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Advanced Euclidean Geometry (Dover Books on Mathematics)
Product Description This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and looking at in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises. 1929 edition. Reader Reviews Recently Dover has reissued two classics on Euclidean geometry, College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (Dover Books on Mathematics) and this book by Johnson. Both books were originally issued in the first half of the 20th century and both were aimed at a college level audience. Both of them also have a considerable amount of so called triangle geometry. As triangle geometry has seen a large upsurge the last years there is certainly a need for an English book that gives an overview of the subject. These books are useful in this respect but are out of date. Until a modern treatment of the subject (The Triangle Book by Conway and Sigur for instance, but when when ... ?) will be available, these two books and the resources on the www will have to do. Altshiller Courts' book has a great set of exercises that can be used as a training ground for geometric problem solving. The problems in Johnsons' book mostly ask for proofs of theorems that are ommited in the text (that's why I give 4 stars). If you are interested in the subject, buy both, its certainly value for money. The book assumes that you are familiar with simple geometrical concepts like congruence of triangles, parallelograms, circles and the most elementary theorems and constructions as can be found in Kiselev's book Kiselev's Geometry / Book I. Planimetry. Comment | | (Report this)
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