Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Similarity_(geometry)> ?p ?o }
- Similarity_(geometry) abstract "Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or shrinking), possibly with additional translation, rotation and reflection. This means that either object can be rescaled, repositioned, and reflected, so as to coincide precisely with the other object. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other. A modern and novel perspective of similarity is to consider geometrical objects similar if one appears congruent to the other when zoomed in or out at some level.For example, all circles are similar to each other, all squares are similar to each other, and all equilateral triangles are similar to each other. On the other hand, ellipses are not all similar to each other, rectangles are not all similar to each other, and isosceles triangles are not all similar to each other.If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. Corresponding sides of similar polygons are in proportion, and corresponding angles of similar polygons have the same measure.This article assumes that a scaling can have a scale factor of 1, so that all congruent shapes are also similar, but some school text books specifically exclude congruent triangles from their definition of similar triangles by insisting that the sizes must be different if the triangles are to qualify as similar.".
- Similarity_(geometry) thumbnail Similar-geometric-shapes.svg?width=300.
- Similarity_(geometry) wikiPageExternalLink similartriangles.html.
- Similarity_(geometry) wikiPageID "39377".
- Similarity_(geometry) wikiPageLength "17730".
- Similarity_(geometry) wikiPageOutDegree "87".
- Similarity_(geometry) wikiPageRevisionID "681793938".
- Similarity_(geometry) wikiPageWikiLink Affine_group.
- Similarity_(geometry) wikiPageWikiLink Affine_transformation.
- Similarity_(geometry) wikiPageWikiLink Altitude_(triangle).
- Similarity_(geometry) wikiPageWikiLink Area.
- Similarity_(geometry) wikiPageWikiLink Area_(geometry).
- Similarity_(geometry) wikiPageWikiLink Bijection.
- Similarity_(geometry) wikiPageWikiLink Birkhoffs_axioms.
- Similarity_(geometry) wikiPageWikiLink Category:Euclidean_geometry.
- Similarity_(geometry) wikiPageWikiLink Category:Triangles.
- Similarity_(geometry) wikiPageWikiLink Catenary.
- Similarity_(geometry) wikiPageWikiLink Cengage_Learning.
- Similarity_(geometry) wikiPageWikiLink Circle.
- Similarity_(geometry) wikiPageWikiLink Compass-and-straightedge_construction.
- Similarity_(geometry) wikiPageWikiLink Complex_plane.
- Similarity_(geometry) wikiPageWikiLink Congruence_(geometry).
- Similarity_(geometry) wikiPageWikiLink Corresponding_sides.
- Similarity_(geometry) wikiPageWikiLink Corresponding_sides_and_corresponding_angles.
- Similarity_(geometry) wikiPageWikiLink Distance.
- Similarity_(geometry) wikiPageWikiLink Eccentricity_(mathematics).
- Similarity_(geometry) wikiPageWikiLink Ellipse.
- Similarity_(geometry) wikiPageWikiLink Equilateral_triangle.
- Similarity_(geometry) wikiPageWikiLink Equilateral_triangles.
- Similarity_(geometry) wikiPageWikiLink Euclidean_distance.
- Similarity_(geometry) wikiPageWikiLink Euclidean_group.
- Similarity_(geometry) wikiPageWikiLink Euclidean_plane_isometry.
- Similarity_(geometry) wikiPageWikiLink Euclidean_space.
- Similarity_(geometry) wikiPageWikiLink Euclids_Fifth_Axiom.
- Similarity_(geometry) wikiPageWikiLink Exponential_function.
- Similarity_(geometry) wikiPageWikiLink Function_(mathematics).
- Similarity_(geometry) wikiPageWikiLink Geometry.
- Similarity_(geometry) wikiPageWikiLink George_David_Birkhoff.
- Similarity_(geometry) wikiPageWikiLink Group_(mathematics).
- Similarity_(geometry) wikiPageWikiLink H.S.M._Coxeter.
- Similarity_(geometry) wikiPageWikiLink Hamming_distance.
- Similarity_(geometry) wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Similarity_(geometry) wikiPageWikiLink Hausdorff_dimension.
- Similarity_(geometry) wikiPageWikiLink Hilberts_axioms.
- Similarity_(geometry) wikiPageWikiLink Homoeoid.
- Similarity_(geometry) wikiPageWikiLink Homothetic_transformation.
- Similarity_(geometry) wikiPageWikiLink Hyperbola.
- Similarity_(geometry) wikiPageWikiLink Hyperbolic_geometry.
- Similarity_(geometry) wikiPageWikiLink Hypotenuse.
- Similarity_(geometry) wikiPageWikiLink Inversive_geometry.
- Similarity_(geometry) wikiPageWikiLink Isosceles_triangle.
- Similarity_(geometry) wikiPageWikiLink Jaccard_index.
- Similarity_(geometry) wikiPageWikiLink John_Wiley_&_Sons.
- Similarity_(geometry) wikiPageWikiLink Lipschitz_continuity.
- Similarity_(geometry) wikiPageWikiLink Logarithm.
- Similarity_(geometry) wikiPageWikiLink Logarithmic_scale.
- Similarity_(geometry) wikiPageWikiLink Logarithmic_spiral.
- Similarity_(geometry) wikiPageWikiLink Measure_(mathematics).
- Similarity_(geometry) wikiPageWikiLink Metric_space.
- Similarity_(geometry) wikiPageWikiLink Nearest_neighbor_search.
- Similarity_(geometry) wikiPageWikiLink Normal_subgroup.
- Similarity_(geometry) wikiPageWikiLink Numerical_taxonomy.
- Similarity_(geometry) wikiPageWikiLink Packing_dimension.
- Similarity_(geometry) wikiPageWikiLink Parabola.
- Similarity_(geometry) wikiPageWikiLink Parallel_postulate.
- Similarity_(geometry) wikiPageWikiLink Polygon.
- Similarity_(geometry) wikiPageWikiLink Proportionality_(mathematics).
- Similarity_(geometry) wikiPageWikiLink Real_number.
- Similarity_(geometry) wikiPageWikiLink Rectangle.
- Similarity_(geometry) wikiPageWikiLink Rectangles.
- Similarity_(geometry) wikiPageWikiLink Reflection_(mathematics).
- Similarity_(geometry) wikiPageWikiLink Rhombus.
- Similarity_(geometry) wikiPageWikiLink Right_triangle.
- Similarity_(geometry) wikiPageWikiLink Rotation_(mathematics).
- Similarity_(geometry) wikiPageWikiLink Ruler_and_compass_construction.
- Similarity_(geometry) wikiPageWikiLink Scalar_(mathematics).
- Similarity_(geometry) wikiPageWikiLink Scaling_(geometry).
- Similarity_(geometry) wikiPageWikiLink Self-similarity.
- Similarity_(geometry) wikiPageWikiLink Semantic_similarity.
- Similarity_(geometry) wikiPageWikiLink Shape.
- Similarity_(geometry) wikiPageWikiLink Similarity_space.
- Similarity_(geometry) wikiPageWikiLink Solution_of_triangles.
- Similarity_(geometry) wikiPageWikiLink Square.
- Similarity_(geometry) wikiPageWikiLink Square_(geometry).
- Similarity_(geometry) wikiPageWikiLink Topology.
- Similarity_(geometry) wikiPageWikiLink Transitive_relation.
- Similarity_(geometry) wikiPageWikiLink Translation_(geometry).
- Similarity_(geometry) wikiPageWikiLink Translational_symmetry.
- Similarity_(geometry) wikiPageWikiLink Volume.
- Similarity_(geometry) wikiPageWikiLink Wadsworth_Publishing.
- Similarity_(geometry) wikiPageWikiLink File:Sierpinski_triangle_(blue).jpg.
- Similarity_(geometry) wikiPageWikiLink File:Similar-geometric-shapes.svg.
- Similarity_(geometry) wikiPageWikiLinkText "Geometric similarity".
- Similarity_(geometry) wikiPageWikiLinkText "Similarity (geometry)".
- Similarity_(geometry) wikiPageWikiLinkText "Similarity (geometry)#Similar triangles".
- Similarity_(geometry) wikiPageWikiLinkText "Similarity Analysis".
- Similarity_(geometry) wikiPageWikiLinkText "Similarity".
- Similarity_(geometry) wikiPageWikiLinkText "geometrical similarity".
- Similarity_(geometry) wikiPageWikiLinkText "geometrically similar".
- Similarity_(geometry) wikiPageWikiLinkText "making the same angle".