EUCLIDEAN

Before
1: S
squared
2: SU
weighted, simple, standard, using
3: SUU
locally, minimum, usual
3: USU
extended
4: SUUU
ordinary
4: USUU
dimensional
After
1: S
norm, space, plane, length, group, sense, line, point, case, three
2: SU
metric, distance, axioms, spaces, vector, model, structure, action, system
3: SUU
distances, axioms
3: USU
dimension
4: USUU
geometry, coordinates
Surrounder Phrases
spacetime metric, manifold, continuum, geometry, coordinates, dimensions, points, structure, pointgeometric shapes, theorems, transformations, constructions, mean, shape, topology, forms, properties, representation, objects, transformation, models, dimensions, theorem, concepts, coordinates, average, construction, model, structure, style, elements, proof, object, form, approach, framework, standard, spacesgeometrical theorems, shapes, axioms, constructions, transformations, properties, shape, theorem, representation, dimensions, forms, construction, objects, proof, concepts, structure, transformation, models, method, model, methods, space, elements, form, theory, object, approach, definition, linesweighted average, graph, squared, mean, geometric, distanceslocally asymptotically, weighteddimensional spacetime, manifold, geometries, lattice, vector, space, reconstruction, geometry, shapes, continuum, spaces, coordinate, geometric, representation, coordinates, structure, objects, topology, models, geometrical, spatial, metric, plane, graph, model, quantum, shape, object, sphere, surface, constructions, motion, formulation, transformations, version, universe, domain, motions, framework, case, systemsgeneralized coordinates, coordinate, version, continuum, transformations, formulation, preferences, formflat spacetime, surface, plane, shapes, metric, universe, geometryinfinite dimensional, universe, geometric, lattice, distance, space, spaces, plane, distances, length, continuum, domain, dimensions, dimension, spherethreedimensional reconstruction, shapes, space, objects, structure, shape, representation, object, models, model, forms, surface, formasymptotically flat, approach, freecoordinate transformations, geometry, system, transformation, plane, systems, constructions, vector, graph, space, representation, spaces, formulationsquared distances, norm, distance, circleinner circle, circles, surface, sphere, transformation, space, sense, spacesmean squared, vectorstraight line, lines, pathspatial coordinates, dimension, dimensions, coordinate, domain, representation, transformations, metrics, structure, continuum, distances, constructions, concepts, geometry, metric, properties, division, models, objects, framework, distance, transformationthree dimensional, dimensions, axiomsquantum theory, field, algorithm, geometry, systems, universelattice vector, points, plane, structure, geometry, models, model, point, dimensions, algorithm, theorymetric spaces, system, space, geometry, distances, dimensions, properties, measuretheory postulatesplane geometry, parallel, coordinates, lattice, coordinate, surface, motion, triangle, motionsnormalized coordinates, vector, distance, spatial, version, standard, mean, form, averagesimple geometries, geometric, geometrical, shapes, geometry, model, algorithm, method, models, tools, transformations, axiomvector spaces, space, field, norm, representation, shapes, corresponding, triangle, parallel, coordinates, geometry, lengthparallel lines, axiom, algorithm, constructions, universe, coordinatesclassical tradition, style, theory, theorems, formulation, models, mathematics, model, geometry, approach, continuum, definition, conceptsreconstruction algorithmdistance metric, metrics, squared, vector, geometryrepresentation theorems, theoremgraph topology, transformation, transformations, representation, theory, correspondingpath length, algorithm, metrics, metricmodel postulates, formulationcircle graphaverage squared, length, weighted, distance, normalizedtopology graphmanifold forms, dimensions, universegeometry theoremconventional methods, norms, zoning, sense, method, forms, approach, quantum, onesline graph, shapes, parallelcontinuum models, model, theory, formulation, approachminimum distance, standard, squared, norm, length, distances, averagemotion vectorfamiliar objects, shapes, onestraditional methods, norms, forms, concepts, approach, metrics, zoning, method, stylespace coordinates, lattice, continuumtriangle theorem, shapes, shapeaxiom systems, systemgroup normsmeasure distancessurface geometries, topology, reconstruction, geometry, properties, structurestandard version, generalized, metric, methods, modeldimension style, line, linessmallest dimension, ones, circle, distance, distancesextended versioncorresponding normalized, points, vector, graphsystems theory, approachusual axioms, sense, method, style, methodsstyle preferencesapproach asymptoticallyobject constructions, modelfree path, space, surfacelength squaredordinary sense, objectsfield vector, theory, linesmathematics conceptsdomain model, structure, representationusing conventionalcoordinates correspondinglines parallelnorm groupreal sensesystem preferencesdivision algorithmalgorithm using