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This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.
Otto Kretschmer was only in combat from September 1939 until March 1941 but was Germany's highest-scoring U-boat commander sinking 47 ships totaling 274,333 tons. This definitive work details his personal story and the political backdrop from his earliest days. Aged 17 he spent 8 months studying literature at Exeter University where he learned to speak English fluently. The following year, on 1 April 1930, he enlisted as an officer candidate in the Weimar Republic's small navy. After completing his officer training and time on the training ship Niobe he served aboard the light cruiser Emden. In December 1934 he was transferred to the light cruiser Köln, then in January 1936 made the move to...
pt. 1. List of patentees.--pt. 2. Index to subjects of inventions.
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