An Elementary Course in Synthetic Projective Geometry

Published: 2005
Language: English
Wordcount: 34,366 / 116 pg
Flesch-Kincaid Reading Ease: 67.2
LoC Category: Q
Downloads: 4,529
Added to site: 2005.11.05
mnybks.net#: 11817
Genres: Science, Post-1930
Advertisement
Excerpt

to yield geometric ones, and vice versa. In geometry we get at the properties of the conic sections by means of the properties of the straight line, and cubic surfaces are studied by means of the plane.


[Figure 1]

FIG. 1

[Figure 2]

FIG. 2

*4. One-to-one correspondence and enumeration.* If a one-to-one correspondence has been set up between the objects of one set and the objects of another set, then the inference may usually be drawn that they have the same number of elements. If, however, there is an infinite number of individuals in each of the two sets, the notion of counting is necessarily ruled out. It may be possible, nevertheless, to set up a one-to-one correspondence between the elements of two sets even when the number is infinite. Thus, it is easy to set up such a correspondence between the points of a line an inch long and the points of a line two

Reviews

Add a review for this title.
Average Rating of 1 from 1 reviews: *
2012.04.19
Russell Glenn
*....

Unfortunately none of the figures listed, images which are crucial to understanding the geometrical concepts, are included here. Hence, this version is a waste of time...


Cover image for

Download


show mobile phone QR code

Donate a small amount via Paypal below or read about some other ways that you can support ManyBooks.