The Fourth Dimension
The Fourth Dimension
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In our eReader you can find the full English version of the book. Read The Fourth Dimension 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 The Fourth Dimension
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The spaces with the equations ^'^R + f^'VR+ ^' ^R + '^''Tr + k =0, are parallel if and only if the vectors (X', fu, ', v', trr'), (X", /x", v", -sr") are collinear.
A plane has a pair of equations, the equations of a pair of spaces that include it, but there is no one pair of equations that can be regarded as canonical. Any two linear equations taken together re- present a plane unless the spaces which they represent individually are parallel.
For a line three equations are required, and three ...linear equations together represent a line unless two of them represent parallel spaces or represent spaces whose plane of intersection is parallel to the space represented by the third equation.
Ex. Xxix. The space through (3, - 1, 5, 1) with the vecspace discussed in Example xv (p. 19) has the equation 9(^-3) + 34(r;+l) + 41(C-5)+18(T-l) = 0, that is, 9^ + 347; + 41^ + 18r -216 = 0.
Ex. XXX. The intersection of a line with a space is calculated most readily if the line is given parametrically and the space by an equation.
What to read after The Fourth Dimension?
You can find similar books in the "Read Also" column, or choose other free books by Edward Hope Neville to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The spaces with the equations ^'^R + f^'VR+ ^' ^R + '^''Tr + k =0, are parallel if and only if the vectors (X', fu, ', v', trr'), (X", /x", v", -sr") are collinear.
A plane has a pair of equations, the equations of a pair of spaces that include it, but there is no one pair of equations that can be regarded as canonical. Any two linear equations taken together re- present a plane unless the spaces which they represent individually are parallel.
For a line three equations are required, and three ...linear equations together represent a line unless two of them represent parallel spaces or represent spaces whose plane of intersection is parallel to the space represented by the third equation.
Ex. Xxix. The space through (3, - 1, 5, 1) with the vecspace discussed in Example xv (p. 19) has the equation 9(^-3) + 34(r;+l) + 41(C-5)+18(T-l) = 0, that is, 9^ + 347; + 41^ + 18r -216 = 0.
Ex. XXX. The intersection of a line with a space is calculated most readily if the line is given parametrically and the space by an equation.
What to read after The Fourth Dimension?
You can find similar books in the "Read Also" column, or choose other free books by Edward Hope Neville to read onlineMoreLess
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