These more advanced Mira exercises explore basic geometric concepts, then constructions, transformations and problem solving. Students must create, observe, and conjecture about constructions, as well as analyze the properties of familiar geometric figures.
Mel Friedman. Example: In Figure 7.18, which two of the following angles must have the same measure as ∠H? 9. (A) ∠I (D) ∠IKJ (B) ∠JLG (E) ∠HKL (C) ∠JLK Solution: The correct answers are (B) and (D). Since JL is a midsegment, ...
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd...
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
ISBN 1-85233-058-9 [15] Gray, Jeremy J., Ideas of Space: Euclidean, Non-Euclidean and Relativistic, Clarendon Press, ... ISBN 0-521-07638-2 [19] Rees, Elmer G., Notes on Geometry, Universitext, Springer-Verlag, Berlin, New York, 1983.
This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art.
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that ...
This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas.
Harold Jacobs’s Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text.
Heron was a prolific writer with a primary interest in the practical uses of mathematics and mechanics. He obtained the above formula in a purely geometric form (sometimes attributed to Archimedes). In the 2nd century A.D. Ptolemy, ...