Revision #481 → #990 · back to history
addedAffine space (informal)116c6d1b1197
addedAffine subspace by translation99c355761cf3
addedAffine subspace as solution setfc9593e4095d
addedDimension of an affine spaced83c45c838c6
addedAffine line, plane, hyperplane6ca724e1bdef
addedAffine space as forgetting the origin1af0d2da3dc0
addedAffine combinationc835d074fc79
addedSet with affine structuredcf6adf8a700
addedAffine space (formal)39d718f1c58a
addedGroup action axioms4ecf81dea77c
addedSubtraction property88f4c9a97571
addedPrincipal homogeneous spacea4686b6d75cb
addedSubtraction of points7c2551d3ab38
addedWeyl's axioms059691d82330
addedParallelogram property68522abc3150
addedEquivalent definition via Weyl's axiomsb78146678534
addedAffine subspace66ce31af79e1
addedForm of affine subspaces6899afce222c
addedDirection and parallelism6a136c08b61c
addedGeneralized Playfair's axiom74550fb85a47
addedTranslation preserves parallelism60103a43dc89
addedParallel for nested directions6985772da69a
addedAffine mapfe750cd6ebab
addedAffine map determined by one pointee3a3faf9406
addedAffine transformation / endomorphism970e73a83bbe
addedTranslations as affine maps0c62ed38421a
addedLinear maps centred at an origindbd85207cbf5
addedDecomposition of affine map37125716c861
addedVector space as affine space3176d3034f99
addedOrigin choice induces isomorphism8badaf00686d
addedEuclidean spaces are affine spaces882ff7f17925
addedEuclidean space (modern)b10574c44e72
addedEuclidean space (synthetic, via equipollence)ec20650e2d6f
addedAffine property42024b447bb0
addedAffine property is transformation-invariant4873761c12e7
addedSum independent of origine687e5869b01
addedBarycenter / affine combination717ca544342c
addedNumber line7f3edc723254
addedTime as affine spacee813b0f0a7e5
addedSpace of energies8582c9bf8535
addedPhysical space7994c2420948
addedCoset of a subspace369fac89b307
addedLine not through origin4ba17b831ef3
addedSolution set of Tx = bd62820ca6630
addedSolutions of inhomogeneous ODEd960f6ae0345
addedSolution set of linear map equation2252182b024e
addedComplementary subspaces7144ac1051ec
addedSpace of connectionsf557d38411f6
addedAffine span7e750d92dc4f
addedAffine span as affine combinations50dc784db0ad
addedGenerating set446768fe0416
addedAffinely independent set4385f835b1b8
addedAffine basis34f4d0127df2
addedBases of finite-dimensional affine spaced1b0b3a1dc40
addedBarycentric coordinates0fb9e97e9b69
addedBarycentric coordinate isomorphismcfb26610a666
addedInfinite-dimensional case3cb7fd3b1045
addedAffine frame865ff3b3cd73
addedAffine coordinates256f0c86f19c
addedAffine coordinate system00a5ab730e6e
addedSystem of n coordinatesf6c41c23a51b
addedLower bound on number of coordinatesf1e6384b9652
addedCartesian coordinates9cc57e85c023
addedEquivalence of barycentric and affine coordinates8f234bf5c890
addedTriangle as affine basis27f53b51f2d9
addedBarycentric characterization of trianglef07a1154a0da
addedChange of barycentric basisb6162f4ba75c
addedChange of affine basis1868de115293
addedMatrix representation of affine transformation5c518b7e3952
addedImage of affine homomorphismc610f27c78dc
addedAffine homomorphism has no kernel02a5de5a8530
addedProjection parallel to a direction6e3658f27c9d
addedProjection is affine homomorphismef62867933cf
addedImage and fibers of projection2de73a1058c3
addedQuotient space605b31a392ac
addedQuotient is an affine spacec8c18bd109e6
addedFirst isomorphism theorem for affine spaces8f9b3129e1ab
addedCoxeter axiomatization0c4e547726b6
addedAffine plane axioms745c3f09491b
addedAffine spaces inside projective spacesae0214f78322
addedAffine group as subgroup of projective groupe67cf45433ca
addedAffine Möbius transformationscb940723ffaf
addedAffine varietyac989a1d1e7c
addedIsomorphism with coordinate space767a9a84a8f2
addedAffine spaces are affine varieties1806ca866a11
addedPolynomial functions form a k-algebra5d1adcd2bc8f
addedTotal degree filtration142e8d61561f
addedZariski topology7ab0ff242b62
addedZariski coarser than natural topology6fbc6e608387
addedInjection into spectrum8f70d8217c91
addedHomeomorphism onto imageaa0c4074845f
addedHilbert's Nullstellensatz6212b4afdd73
addedCohomology of affine space is trivial8fce3d145d1a
addedTrivial étale cohomologyfec083e944e9
addedQuillen–Suslin theorem89b0092e02d6