Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Synthetic_geometry> ?p ?o }
- Synthetic_geometry abstract "Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is the study of geometry without the use of coordinates. According to Felix Klein,Synthetic geometry is that which studies figures as such, without recourse to formulas, whereas analytic geometry consistently makes use of such formulas as can be written down after the adoption of an appropriate system of coordinates.A defining characteristic of synthetic geometry is the use of the axiomatic method to draw conclusions and solve problems, as opposed to analytic and algebraic geometries, where one would use analysis and algebraic techniques to obtain these geometric results.Euclidean geometry, as presented by Euclid, is the quintessential example of the use of the synthetic method. However, only after the introduction of coordinate methods was there a reason to introduce the term "synthetic geometry" to distinguish this approach to the subject. As a field of study, synthetic geometry was most prominent during the nineteenth century when some geometers rejected coordinate methods in establishing the foundations of projective geometry and non-Euclidean geometries.It was the favourite method of Sir Isaac Newton for the solution of geometric problems. It's said that the famous geometer Jakob Steiner hated analytic geometry, and always gave preference for synthetic methods.".
- Synthetic_geometry wikiPageID "267484".
- Synthetic_geometry wikiPageLength "12126".
- Synthetic_geometry wikiPageOutDegree "99".
- Synthetic_geometry wikiPageRevisionID "681438037".
- Synthetic_geometry wikiPageWikiLink Affine_geometry.
- Synthetic_geometry wikiPageWikiLink Affine_space.
- Synthetic_geometry wikiPageWikiLink Algebra.
- Synthetic_geometry wikiPageWikiLink Algebraic_geometry.
- Synthetic_geometry wikiPageWikiLink Analytic_geometry.
- Synthetic_geometry wikiPageWikiLink Angle_bisector_theorem.
- Synthetic_geometry wikiPageWikiLink Angle_of_parallelism.
- Synthetic_geometry wikiPageWikiLink Apollonius_theorem.
- Synthetic_geometry wikiPageWikiLink Associative_property.
- Synthetic_geometry wikiPageWikiLink Associativity.
- Synthetic_geometry wikiPageWikiLink Auxiliary_line.
- Synthetic_geometry wikiPageWikiLink Axiom.
- Synthetic_geometry wikiPageWikiLink Axiomatic_geometry.
- Synthetic_geometry wikiPageWikiLink Axiomatic_method.
- Synthetic_geometry wikiPageWikiLink Axiomatic_system.
- Synthetic_geometry wikiPageWikiLink Bolyai.
- Synthetic_geometry wikiPageWikiLink British_flag_theorem.
- Synthetic_geometry wikiPageWikiLink Butterfly_theorem.
- Synthetic_geometry wikiPageWikiLink Calculus.
- Synthetic_geometry wikiPageWikiLink Carl_Friedrich_Gauss.
- Synthetic_geometry wikiPageWikiLink Category:Geometry.
- Synthetic_geometry wikiPageWikiLink Category:Theorems_in_plane_geometry.
- Synthetic_geometry wikiPageWikiLink Cevas_theorem.
- Synthetic_geometry wikiPageWikiLink Commutative_property.
- Synthetic_geometry wikiPageWikiLink Commutativity.
- Synthetic_geometry wikiPageWikiLink Computational_geometry.
- Synthetic_geometry wikiPageWikiLink Configuration_(geometry).
- Synthetic_geometry wikiPageWikiLink Congruence_(geometry).
- Synthetic_geometry wikiPageWikiLink Coordinate-free.
- Synthetic_geometry wikiPageWikiLink Coordinate_system.
- Synthetic_geometry wikiPageWikiLink David_Hilbert.
- Synthetic_geometry wikiPageWikiLink Desargues_configuration.
- Synthetic_geometry wikiPageWikiLink Differentiable_manifold.
- Synthetic_geometry wikiPageWikiLink Discrete_geometry.
- Synthetic_geometry wikiPageWikiLink Elementary_proof.
- Synthetic_geometry wikiPageWikiLink Equal_incircles_theorem.
- Synthetic_geometry wikiPageWikiLink Erlangen_program.
- Synthetic_geometry wikiPageWikiLink Ernst_Kötter.
- Synthetic_geometry wikiPageWikiLink Euclid.
- Synthetic_geometry wikiPageWikiLink Euclidean_geometry.
- Synthetic_geometry wikiPageWikiLink Felix_Klein.
- Synthetic_geometry wikiPageWikiLink Foundations_of_geometry.
- Synthetic_geometry wikiPageWikiLink Free_variables_and_bound_variables.
- Synthetic_geometry wikiPageWikiLink Gaspard_Monge.
- Synthetic_geometry wikiPageWikiLink Gauss.
- Synthetic_geometry wikiPageWikiLink Geometric_configuration.
- Synthetic_geometry wikiPageWikiLink Geometric_mean_theorem.
- Synthetic_geometry wikiPageWikiLink Geometry.
- Synthetic_geometry wikiPageWikiLink Graph_theory.
- Synthetic_geometry wikiPageWikiLink Herons_formula.
- Synthetic_geometry wikiPageWikiLink Hilberts_axioms.
- Synthetic_geometry wikiPageWikiLink Hyperbolic_geometry.
- Synthetic_geometry wikiPageWikiLink Incidence_(geometry).
- Synthetic_geometry wikiPageWikiLink Incidence_geometry.
- Synthetic_geometry wikiPageWikiLink Inversive_geometry.
- Synthetic_geometry wikiPageWikiLink Isosceles_triangle_theorem.
- Synthetic_geometry wikiPageWikiLink Jakob_Steiner.
- Synthetic_geometry wikiPageWikiLink János_Bolyai.
- Synthetic_geometry wikiPageWikiLink Karl_Georg_Christian_von_Staudt.
- Synthetic_geometry wikiPageWikiLink Karl_von_Staudt.
- Synthetic_geometry wikiPageWikiLink Lambert_quadrilateral.
- Synthetic_geometry wikiPageWikiLink Law_of_cosines.
- Synthetic_geometry wikiPageWikiLink Linear_algebra.
- Synthetic_geometry wikiPageWikiLink List_of_geometers.
- Synthetic_geometry wikiPageWikiLink Lobachevski.
- Synthetic_geometry wikiPageWikiLink Ludwig_Immanuel_Magnus.
- Synthetic_geometry wikiPageWikiLink Mathematical_analysis.
- Synthetic_geometry wikiPageWikiLink Matroid.
- Synthetic_geometry wikiPageWikiLink Metric_geometry.
- Synthetic_geometry wikiPageWikiLink Metric_space.
- Synthetic_geometry wikiPageWikiLink Model_theory.
- Synthetic_geometry wikiPageWikiLink Monge.
- Synthetic_geometry wikiPageWikiLink Motion_(geometry).
- Synthetic_geometry wikiPageWikiLink Multiplicative_inverse.
- Synthetic_geometry wikiPageWikiLink Möbius_transformation.
- Synthetic_geometry wikiPageWikiLink Nikolai_Lobachevsky.
- Synthetic_geometry wikiPageWikiLink Non-Euclidean_geometry.
- Synthetic_geometry wikiPageWikiLink Parallel_(geometry).
- Synthetic_geometry wikiPageWikiLink Parallel_lines.
- Synthetic_geometry wikiPageWikiLink Poincaré_disc.
- Synthetic_geometry wikiPageWikiLink Poincaré_disk_model.
- Synthetic_geometry wikiPageWikiLink Pons_asinorum.
- Synthetic_geometry wikiPageWikiLink Primitive_notion.
- Synthetic_geometry wikiPageWikiLink Projective_geometry.
- Synthetic_geometry wikiPageWikiLink Projective_plane.
- Synthetic_geometry wikiPageWikiLink Ruth_Moufang.
- Synthetic_geometry wikiPageWikiLink Saccheri_quadrilateral.
- Synthetic_geometry wikiPageWikiLink Similarity_(geometry).
- Synthetic_geometry wikiPageWikiLink Spacetime.
- Synthetic_geometry wikiPageWikiLink Spherical_geometry.
- Synthetic_geometry wikiPageWikiLink Symmetry.
- Synthetic_geometry wikiPageWikiLink Synthetic_differential_geometry.
- Synthetic_geometry wikiPageWikiLink Tarskis_axioms.
- Synthetic_geometry wikiPageWikiLink Theorem.
- Synthetic_geometry wikiPageWikiLink Topology.