 | Sir Norman Lockyer - Electronic journals - 1870 - 684 pages
...the present exposition of some of the elementary principles of an abstract w-dimensional geometry. The science presents itself in two ways : as a legitimate extension of the ordinary two-and three-dimensional geometries; and as a need in these geometries and in analysis generally.... | |
 | John Michels (Journalist) - Science - 1883 - 874 pages
...determined by means of its co-ordinates, it is found possible to establish a system of n-dimensional geometry analogous in every respect to our two- and...serving to exhibit the relations of the variables. It is to be borne in mind that the space, whatever its dimensionality may be, must always be regarded... | |
 | John Michels (Journalist) - Science - 1883 - 880 pages
...determined by means of its co-ordinates, it is found possible to establish a system of n-dimensipnal geometry analogous in every respect to our two- and...serving to exhibit the relations of the variables. It is to be borne in mind that the space, whatever its dimensionality may be, must always be regarded... | |
 | Industrial arts - 1884 - 594 pages
...establish a system of n-dimensional geometry analogous in every respect to our two and three dimensional geometries, and to a very considerable extent serving to exhibit the relations of the variables. It is to be borne in mind that the space, whatever its dimensionality may be, must always be regarded... | |
 | American Mathematical Society - Mathematics - 1903 - 712 pages
...where speaking of the importance which abttract geometry, ie, of n dimensions, should have, he says : " The science presents itself in two ways, as a legitimate...need in these geometries and in analysis generally. " The same idea of the application of byperspaoe to infinite systems of plane curves (or of surfaces)... | |
 | Science - 1899 - 950 pages
...these pertain to Hyper-Space, and in that Bibliography I quoted Cayley as to its geometry as follows : "The science presents itself in two ways — as a legitimate extension of the ordinary twoand f/iree-dimensional geometries, and as a need in these geometries and in analysis generalry.... | |
 | William Bragg Ewald - Mathematics - 2005 - 696 pages
...determined by means of its coordinates, it is found possible to establish a system of n-dimensional geometry analogous in every respect to our two- and..."On Abstract Geometry" (1869), |413]: The science presems itself in two ways: as a legitimate extension of the ordinary twoand three-dimensional geometries,... | |
 | Pharmacy - 1884 - 1106 pages
...possible" to establish a system of n-dimensional geometry analogous in every respect to our two-and three-dimensional geometries, and to a very considerable...quote from my memoir ' On Abstract Geometry" (1869): "The science presents itself in two ways: as a legitimate extension of the ordinary twoand three-dimensional... | |
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... wish to regard any four or more magnitudes as the coordinates of a point in space of a corresponding number of dimensions. Starting with the hypothesis of such a space, and of points therein each determined by means of its coordinates, it is found... 