Introductory Modern Geometry of Point, Ray, and Circle, Vol. 1 (Classic Reprint) - Tapa blanda

Smith, William Benjamin

 
9781330291412: Introductory Modern Geometry of Point, Ray, and Circle, Vol. 1 (Classic Reprint)

Sinopsis

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.

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Reseña del editor

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.

Reseña del editor

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.

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