The Theory of the Imaginary in Geometry
Together with the Trigonometry of the Imaginary
Seiten
2010
Cambridge University Press (Verlag)
978-1-108-01310-9 (ISBN)
Cambridge University Press (Verlag)
978-1-108-01310-9 (ISBN)
John Leigh Smeathman Hatton (1865–1933) was a British educator and mathematician. First published in 1920, this book explores the relationship between imaginary and real non-Euclidean geometry through graphical representations of imaginaries. This volume provides insights into the type of geometry being researched at the time of publication.
John Leigh Smeathman Hatton (1865–1933) was a British mathematician and educator. He worked for 40 years at a pioneering educational project in East London that began as the People's Palace and eventually became Queen Mary College in the University of London. Hatton served as its Principal from 1908 to 1933. This book, published in 1920, explores the relationship between imaginary and real non-Euclidean geometry through graphical representations of imaginaries under a variety of conventions. This relationship is of importance as points with complex determining elements are present in both imaginary and real geometry. Hatton uses concepts including the use of co-ordinate methods to develop and illustrate this relationship, and concentrates on the idea that the only differences between real and imaginary points exist solely in relation to other points. This clearly written volume exemplifies the type of non-Euclidean geometry research current at the time of publication.
John Leigh Smeathman Hatton (1865–1933) was a British mathematician and educator. He worked for 40 years at a pioneering educational project in East London that began as the People's Palace and eventually became Queen Mary College in the University of London. Hatton served as its Principal from 1908 to 1933. This book, published in 1920, explores the relationship between imaginary and real non-Euclidean geometry through graphical representations of imaginaries under a variety of conventions. This relationship is of importance as points with complex determining elements are present in both imaginary and real geometry. Hatton uses concepts including the use of co-ordinate methods to develop and illustrate this relationship, and concentrates on the idea that the only differences between real and imaginary points exist solely in relation to other points. This clearly written volume exemplifies the type of non-Euclidean geometry research current at the time of publication.
fm.author_biographical_note1
Preface; 1. Imaginary points and lengths on real straight lines. Imaginary straight lines. Properties of semi-real figures; 2. The circle with a real branch. The conic with a real branch; 3. Angles between imaginary straight lines. Measurement of imaginary angles and of lengths on imaginary straight lines. Theorems connected with projection. 4. The general conic; 5. The imaginary conic; 6. Tracing of conics and straight lines; 7. The imaginary in space; Indexes.
Erscheint lt. Verlag | 2.9.2010 |
---|---|
Reihe/Serie | Cambridge Library Collection - Mathematics |
Zusatzinfo | Worked examples or Exercises |
Verlagsort | Cambridge |
Sprache | englisch |
Maße | 140 x 216 mm |
Gewicht | 300 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-108-01310-4 / 1108013104 |
ISBN-13 | 978-1-108-01310-9 / 9781108013109 |
Zustand | Neuware |
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