Linked from

The 137 pages that link to Euclidean geometry, each with the reason it gives.

• Linear perspectiveNarrower topic: Perspective constructions use geometric relations among the viewer, scene, and image plane.

• TriangleNarrower topic: The familiar 180-degree angle sum follows from the parallel postulate of this geometry.

• Euclid's ElementsNarrower topic: The treatise's geometric books became the classical foundation of this subject.

• Coordinate geometryNarrower topic: Coordinate geometry is one method for studying the familiar geometry of Euclidean space.

• Law of cosinesNarrower topic: The familiar law assumes the flat geometry that spherical versions modify.

• TrigonometryNarrower topic: Classical triangle trigonometry is formulated within Euclidean geometry.

• CircumcenterNarrower topic: The usual circumcenter construction relies on Euclidean distance and perpendicularity.

• Synthetic geometryNarrower topic: Synthetic geometry is most often practiced within Euclidean geometry’s axiomatic framework.

• Inscribed angle theoremNarrower topic: The theorem is proved within the standard geometry of the plane.

• Perpendicular bisectorNarrower topic: The familiar midpoint, angle, and distance properties assume this geometric setting.

• Plane (geometry)Narrower topic: The plane is the central setting for ordinary Euclidean geometry.

• Line segmentNarrower topic: Line segments are basic objects in the geometry of ordinary flat space.

• Parallel linesNarrower topic: Its parallel postulate makes the familiar constant-distance definition possible.

• Parallel postulateNarrower topic: The postulate distinguishes Euclidean geometry from geometries with different parallel behavior.

• Interior angleNarrower topic: Interior-angle theorems are standard results in Euclidean geometry.

• Triangle geometryNarrower topic: Most classical triangle centers and circle theorems assume this geometry.

• Vector graphicsNarrower topic: Vector illustrations use familiar geometric primitives and relationships.

• MidpointNarrower topic: The ordinary midpoint relies on Euclidean notions of segments and length.

• Perpendicular linesNarrower topic: The familiar four-right-angle definition applies within Euclidean geometry.

• RectangleNarrower topic: The usual rectangle properties hold in the Euclidean plane.

• Triangle areaNarrower topic: The familiar triangle-area formulas assume ordinary flat Euclidean geometry.

• Angle bisectorNarrower topic: Angle bisectors are defined and studied within this geometric system.

• Geometric constructionNarrower topic: Classical constructions developed within the geometric tradition formalized by Euclid.

• Angle trisectionNarrower topic: The classical trisection problem is posed within Euclidean geometric construction.

• Doubling the cubeNarrower topic: The original challenge belongs to the geometric tradition that defined its construction rules.

• Euclidean planeNarrower topic: The plane is the basic two-dimensional setting for this geometry.

• QuadrilateralNarrower topic: Standard quadrilateral angle and parallel-side properties assume a Euclidean plane.

• Piero della FrancescaNarrower topic: Piero’s mathematical investigations draw on the geometric principles established in this tradition.

• Right angleNarrower topic: Its familiar rules define right angles through perpendicular lines and equal quarter-turns.

• Geometric inequalityNarrower topic: Many classical inequalities compare lengths, angles, and areas in Euclidean figures.

• Point (geometry)Narrower topic: Its axioms describe how points relate to lines and planes.

• Angle bisector theoremNarrower topic: The familiar theorem and its standard parallel-line proof belong to Euclidean geometry.

• Circle packingNarrower topic: Ordinary circle tangency is defined using Euclidean distance.

• Constructible numberNarrower topic: Classical straightedge-and-compass constructions are formulated within this geometric setting.

• Miquel's theoremNarrower topic: Miquel's theorem is a classical incidence result in the Euclidean plane.

• Straightedge and compass constructionNarrower topic: The classical construction rules are formulated within this geometric framework.

• Geometric proofNarrower topic: Its postulates provide the familiar framework for many classical geometric proofs.

• Intersecting chords theoremNarrower topic: The theorem belongs to classical circle geometry in the Euclidean plane.

• Pappus of AlexandriaNarrower topic: Its propositions and constructions form much of the geometry surveyed in the Collection.

• Roman surveyingNarrower topic: Geometric constructions made right angles, parallels, and measured plots reproducible.

• Simson lineNarrower topic: The construction and its classical proof use perpendiculars, circles, and angle relations.

• Hilbert's axiomsNarrower topic: Hilbert's system formalizes this geometry while making its assumptions explicit.

• János BolyaiNarrower topic: Bolyai’s work departed from this geometric system by rejecting its parallel postulate.

• Hippocrates of ChiosNarrower topic: His area arguments belong to the geometric tradition later organized by Euclid.

• Ray (geometry)Narrower topic: Rays are standard objects in Euclidean constructions and proofs.

• TransversalNarrower topic: The standard transversal angle theorems are stated in Euclidean geometry.

• Skew linesNarrower topic: Its three-dimensional setting supplies the basic objects used to define skewness.

• Napoleon's theoremNarrower topic: The theorem is a classical result within the geometry of triangles and Euclidean constructions.

• Tangent–secant theoremNarrower topic: The theorem is a metric relation within classical plane geometry.

• Van Aubel's theoremNarrower topic: The theorem is a classical plane-geometric result built from squares and perpendicularity.