KnowraGeometric constructionLinked fromLinked fromThe 13 pages that link to Geometric construction, each with the reason it gives.All 13Broader topic 1Related 10Narrower topic 2Euclidean geometryRelated: Euclid presents many results as constructions permitted by his geometric rules.Euclid's ElementsBroader topic: Many propositions solve problems by constructing figures with an unmarked straightedge and compass.Synthetic geometryRelated: Constructed auxiliary points and lines expose relationships that a proof can use.Greek mathematicsRelated: Construction problems shaped what counted as an acceptable Greek geometric solution.Thales' theoremNarrower topic: A diameter and its circle construct points that yield right angles.Doubling the cubeRelated: The problem asks for a construction, not merely a numerical approximation.Descriptive geometryRelated: Descriptive geometry expresses spatial solutions as exact constructions in a drawing.Pappus of AlexandriaRelated: Construction problems are among the methods and problems treated in Pappus’s survey.Napoleon's theoremRelated: Erecting equilateral triangles on the sides is the theorem's defining construction.Feuerbach's theoremNarrower topic: The theorem identifies a precise point of tangency in a constructed triangle diagram.Intersecting secants theoremRelated: The theorem can determine missing lengths in constructed circle configurations.Six circles theoremRelated: The theorem predicts a final circle from a sequence of circle intersections.Reuschle's theoremRelated: Triangle centers and their associated circles are defined through constructions.