 |
|
| |
|
|
|
at Global Oneness Community.
Share your dreams and let others help you with the interpretation!
Dream Sharing Forum
|
|
Projective line - Homogeneous coordinates | | Projective line - Homogeneous coordinates: Encyclopedia II - Projective line - Homogeneous coordinates | | An arbitrary point in the projective line P1(K) may be given in homogeneous coordinates by a pair
[x1:x2]
of points in K which are not both zero. Two such pairs are equal if they differ by an overall (nonzero) factor λ:
[x1:x2] = [λx1:λx2].
The line K may be identified with the subset of < ...
See also:Projective line, Projective line - Homogeneous coordinates, Projective line - Examples, Projective line - Real projective line, Projective line - Complex projective line: the Riemann sphere, Projective line - For a finite field, Projective line - Symmetry group, Projective line - As algebraic curve | | | Projective line, Projective line - As algebraic curve, Projective line - Complex projective line: the Riemann sphere, Projective line - Examples, Projective line - For a finite field, Projective line - Homogeneous coordinates, Projective line - Real projective line, Projective line - Symmetry group | | |
| | | Projective line: Encyclopedia II - Projective line - Homogeneous coordinates
Projective line - Homogeneous coordinates
An arbitrary point in the projective line P1(K) may be given in homogeneous coordinates by a pair
[x1:x2]
of points in K which are not both zero. Two such pairs are equal if they differ by an overall (nonzero) factor λ:
[x1:x2] = [λx1:λx2].
The line K may be identified with the subset of P1(K) given by
This subset covers all points in P1(K) except one: the point at infinity, which may be given as
Other related archivesAlgebraic curves, Möbius transformations, Projective geometry, Riemann sphere, Riemann surfaces, Riemann-Hurwitz formula, algebraic closure, algebraic curve, algebraic geometry, algebraic variety, algebraically closed, birational geometry, circle, coefficients, compact, compact Riemann surface, complex analysis, complex manifold, complex plane, conic, cross-ratio, diametrically opposite, distinct, double point, extended real number line, field, field automorphisms, finite field, function field, genus, group action, group theory, homogeneous coordinates, homogeneous space, hyperelliptic curves, identifying, inversive ring geometry, mathematics, meromorphic functions, non-singular, point at infinity, projective linear group, projective space, ramification, ramified covers, rational functions, rational map, rational normal curve, rational variety, real numbers, sphere, subgroup, subspaces, transitive, twisted cubic, unit circle, vector space
 Adapted from the Wikipedia article "Homogeneous coordinates", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
|
|
|
More material related to Projective Line can be found here:
|
|
|
« Back
|
Search the Global Oneness web site |
|
|
|
|
|
Sneak-Peek of Global Oneness Community
Hi friend! The Global Oneness Community, the place for information and sharing about Oneness is not really launched yet (you will see there is still some clean up to do) ...but it is now open for a sneak-peek! And if you wish - please register and become one of the very first members to do so! Jonas
Forum Home,
Articles,
Photo Gallery,
Videos,
News,
Sitemap
...and much more!
|
