two dimensions.
The theorems from neutral geometry which have been proved in the first volume and are needed again, are cited.
The relation of analytic and synthetic geometry is treated on Hilbert's rigorous account.
Also from
Rothe, Franz
Old and New Topics in Geometry: Volume I: Projective, Neutral and Basic Euclidean Geometry
Rothe, Franz
Paperback
Old and New Topics in Geometry: Volume I: Projective, Neutral and Basic Euclidean Geometry
Rothe, Franz
Hardcover
Old and New Topics in Geometry: Volume II: Advanced Euclidean and Hyperbolic Geometry
Rothe, Franz
Paperback
Old and New Topics in Geometry: Volume II: Advanced Euclidean and Hyperbolic Geometry
Rothe, Franz
Hardcover
Also in
Geometry
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
The Little Book of Sacred Geometry: How to Harness the Power of Cosmic Patterns, Signs and Symbols
Carvel, Astrid
Paperback
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Wright, Susan
Expolog
Warren, Peggy
Other
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Paperback
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Golé, Christophe
Dumais, Jacques
Douady, Stéphane
Hardcover
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
Sacred Geometry (Conscious Guides): How to Use Cosmic Patterns to Power Up Your Life
Foster, Jemma
Paperback
Geometría Y Trigonometría Baldor 4a. Ed. / Baldor's Geometry and Trigonometry, 4th Edition
Baldor, Aurelio
Hardcover
Drawing Circle Images: How to Draw Artistic Symmetrical Images with a Ruler and Compass
Studio, Musigfi
Paperback
Drawing Geometric Solids: How to Draw Polyhedra from Platonic Solids to Star-Shaped Stellated Dodecahedrons
Design, Sympsionics
Paperback
Mathematics: Its Content, Methods and Meaning
Lavrent'ev, M. a.
Aleksandrov, A. D.
Kolmogorov, A. N.
Paperback
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Cox, David A.
Little, John
O'Shea, Donal
Hardcover
Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry
Cameron, Rich
Horvath, Joan
Paperback
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
Altshiller-Court, Nathan
Paperback
Geometry: 1001 Practice Problems for Dummies (+ Free Online Practice)
Ma, Allen
Kuang, Amber
Paperback
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Liberty's Grid: A Founding Father, a Mathematical Dreamland, and the Shaping of America
Alexander, Amir
Hardcover
Amazing Patterns: Adult Coloring Book, Stress Relieving Mandala Style Patterns
Adult Colouring Books
Adult Coloring Books
Coloring Books for Adults
Paperback
How to Do Good Mathematics: Differential Geometry, Global Topology, and the Wisdom of a Wolf Prize Laureate
Chern, Shiing-Shen
Hardcover
Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms
Efthymiou, Thanasis
Hardcover
The Fifth Postulate: How Unraveling a Two-Thousand-Year-Old Mystery Unraveled the Universe
Bardi, Jason Socrates
Hardcover
Introduction to the Geometrical Foundations of General Relativity: A Compendium of Tensor Calculus
Wichmann, Bernd
Paperback
A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra
MacLean, Kenneth J. M.
Hardcover
Functional and Harmonic Analysis: Weighted Lebesgue Spaces, Muckenhoupt Weights, Convexity and Bmo Spaces
Castillo, René Erlin
Ramos-Fernández, Julio César
Chaparro Gutiérrez, Héctor Camilo
Paperback