Excerpt from Introductory Modern Geometry of Point, Ray, and Circle, Vol. 1
D. Space is continuous. There are no gaps nor holes in it, where it would be impossible for a body to be. A body may move about in Space anywhere and everywhere, ever so much or ever so little. Space is itself simply where a body may be, and a body may be anywhere.
E. Space is triply extended, or has three dimensions. This important fact needs careful explication.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"Sinopsis" puede pertenecer a otra edición de este libro.
Excerpt from Introductory Modern Geometry of Point, Ray, and Circle, Vol. 1
D. Space is continuous. There are no gaps nor holes in it, where it would be impossible for a body to be. A body may move about in Space anywhere and everywhere, ever so much or ever so little. Space is itself simply where a body may be, and a body may be anywhere.
E. Space is triply extended, or has three dimensions. This important fact needs careful explication.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from Introductory Modern Geometry of Point, Ray, and Circle, Vol. 1
1. Geometry is the Doctrine of Space.
What is Space? On opening our eyes we see objects around us in endless number and variety: the book here, the table there, the tree yonder. This vision of a world outside of us is quite involuntary - we cannot prevent it, nor modify it in any way; it is called the Intuition (or Perception or Envisagement) of Space. Two objects precisely alike, as two copies of this book, so as to be indistinguishable in every other respect, yet are not the same, because they differ in place, in their positions in Space: the one is here, the other is not here, but there. In between and all about these objects that thus differ in place, there lies before us an apparently unoccupied region, where it seems that nothing is, but where anything might be. We may imagine or suppose all these objects to vanish or to fade away, but we cannot imagine this region, either where they were or where they were not, to vanish or to change in any way. This region, whether occupied or unoccupied, where all these objects are and where countless others might be, is called Space.
2. There are certain elementary facts, that is, facts that cannot be resolved into any simpler facts, about this Space, and these deserve special notice.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"Sobre este título" puede pertenecer a otra edición de este libro.
Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book is an introduction to the field of geometry, which is the mathematical study of space and form. After reading this book, you will have gained a solid understanding of geometry as it was understood by Ancient Greek thinkers like Euclid. The author begins with the basic concepts of points, lines, and angles. From there, it moves on to more advanced topics such as triangles, circles, and geometric constructions. The book is written in a clear, concise style that is accessible to students of all levels. Geometry is a fundamental mathematical discipline that has been studied for centuries, first formally defined in Euclid's Elements, which presented a logical and systematic exposition of the subject and laid the groundwork for much of modern Western mathematical thought. It is heavily used in architecture, engineering, art, and the sciences, aiding humanity's understanding of the world and its workings. The author shows that by understanding the simple geometric relationships between points, lines, and angles, the reader can learn to solve a wide range of problems in geometry that are otherwise mysterious or complex. Ultimately, the goal of this book is to help students develop the skills they need to think geometrically and to apply geometric principles to other areas of mathematics and the real 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. print-on-demand item. Nº de ref. del artículo: 9781330291412_0
Cantidad disponible: Más de 20 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330291412
Cantidad disponible: 15 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330291412
Cantidad disponible: 15 disponibles