"Mr Hinton tries to explain the theory of the fourth dimension so that the ordinary reasoning mind can get a grasp of what metaphysical mathematicians mean by it. If he is not altogether successful, it is not from want of clearness on his part, but because the whole theory comes as such an absolute shock to all one's preconceived ideas" - The Bristol Times (quoted within the book).
This book was published in 1912. The author is attempting to communicate a very complex interweaving of philosophy and mathematics, and it is often difficult to follow his train of thought. However, it is hard to refute his idea of a four dimensional universe passing through and, in a way, creating our three dimensional one.
For sections 1-9, the reader attempted to describe the illustrations in the text, but as the pictures were getting more complex, a separate PDF file of illustrations was created, copied from the pages of the book. It can be downloaded from the catalog page on archive.org or via the link "Extracted illustrations of the book" on the left side below. (Summary by Peter Yeasley)
Главы (29)
1Preface; Chapter 1 - Four Dimensional Space
13:15
2Chapter 2 - The Analogy of a Plane World
21:06
3Chapter 3 - The Significance of a Fourth Dimensional Existence
15:40
4Chapter 4, part 1 - The First Chapter in the History of Four Space
21:23
5Chapter 4, part 2 - The First Chapter in the History of Four Space
19:00
6Chapter 5, part 1 - The Second Chapter in the History of Four Space
11:22
7Chapter 5, part 2 - The Second Chapter in the History of Four Space
19:16
8Chapter 5, part 3 - The Second Chapter in the History of Four Space
14:56
9Chapter 6, part 1 - The Higher World
17:04
10Chapter 6, part 2 - The Higher World
16:59
11Chapter 7 - The Evidence for a Fourth Dimension
18:16
12Chapter 8, part 1 - The Use of Four Dimensions in Thought
14:02
13Chapter 8, part 2 - The Use of Four Dimensions in Thought
13:50
14Chapter 8, part 3 - The Use of Four Dimensions in Thought
16:34
15Chapter 9, part 1 - Application to Kant's Theory of Experience
14:59
16Chapter 9, part 2 - Application to Kant's Theory of Experience
17:59
17Chapter 10, part 1 - A Four-Dimensional Figure
12:39
18Chapter 10, part 2 - A Four-Dimensional Figure
10:32
19Chapter 11, part 1 - Nomenclature and Analogies ...
16:34
20Chapter 11, part 2 - Nomenclature and Analogies ...
17:41
21Chapter 12 - The Simplest Four-Dimensional Solid
35:29
22Chapter 13, part 1 - Remarks on the Figures
26:42
23Chapter 13, part 2 - Remarks on the Figures
22:15
24Chapter 14, part 1 - A Recapitulation and Extension of the Physical Argument
27:15
25Chapter 14, part 2 - A Recapitulation and Extension of the Physical Argument
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