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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This Elibron Classics book is a facsimile reprint of a 1906 edition by Carl Marhold, Halle. ... Read more

Product Description
This Elibron Classics book is a facsimile reprint of a 1907 edition by Carl Marhold, Halle. ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more

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The Möbius strip or Möbius band is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It is also a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858. The shape of the Möbius Strip probably dates to ancient times. An Alexandrian manuscript of early Alchemical diagrams contains an illustration with the visual proportions of the Möbius Strip. This image, on a page titled 'The Chrysopoeia of Cleopatra, has the appearance of an Ouroboros, and is referred to as the 'One, All'. A model can easily be created by taking a paper strip and giving it a half-twist, and then joining the ends of the strip together to form a loop. In Euclidean space there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise. The Möbius strip is therefore chiral, which is to say that it has "handedness" (as in right-handed or left-handed). ... Read more

Customer Reviews (1)

If you are good at maths, you will know that...
all this is MUCH CHEAPER ON KIKIPEDIA WHERE IT ALL CAME FROM.THE "BOOK" IS JUST WIKIPEDIA DOWNLOADS. ... Read more

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This Book Is In German. ... Read more

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Chapters: Carl Friedrich Gauss, Johannes Kepler, Friedrich Bessel, Johann Bayer, August Ferdinand Möbius, William Herschel, Johann Heinrich Lambert, Philipp Melanchthon, David Fabricius, Joseph Von Fraunhofer, Erasmus Reinhold, Georg Joachim Rheticus, Franz Xaver Von Zach, Johann Elert Bode, Regiomontanus, Karl Schwarzschild, Carl Wilhelm Wirtz, Georg Von Peuerbach, Nicolaus Copernicus, Freimut Börngen, Christoph Scheiner, Max Wolf, Nicholas of Kues, Karl Wilhelm Reinmuth, Johannes Hevelius, Bernhard Schmidt, Maria Cunitz, Lutz D. Schmadel, Maximilian Hell, Maria Margarethe Kirch, Struve Family, Erhard Etzlaub, Paul Wittich, Julius Bauschinger, Valentin Naboth, Princess Charlotte of Saxe-Meiningen, Friedrich Georg Wilhelm Von Struve, Johann Franz Encke, Johann Heinrich Von Mädler, Wolf Bickel, Petrus Apianus, Simon Marius, Peter Andreas Hansen, Albrecht Unsöld, Tobias Mayer, William Iv, Landgrave of Hesse-Kassel, Hermann Brück, Friedrich Wilhelm Argelander, Erhard Weigel, Walter Baade, Harald Lesch, Heinrich Wilhelm Matthäus Olbers, Nicolaus Reimers, Christoph Rothmann, Johannes Schöner, Matthias Bernegger, Franz Brünnow, Jakob Christmann, Bernhard Walther, Carl Gottlieb Ehler, Michael Maestlin, Christian Wursteisen, Viktor Knorre, Johann Gottfried Galle, Christopher Clavius, Johannes Stöffler, Johann Jacob Zimmermann, Helisaeus Roeslin, Johann Karl Burckhardt, Wilhelm Gliese, Heinrich Louis D'arrest, Hartmut Jahreiß, Wulff Dieter Heintz, Johann Hieronymus Schröter, Reinhard Genzel, David Gans, Paul Oswald Ahnert, Arthur Auwers, August Kopff, Philipp Nicodemus Frischlin, Johann Von Lamont, Herwart Von Hohenburg, Eduard Schönfeld, Hans-Emil Schuster, Johann Friedrich Julius Schmidt, Bruno Thüring, Heinrich Schwabe, Palm Heinrich Ludwig Von Boguslawski, Johannes Fabricius, Hermann Carl Vogel, Christian August Friedrich Peters, Georg Tannstetter, Rupert Wildt, Johannes Von Gmunden, Hermann Struve, Hans Moritz Von Brühl, Erwin F...More: http://booksllc.net/?id=323592 ... Read more

Product Description
This book an EXACT reproduction of the original book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This Book Is In German. ... Read more

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In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad ? bc ? 0. Möbius transformations are named in honor of August Ferdinand Möbius, although they are also called homographic transformations, linear fractional transformations, or fractional linear transformations. ... Read more

Product Description
This Book Is In German. ... Read more

Product Description
This Book Is In German. ... Read more

Product Description
This Book Is In German. ... Read more

Product Description
This Book Is In German. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This Elibron Classics book is a facsimile reprint of a 1907 edition by Carl Marhold, Halle. ... Read more