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Geometry: Open Problems

Online education degree: Open geometry problems, Tutoring, Tutorial, Tutor

Problem 1394

Geometry Problem 1394.
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Three Circles and Three Pair of Common Internal Tangents, Concurrency.

Problem 1393

Geometry Problem 1393.
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Monge's Circle Theorem, Three Circles and Three Pair of Common Tangents, Collinearity.

Problem 1388 Circle, Triangle

Geometry Problem 1385.
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Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points.

Problem 1376 Isosceles Triangle, Circle

Geometry Problem 1376.
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Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines.

Problem 1375 Isosceles Triangle, Circle

Geometry Problem 1375.
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Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base.

Problem 1374 Isosceles Triangle, Circle

Geometry Problem 1374.
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Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines.

Problem 1373 Isosceles Triangle, Altitude

Geometry Problem 1373.
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Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base.

Equilic Quadrilateral, problem 1371

Geometry Problem 1371: Equilic Quadrilateral 5
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Geometry problem 1364

Geometry Problem 1364.
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Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps.

Geometry problem 1361

Geometry Problem 1361.
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Triangle, Two Nine-Point Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps.

Geometry problem 1360

Geometry Problem 1360.
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Triangle, Nine-Point Circle, Feuerbach's Circle, Euler's Circle, Cyclic Quadrilateral, Concyclic Points, Sketch, iPad Apps.

Geometry problem 1359

Geometry Problem 1359.
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Triangle, Circumcircle, Congruent Angles, Midpoints.

Geometry problem 1356

Geometry Problem 1356.
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Quadrilateral, Triangle, Angle, 30 Degrees, Congruence.

Geometry problem 1351

Geometry Problem 1351.
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Two Tangential or Circumscribed Quadrilaterals, Midpoints, Perpendiculars.

Geometry problem 1350

Geometry Problem 1350.
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Triangle with three Intersecting Circles, Incircle, Collinear Points.

Geometry problem 1345

Geometry Problem 1345
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Three Equilateral Triangles, Center, Area, Common Vertex.

Geometry problem 1335

Problem 1335. The Lune of Hippocrates has the same area of a Kite.
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Geometry problem 1325

Geometry Problem 1325.
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Octagons, Midpoints, Squares, Mobile Apps, iPad.

Geometry problem 1320

Geometry Problem 1320.
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Triangle, Incircle, Tangent, Chord, Circle, Parallel, Perpendicular, Collinearity.

Geometry problem 1319

Geometry Problem 1319.
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Hexagons, Equilateral Triangles, Center, Midpoints.

Geometry problem 1317

Geometry Problem 1317.
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Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence.

Geometry problem 1316

Geometry Problem 1316.
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Triangle, Incircle, Tangent, Chord, Midpoint, Sum of two Segments, Congruence.

Geometry problem 1315

Geometry Problem 1315.
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Triangle, Incircle, Tangent, Chord, Circle, Congruence.

Geometry Problem 902

Static Diagram of problem 902
Dynamic Geometry Problem 902
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Triangle, Four Squares, Center, Concurrent Lines. GeoGebra, HTML5 Animation for Tablets

Geometry problem 1301

Geometry Problem 1301.
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Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency.

Geometry problem 1282

Geometry Problem 1282.
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Three Squares, Common Vertex, Midpoint, Perpendicular, 90 Degrees.

Geometry problem 1253

Geometry Problem 1253.
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Triangle, Orthocenter, Circle, Circumcircle, Altitude, Perpendicular, 90 Degree, Concurrency.

Geometry problem 1238

Geometry Problem 1238
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Square, Equilateral Triangle, Metric Relations. Mobile Apps.

Geometry problem 1233

Geometry Problem 1233
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Triangle, Euler Line, Orthic Axis, Perpendicular, 90 Degrees, Orthic Triangle.

Geometry problem 1212

Geometry Problem 1212
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Equilateral Triangle, Equilateral Hexagon, Concurrent Lines.

Geometry problem 1210

Geometry Problem 1210
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Circle, Tangent Line, Secant, Chord, Collinear Points.

Geometry problem 1176

Geometry Problem 1176
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Cyclic Quadrilateral, Diagonals, Six Diameters, Circles, Collinear Points, Concurrent Lines.

Six Tangential Quadrilaterals Theorem, problem 1175

Geometry Problem 1175: Six Tangential or Circumscribed Quadrilaterals Theorem
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Geometry problem 1169

Geometry Problem 1169
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Complete Quadrilateral, Orthocenters of the Component Triangles, Collinear Points, Ortholine, Steiner-line, Orthocentric line.

Geometry problem 1168

Geometry Problem 1168
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Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent.

Geometry problem 1163

Geometry Problem 1163.
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Isosceles Triangle, Congruence, Double Angle, Circle, Concyclic Points, Circumcenter, Perpendicular, Angle Bisector.

Geometry problem 1145

Geometry Problem 1145.
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Three Squares, Midpoints.

Geometry problem 1143

Geometry Problem 1143.
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Triangle, Circumcircle, Tangent Line, Reflection of a Point over a Line, Tangent Circles, Collinear Points.

Geometry problem 1142

Geometry Problem 1142.
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Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter.

Geometry problem 1140

Geometry Problem 1140.
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Triangle, Circumcircle, Circle, Center, Collinear Points.

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Last updated: Oct 8, 2018