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Mistakes In Geometric Proofs ( Topics In Mathematics) by Ya. S. Dubnov

Book Information

TitleMistakes In Geometric Proofs ( Topics In Mathematics)
CreatorYa. S. Dubnov
Year1963
PPI300
Mediatypetexts
Subjectmathematics, soviet, topics in mathematics, high school, geometric proof, geometric reasoning, triangles, circles, diagrammatic reasoning, euclidean geometry, proofs and logic, fallacies, sophisms
Collectionmir-titles, additional_collections
Uploadermirtitles
Identifierdubnov-mistakes-in-geometric-proofs-topics-in-mathematics
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Description

This booklet presents examples of faulty geometric proofs, some of which illustrate mistakes in reasoning that a student might make, while others are classic sophisms,  Chapters 1 and 3 present these faulty proofs, and then Chapters 2 and 4 give comprehensive analyses of the mistakes. A background of high school geometry is presupposed, with trigonometry needed for some details.