Titlebook: Geometry by Its History; Alexander Ostermann,Gerhard Wanner Textbook 2012 Springer-Verlag Berlin Heidelberg 2012 51-01, 51-03, 01-01.Eucli

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über ?reflektorische“ Erregungen (see the quotations). This theory turned mathematics upside down to such an extent that some books on “geometry” from the beginning of the 20th century (for example that of Schreier and Sperner) were written entirely in the language of vectors and matrices.

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978-3-642-44469-2Springer-Verlag Berlin Heidelberg 2012

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變形詞

Textbook 2012t Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in? geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. S

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Trigonometryrabic as- tronomers gave it the Arabic-Greek title al-μεγ′ιστη, and so the book became the Almagest , translated into Latin by Regiomontanus. It was the second scientific book to be printed (in 1496), after Euclid’s Elements (in 1482); see Fig.?5.1, left.

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Textbook 2012merged in the?19.th.century..Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike..

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Solutions to the Exercises, we present below our solutions to the exercises. This allows the readers to compare with their own solutions and to find the one or other idea for improvements. Whenever a reader finds a shorter or more elegant solution, the authors will be glad to include it in a future edition of this book.