About: Problem of Apollonius

Property	Value
dbo:description	construir círculos que sean tangentes a tres círculos en un plano (es) ユーグリット幾何学において平面上に与えられた3つの円に接する円を描く問題 (ja) berühmtes Problem der antiken Geometrie (de) zadanie w geometrii okręgów (pl) grand problème de l'Antiquité grecque, il s'agit de trouver un cercle tangent à trois cercles donnés (fr) construcția unui cerc tangent la trei cercuri din plan date (ro) construct circles that are tangent to three given circles in a plane (en) задача на построение (ru) مسئله‌ای در هندسه (fa) 構造與平面中三個給定圓相切的圓 (zh)
dbo:thumbnail	wiki-commons:Special:FilePath/Apollonius_problem_typical_solution.svg?width=300
dbo:wikiPageExternalLink	http://www.ajur.uni.edu/v3n1/Gisch%20and%20Ribando.pdf%7C https://archive.org/details/penguindictionar0000well%7C https://archive.org/details/penguindictionar0000well/page/3 https://www.ams.org/featurecolumn/archive/kissing.html%7Cdate=March http://mathforum.org/library/drmath/view/51790.html%7Ctitle=Ask http://whistleralley.com/tangents/tangents.htm%7Ctitle= http://www.cut-the-knot.org/Curriculum/Geometry/ApolloniusSolution.shtml%7Ctitle=Apollonius'
dbo:wikiPageWikiLink	dbr:Angle_trisection dbr:Bilinear_form dbr:Quadratic_form dbr:Radical_axis dbr:Quadratic_formula dbr:Lie_sphere_geometry dbr:Ptolemy's_theorem dbr:Curvature dbr:Conic_section dbr:DVD dbr:Ellipse dbr:Focus_(geometry) dbr:Parabola dbr:Algebraic_equation dbr:Completing_the_square dbr:LORAN dbr:Möbius_transformation dbr:Tangent_lines_to_circles dbr:Ford_circle dbr:Pole_and_polar dbr:Enumerative_geometry dbr:Intersection_theory dbr:Symmetry_in_mathematics dbr:Special_case dbr:Complex_projective_plane dbr:Bacteria dbc:Euclidean_plane_geometry dbc:History_of_geometry dbr:Number_theory dbr:Real_number dbr:Sphere dbr:Velocity dbr:Sophus_Lie dbr:Dot_product dbr:Jakob_Steiner dbr:Speed_of_sound dbr:Cardinality dbr:Hyperbola dbr:Law_of_cosines dbr:Kleinian_group dbc:Conformal_geometry dbr:Nicolas_Fuss dbr:Menaechmus dbr:Julius_Petersen dbr:Riemann–Hurwitz_formula dbr:Stereographic_projection dbr:Angle_bisector_theorem dbr:Casey's_theorem dbr:Steiner_chain dbr:Resultant dbr:Sides_of_an_equation dbr:Analytic_number_theory dbr:Pierre_de_Fermat dbr:Regiomontanus dbr:Transmission_medium dbr:Eccentricity_(mathematics) dbr:Frederick_Soddy dbr:Isaac_Newton dbr:Latin dbr:World_War_I dbr:Hypersphere dbr:Lazare_Carnot dbr:Complex_analysis dbr:Duality_(mathematics) dbr:Doubling_the_cube dbr:Pappus_of_Alexandria dbr:Circle_inversion dbr:Curve_orientation dbr:Decca_Navigator_System dbr:Hausdorff_dimension dbr:Inversive_geometry dbr:Participle dbr:Descartes'_theorem dbr:Point_at_infinity dbr:Carl_Friedrich_Gauss dbr:Enzyme dbr:Euclid dbr:Euclidean_geometry dbr:Leonhard_Euler dbr:René_Descartes dbr:Nature_(journal) dbr:Spherical_cap dbr:Apollonius_of_Perga dbr:Circumscribed_circle dbr:Adriaan_van_Roomen dbr:Cartesian_coordinate_system dbr:Circle dbr:Circles_of_Apollonius dbr:Euclidean_norm dbr:Power_of_a_point dbr:Quadratic_equation dbr:Fractal dbr:Linear_algebra dbr:Harold_Scott_MacDonald_Coxeter dbr:Tangent dbr:Taylor_series dbr:Isodynamic_point dbr:Reflection_(mathematics) dbr:François_Viète dbr:Trilateration dbr:Infinite_set dbr:Lemma_(mathematics) dbr:Philosophiæ_Naturalis_Principia_Mathematica dbr:Singular_point_of_a_curve dbr:Error-correcting_code dbr:Annulus_(mathematics) dbr:Sierpiński_triangle dbr:Euclidean_plane_isometry dbr:Bipolar_coordinates dbr:Special_cases_of_Apollonius'_problem dbr:Hans_Rademacher dbr:Branch_point dbr:John_Casey_(mathematician) dbr:Apollonius_point dbr:Euclid's_Elements dbr:Jean-Victor_Poncelet dbr:Algebraic_geometry dbr:Celestial_mechanics dbr:Apollonian_circles dbr:Complex_conjugate dbr:Charles_Dupin dbr:Quadric_surface dbr:Power_center_(geometry) dbr:File:Apollonian_gasket.svg dbr:Parallel_(geometry) dbc:Incidence_geometry dbr:Daniel_Pedoe dbr:Bézout's_theorem dbr:Riemann_sphere dbr:Homothetic_center dbr:Apollonian_gasket dbr:Projective_variety dbr:Reciprocation_(geometry) dbr:Regular_curve dbr:Augustin_Louis_Cauchy dbr:Multilateration dbr:Pencil_(mathematics) dbr:Distributivity dbr:Concentric dbr:Gottfried_Leibniz dbr:Perpendicular_bisector dbr:Limiting_case_(mathematics) dbr:Incircle_and_excircles_of_a_triangle dbr:Elizabeth_of_Bohemia dbr:Hardy–Littlewood_circle_method dbr:Isotropic dbr:Linearly_independent dbr:GPS dbr:Elisabeth_of_Bohemia,_Princess_Palatine dbr:Straightedge_and_compass dbr:Apollonius'_theorem dbr:Global_navigation_satellite_systems dbr:Packing_problem dbr:File:Inversion_illustration1.svg dbr:Joseph_Diaz_Gergonne dbr:File:Apollonius8ColorMultiplyV2.svg dbr:Bipolar_coordinate_system dbr:Birational_morphism dbr:Coordinate_rotation dbr:Lie_quadric dbr:File:Apollonius_circle_definition_labels.svg dbr:Descartes_theorem dbr:Ford_circles dbr:Higher_dimension dbr:Hyperbolic_positioning dbr:Intersection_multiplicity dbr:Inversion_in_a_circle dbr:Rectifiable_curve dbr:Antihomologous_point dbr:Compass_and_straightedge_construction dbr:Lost_works dbr:Pole_(geometry) dbr:Simultaneous_equation dbr:Transformation_(geometry) dbr:Translation_(mathematics) dbr:Transponder_(aviation) dbr:File:Apollonius_CCC_black.svg dbr:File:Apollonius_CCL_black.svg dbr:File:Apollonius_CCP_black.svg dbr:File:Apollonius_CLL_black.svg dbr:File:Apollonius_CLP_black.svg dbr:File:Apollonius_CPP_black.svg dbr:File:Apollonius_LLL_black.svg dbr:File:Apollonius_LLP_black.svg dbr:File:Apollonius_LPP_black.svg dbr:File:Apollonius_PPP_black.svg dbr:File:Apollonius_annulus2_no_eqs_black.svg dbr:File:Apollonius_annulus_no_eqs_black.svg dbr:File:Apollonius_hyperbolic_no_eqs_black.svg dbr:File:Apollonius_no_solutions_black.svg dbr:File:Apollonius_problem_Gergonne_poles.svg dbr:File:Apollonius_problem_Gergonne_tangent_lines.svg dbr:File:Apollonius_problem_radical_center.svg dbr:File:Apollonius_problem_typical_solution.svg dbr:File:Apollonius_solution_breathing_nolabels.gif dbr:File:DescartesCircles.svg dbr:Incidence_correspondence
dbp:wikiPageUsesTemplate	dbt:Greek_mathematics dbt:Col-float dbt:Cite_book dbt:Cite_web dbt:Main dbt:Commons dbt:Reflist dbt:Wikisource dbt:Wikisourcelang dbt:Math dbt:= dbt:Anchor dbt:Clear dbt:Cite_journal dbt:Featured_article dbt:Nbsp dbt:Isaac_Newton dbt:MathWorld dbt:Short_description
dct:subject	dbc:Euclidean_plane_geometry dbc:Greek_mathematics dbc:History_of_geometry dbc:Conformal_geometry dbc:Incidence_geometry
gold:hypernym	dbr:Tangent
rdfs:label	Problem of Apollonius (en) مسألة أبولونيوس (ar) Problema d'Apol·loni (ca) Apolloniova úloha (cs) Απολλώνιο πρόβλημα (el) Apollonisches Problem (de) Problema de Apolonio (es) Problème des contacts (fr) アポロニウスの問題 (ja) Problema di Apollonio (it) 아폴로니오스의 문제 (ko) Raakprobleem van Apollonius (nl) Problem Apoloniusza (pl) Problema de Apolónio (pt) Задача Аполлония (ru) Задача Аполлонія (uk) 阿波罗尼奥斯问题 (zh)
owl:sameAs	dbpedia-commons:Problem of Apollonius dbpedia-commons:Problem of Apollonius freebase:Problem of Apollonius yago-res:Problem of Apollonius wikidata:Problem of Apollonius dbpedia-it:Problem of Apollonius dbpedia-nl:Problem of Apollonius dbpedia-de:Problem of Apollonius dbpedia-fr:Problem of Apollonius dbpedia-zh:Problem of Apollonius dbpedia-ja:Problem of Apollonius dbpedia-pt:Problem of Apollonius dbpedia-he:Problem of Apollonius dbpedia-es:Problem of Apollonius dbpedia-fa:Problem of Apollonius dbpedia-ru:Problem of Apollonius dbpedia-pl:Problem of Apollonius dbpedia-ko:Problem of Apollonius dbpedia-el:Problem of Apollonius dbpedia-ca:Problem of Apollonius dbpedia-ar:Problem of Apollonius dbpedia-bn:Problem of Apollonius dbpedia-ckb:Problem of Apollonius dbpedia-cs:Problem of Apollonius dbpedia-fi:Problem of Apollonius dbpedia-sq:Problem of Apollonius dbpedia-uk:Problem of Apollonius dbpedia-global:Problem of Apollonius
prov:wasDerivedFrom	wikipedia-en:Problem_of_Apollonius?oldid=1286437033&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Apollonius_circle_definition_labels.svg wiki-commons:Special:FilePath/Apollonian_gasket.svg wiki-commons:Special:FilePath/Apollonius8ColorMultiplyV2.svg wiki-commons:Special:FilePath/Apollonius_CCC_black.svg wiki-commons:Special:FilePath/Apollonius_CCL_black.svg wiki-commons:Special:FilePath/Apollonius_CCP_black.svg wiki-commons:Special:FilePath/Apollonius_CLL_black.svg wiki-commons:Special:FilePath/Apollonius_CLP_black.svg wiki-commons:Special:FilePath/Apollonius_CPP_black.svg wiki-commons:Special:FilePath/Apollonius_LLL_black.svg wiki-commons:Special:FilePath/Apollonius_LLP_black.svg wiki-commons:Special:FilePath/Apollonius_LPP_black.svg wiki-commons:Special:FilePath/Apollonius_PPP_black.svg wiki-commons:Special:FilePath/Apollonius_annulus2_no_eqs_black.svg wiki-commons:Special:FilePath/Apollonius_annulus_no_eqs_black.svg wiki-commons:Special:FilePath/Apollonius_hyperbolic_no_eqs_black.svg wiki-commons:Special:FilePath/Apollonius_no_solutions_black.svg wiki-commons:Special:FilePath/Apollonius_problem_Gergonne_poles.svg wiki-commons:Special:FilePath/Apollonius_problem_Gergonne_tangent_lines.svg wiki-commons:Special:FilePath/Apollonius_problem_radical_center.svg wiki-commons:Special:FilePath/Apollonius_problem_typical_solution.svg wiki-commons:Special:FilePath/Apollonius_solution_breathing_nolabels.gif wiki-commons:Special:FilePath/DescartesCircles.svg wiki-commons:Special:FilePath/Inversion_illustration1.svg
foaf:isPrimaryTopicOf	wikipedia-en:Problem_of_Apollonius
is dbo:knownFor of	dbr:Apollonius_of_Perga
is dbo:wikiPageDisambiguates of	dbr:Apollonius
is dbo:wikiPageRedirects of	dbr:Problem_of_apollonius dbr:Four_coins_problem dbr:Apollonius'_problem dbr:Apollonius's_problem dbr:Apollonius_problem dbr:Appolonius'_problem
is dbo:wikiPageWikiLink of	dbr:List_of_circle_topics dbr:Lie_sphere_geometry dbr:Twin_circles dbr:Tangent_lines_to_circles dbr:Ford_circle dbr:Pole_and_polar dbr:Enumerative_geometry dbr:Nicolas_Fuss dbr:Steiner_chain dbr:Frederick_Soddy dbr:Theodor_Reye dbr:Benjamin_Alvord_(mathematician) dbr:Mathematics_and_the_Imagination dbr:Five_points_determine_a_conic dbr:Apollonius dbr:Descartes'_theorem dbr:Augustin-Louis_Cauchy dbr:Apollonius_of_Perga dbr:Adriaan_van_Roomen dbr:Mirror_symmetry_(string_theory) dbr:Circles_of_Apollonius dbr:Power_of_a_point dbr:François_Viète dbr:Special_cases_of_Apollonius'_problem dbr:Bankoff_circle dbr:Pseudo-range_multilateration dbr:Joseph_Diez_Gergonne dbr:Apollonian_network dbr:Sangaku dbr:Power_center_(geometry) dbr:Monge's_theorem dbr:Homothetic_center dbr:Tangent_circles dbr:List_of_eponyms_(A–K) dbr:A_Treatise_on_the_Circle_and_the_Sphere dbr:Incircle_and_excircles_of_a_triangle dbr:Problem_of_apollonius dbr:Four_coins_problem dbr:Apollonius'_problem dbr:Apollonius's_problem dbr:Apollonius_problem dbr:Appolonius'_problem
is foaf:primaryTopic of	wikipedia-en:Problem_of_Apollonius