Projective Geometry (Classic Reprint)

L. Wayland Dowling

ISBN 10: 1451000693 / ISBN 13: 9781451000696

Editore: Forgotten Books, 2012

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Print on Demand. Journey through the realm of projective geometry, an intricate mathematical framework that transcends traditional Euclidean concepts. This book invites you to envision a world where points and lines form a harmonious dance, governed by principles that transcend our intuitive understanding of shapes and sizes. The author, a skilled guide, unravels the mysteries of duality, correlation, and perspective, revealing the hidden symmetries that connect seemingly disparate geometric figures. Dive into harmonic ranges and pencils, where points and rays align in captivating patterns, embodying the essence of mathematical beauty. This book unveils a world beyond the boundaries of ordinary geometry, expanding your perception of space and shape, offering a deeper appreciation for the intricacies that shape our visual world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Codice articolo 9781451000696_0

Dati bibliografici

• Titolo: Projective Geometry (Classic Reprint)
• Editore: Forgotten Books
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1451000693
• ISBN 13: 9781451000696
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Geometry

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Riassunto

The existence of ideal elements must be assumed (A rt. 7); and theD edekind postulate, or an equivalent, must be used in order to arrive at continuously protective forms. The treatment of theD edekind postulate for this purpose (A rt. 39) is confessedly meager, and many teachers may feel the need of expanding it, or indeed of restating it, as occasion seems to demand. No attempt has been made to introduce new or strange terms, the only exception, so far as the author is aware, is the use of the word confocal to indicate those elements of a double polarity which are the supports of coinciding involutions of conjugate elements (A rt. 159). While this book has grown out of lectures given to students preparing to teach geometry, the subject matter is by no means of interest to this class of students alone. The engineer and the artisan must of necessity become familiar with the elementary processes of projection and section, and these processes are the same whether they lead to properties of geometrical figures or to methods in mechanical drawing. The author takes this occasion to express his gratitude toP rofessor Thomas F. Holgate, now Acting President of Northwestern University, for inspiration and enthusiasm acquired under his instruction at Clark University; and also his indebtedness for many helpful suggestions during the preparation of the manuscript for this book. Especial acknowledgment is due toP rofessor Henry S. White, of Vassar College, who read the manuscript and whose kindly comments and criticisms have materially improved the book in a number of points. The author wishes also to express his thanks toP rofessor Charles S. Slichter, of the University of Wisconsin for his sympathetic interest during the preparation of the manuscript and for his aid in seeing the book through the press. L. WAYLAND BOWLING. UNIVERSITY OF WISCONSIN, June,
(Typographical errors above are due to OCR software and don't occur in the book.)

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