Online Geometry

Circumcenter, Circumcircle, Circumradius of a triangle, Geometry, Theorems and Problems 4

 

Circumcenter/Circumcircle - Index 4

Circumcenter Index

Geometry Problem 892

Geometry Problem 892
Triangle, 60 degrees, Orthocenter, Circumcenter.

Geometry Problem 889

Geometry Problem 889
Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets.

Geometry Problem 874

Geometry Problem 874
Isosceles Triangle, Circumcircle, Circumcenter, Congruence.

van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points

Geometry Problem 847
van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points.

Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity

Geometry Problem 846
Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 845
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 844
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity

Geometry Problem 843
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 842
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 841
Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points

Geometry Problem 837
Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points.

Triangle, Circumcenter, Similarity

Geometry Problem 806
Triangle, Points on sides, Circumcenter, Similarity.

Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter

Geometry Problem 799
Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter.

Parallelogram, Secant Line, Tangent Circles, Triangle

Geometry Problem 798
Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle.

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.

Right Triangle, Altitude, Three Incircles, Circumradius

Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance.

Triangle, Two Altitudes, Circumcircle, Tangent, Parallel

Geometry Problem 774
Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel.

Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence

Geometry Problem 770
Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement.

Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence

Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence.

Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint

Geometry Problem 742.
Scalene Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint, Distance, Square, Metric Relations.

Triangle, Incenter, Circumcircle

Geometry Problem 741.
Scalene Triangle, Incenter, Circumcircle, Midpoint, Arc, Congruence.

Triangle, Orthocenter, Line Reflection, Concurrency

Geometry Problem 733.
Triangle, Orthocenter, Altitude, Reflection in a line, Circumcircle, Concurrency.

Triangle, Orthocenter, Circumcircle

Geometry Problem 729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular, Midpoint.

Triangle, Circle, Concurrency

Geometry Problem 728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency.

Triangle, 3 Circumcenters, Concyclic, Cyclic quadrilateral

Geometry Problem 706.
Triangle, Cevian, Three Circumcenters, Circumcircles, Concyclic Points, Cyclic quadrilateral.

Collinear points, Intersecting circles 

Geometry Problem 675.
Circumcircles, Intersecting Circles, Secant, 45 and 90 Degrees, Collinear Points.

Triangle, 60 Degrees

Geometry Problem 670.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Circumcircle Congruence.

Triangle, Circumcircle, Incenter

Geometry Problem 669.
Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map.

Triangle, 60 Degrees, Centers, Angles

Geometry Problem 664.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Circumcircle, Angles, Triangle centers.

Triangle Centers, Angles

Geometry Problem 662.
Triangle, Incenter, Circumcenter, Circumcircle, Orthocenter, Circle, Angle, Measurement.

Cyclic quadrilateral, Circumcenter, Concurrency

Geometry Problem 586.
Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency.

Triangle, Circumcircle

Geometry Problem 593.
Triangle, Circumcircle, Collinear Points.

Cyclic quadrilateral, Circumcenter, Concurrency

Problem 585.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Concurrency.

Cyclic quadrilateral, Circumcenter, Parallelogram

Problem 584.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelograms.

Quadrilateral, Circumcenters

Problem 583.
Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelogram, Octagon, Areas.

Triangle, Circumcircles, Circumcenters, Concyclic

Problem 548.
Triangle, Transversal, Four Circumcircles, Circumcenters, Concyclic Points, Similarity.

Triangle, Four circumcircles

Problem 547.
Triangle, Transversal, Four Circumcircles, Circumcircles, Concurrency.

Triangle, Circumcircle, Perpendicular Bisector

Problem 538.
Triangle, Perpendicular Bisector, Circumcircle, Midpoint.

Sawayama - Thebault Theorem

Problem 535.
Sawayama - Thebault's theorem: Triangle, Incircle, Circle, Circumcircle, Center, Tangent, Collinear.

Triangle, Area

Problem 532.
Triangle, Circumcircle, Equal Angles, Perpendicular, Area.

Equilateral triangle, Circumcircle

Problem 526.
Equilateral Triangle, Circumcircle, Chord, Measurement.

Triangle, Circumcenter, Angle

Problem 476.
Triangle, Circumcenter, Circumcircle, Angles.

Triangle Brocard point

Proposed Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius, Circumcenter
, Circumcircle.

Circumradius, Circumcenter, Triangle

Proposed Problem 426.
Triangle, Circumradius, Circumcenter
, Circumcircle, concurrent Cevians.

Area of a triangle, Circumcircle, Angle Bisector

Proposed Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.
Puzzle based on poblem 401.

Triangle, Orthocenter

Proposed Problem 393.
Triangle, Orthocenter, Circumcircles, Congruence, Collinear.

Triangle with squares, Circumcircles

Proposed Problem 370.
Triangle with squares, Circumcircles, Tangent circles.

Triangle, Circumcenter, Incenter, Excenter, Collinear

Proposed Problem 320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points.

Puzzle: Euler Line and Nine Point Center

Schiffler Point: Four Euler Lines with interactive animation and manipulation.
Circumcenter, Circumcircle, Centroid, Orthocenter, and Incenter.

Interactive Simson Line

Interactive Simson Line. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Circumcenter O.

Angle between two Simson Lines. Proof with animation.
 

Simson Line. A proof of Simson line with animation.

Elearning Geometry

Triangle, Three Medians, Six Concyclic Circumcenters. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.

Elearn 209

Proposed Problem 209. Circumcenter of the contact triangle.
Triangle, Incircles, Inradius.

Triangle Centers Video

Journey to the Center of a Triangle (1976). Incenter, Circumcenter, Centroid, Orthocenter.

Feuerbach Points and Nine-Point Circle with interactive animation, manipulation, and step-by-step construction.

Feuerbach Point Facts.
Distances between Feuerbach point and the incenter, nine-point center, centroid, Spieker point, and Circumcenter

Spieker Center

Gergonne Line

Interactive Gergonne Line and Nobbs Points. Circumcenter of the contact triangle.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.

Steiner Point
Circumcenter, Lemoine Point. 

Symmedian (Lemoine) Point
Triangle Center

 

Sangaku Problem (An Old Japanese Theorem). Inradii, Carnot's theorem.

Carnot Theorem. Circumcenter, circumradius, inradius

Steiner Theorem. Circumcenter, circumradius, inradius, exradii

Classical Pythagorean Theorem

Right Triangle: Circumcenter. Centers, Inradius, Circumradius, Incenter, Circumcenter, Orthocenter, Centroid, Poncelet's theorem, Sagitta.

Elearning: Triangle, Circle, Incircle, Radius

Proposed Problem 160. Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius.  

Triangle Elearning 159

Proposed Problem 159. Distances from the Circumcenter to the Incenter and the Excenters.  

Geometry Problem 158

Proposed Problem 158. Circumcenter
 Relation between the Circumradius, Inradius and Exradii of a triangle.
 

Elearning triangle 157

Proposed Problem 157. Distance from the Circumcenter to the Excenter.  

Elearning triangle 156

Proposed Problem 156. Circumcenter
Triangle, Circumradius, Exradius, Chord, Secant line.
 

Elearning 155

Proposed Problem 155. Euler's Theorem: Distance from the Incenter to the Circumcenter.  

Elearning 154

Proposed Problem 154. Circumcenter.
Triangle, Inradius, Circumradius, Chord.

Geometry Problem 145. Elearning Triangle

Proposed Problem 145. Four Triangles, Incircle, Tangent and Parallel to Side, Incenters, Circumcenters.

Geometry problem 143

Proposed Problem 143. Circumcenter.
Four Triangles, Incircle, Tangent and Parallel to Side, Circumradii.

Elearning 139: Triangle Area

Proposed Problem 139. Circumcenter.
Triangle Area, Orthic Triangle, Semiperimeter, Circumradius.
 

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