### Some articles on *dimensional space, space, dimensional*:

Flat (geometry)

... In geometry, a flat is a subset of n-

... In geometry, a flat is a subset of n-

**dimensional space**that is congruent to a Euclidean**space**of lower dimension ... The flats in two-**dimensional space**are points and lines, and the flats in three-**dimensional space**are points, lines, and planes ... In n-**dimensional space**, there are flats of every dimension from 0 to n – 1 ...Lie Sphere Geometry in Space and Higher Dimensions - General Theory

... The quadric parameterizes oriented (n – 1)-spheres in n-

... The quadric parameterizes oriented (n – 1)-spheres in n-

**dimensional space**, including hyperplanes and point spheres as limiting cases ... Note that Qn is an (n + 1)-**dimensional**manifold (spheres are parameterized by their center and radius) ... The**space**of contact elements is a (2n – 1)-**dimensional**contact manifold Z2n – 1 in terms of the given choice of point spheres, these contact elements correspond to pairs consisting of a point in n-**dimensional**...Ludwig Schläfli - Higher Dimensions

... Around 1850 the general concept of Euclidean

... Around 1850 the general concept of Euclidean

**space**hadn't been developed — but linear equations in variables were well-understood ... interpretation analogous to the cartesian coordinates in three-**dimensional space**... vielfachen Kontinuität, in which he initiated the study of the linear geometry of -**dimensional space**...Geometric Calculus - Covariant Derivative

... A sufficiently smooth k-surface in an n-

... A sufficiently smooth k-surface in an n-

**dimensional space**is deemed a manifold ... Locally, B acts as a pseudoscalar of the k-**dimensional space**... as the geometric derivative is defined over the entire n-**dimensional space**, we may wish to define an intrinsic derivative, locally defined on the manifold If a is a vector tangent to the ...Line Coordinates - Lines in Three-

... Similarly, for two points in three-

**dimensional Space**... Similarly, for two points in three-

**dimensional space**(x1, y1, z1, w1) and (x2, y2, z2, w2), the line containing them is determined by the six determinants This is ... This system maps the**space**of lines in three-**dimensional space**to a projective**space**of dimension five, but with the additional requirement the**space**of lines is a manifold of dimension four ... More generally, the lines in n-**dimensional**projective**space**are determined by a system of n(n − 1)/2 homogeneous coordinates that satisfy a set of (n − 2)(n − 3)/2 ...### Famous quotes containing the words space and/or dimensional:

“... the movie woman’s world is designed to remind us that a woman may live in a mansion, an apartment, or a yurt, but it’s all the same thing because what she really lives in is the body of a woman, and that body is allowed to occupy *space* only according to the dictates of polite society.”

—Jeanine Basinger (b. 1936)

“I don’t see black people as victims even though we are exploited. Victims are flat, one- *dimensional* characters, someone rolled over by a steamroller so you have a cardboard person. We are far more resilient and more rounded than that. I will go on showing there’s more to us than our being victimized. Victims are dead.”

—Kristin Hunter (b. 1931)