Models to Illustrate the Foundations of Mathematics
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In our eReader you can find the full English version of the book. Read Models to Illustrate the Foundations of Mathematics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Models to Illustrate the Foundations of Mathematics
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Thus, we are able to mark off points along a line as being at "equal" distances apart.
Measurement of different lines between two points shows that the four kinds of lines considered above have the property of being the shortest distance between two points.
Another experimentally observed property is that two such lines need not intersect at all, but, if they do intersect, they cannot intersect at more than one point.
Measurement of lines suggests the following, among other ways, of arriving at... a duplex of points : Suppose points are taken at equal distances apart on a line of the kind described above, and that through each point passes another line of the same kind. This can be illustrated by rods attached at equal intervals, but not rigidly, to a rod which connects them. Suppose, too, that points at the same selected distance apart are taken on the cross lines beginning from the points of intersection. Now, let the cross lines be such that the points on any two adjacent lines which are nearest to the connecting line are themselves at the selected distance apart.
What to read after Models to Illustrate the Foundations of Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by C Elliott to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Thus, we are able to mark off points along a line as being at "equal" distances apart.
Measurement of different lines between two points shows that the four kinds of lines considered above have the property of being the shortest distance between two points.
Another experimentally observed property is that two such lines need not intersect at all, but, if they do intersect, they cannot intersect at more than one point.
Measurement of lines suggests the following, among other ways, of arriving at... a duplex of points : Suppose points are taken at equal distances apart on a line of the kind described above, and that through each point passes another line of the same kind. This can be illustrated by rods attached at equal intervals, but not rigidly, to a rod which connects them. Suppose, too, that points at the same selected distance apart are taken on the cross lines beginning from the points of intersection. Now, let the cross lines be such that the points on any two adjacent lines which are nearest to the connecting line are themselves at the selected distance apart.
What to read after Models to Illustrate the Foundations of Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by C Elliott to read onlineMoreLess
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