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

Lie Sphere Geometry in Space and Higher Dimensions - General Theory

... Note that Qn is an (n + 1)-

... 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 ... The**space**Z2n – 1 is therefore isomorphic to the projectivized cotangent bundle of the n-sphere ...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 the basis for a system of ... 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**... 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 ...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 ...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 ...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**... the study of the linear geometry of -**dimensional space**...### Famous quotes containing the words space and/or dimensional:

“Even the most subjected person has moments of rage and resentment so intense that they respond, they act against. There is an inner uprising that leads to rebellion, however short- lived. It may be only momentary but it takes place. That *space* within oneself where resistance is possible remains.”

—bell hooks (b. c. 1955)

“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)

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