Episodes in nineteenth and twentieth century Euclidean geometry / / by Ross Honsberger

• Autore: Honsberger Ross <1929->
• Pubblicazione: Washington, DC, : Mathematical Association of America, 1995
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (x, 174 pages) : digital, PDF file(s)
• Disciplina: 516.2
• Soggetto topico: Geometry, Projective; Geometry
• Note generali: Includes index.
• Nota di bibliografia: Includes bibliographical references (p. [155]) and index.
• Nota di contenuto: Cleavers and splitters -- The orthocenter -- On triangles -- On quadrilaterals -- A property of triangles -- The Fuhrmann circle -- The symmedian point -- The Miquel theorem -- The Tucker circles -- The Brocard points -- The orthopole -- On Cevians -- The theorem of Menelaus.
• Sommario/riassunto: Euclidean geometry was worked out by Euclid and his predecessors more than 2300 years ago and is studied today mostly as a background to other branches of mathematics. In fact, however, as Professor Honsberger masterfully demonstrates, geometry in the style of Euclid is still alive and well. Mathematicians have again been studying the properties of geometric figures from a synthetic point of view and have discovered many new and unexpected results which Euclid himself never found. And since all of us have studied Euclidean geometry, at least the ancient version, this book is easily accessible. Exercises with their solutions are included in the book.
• Titolo autorizzato: Episodes in nineteenth and twentieth century Euclidean geometry
• ISBN: 0-88385-951-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910822037203321
• Lo trovi qui: Univ. Federico II