College Geometry Online, eLearning

Geometry, Concurrent Lines, Theorems and Problems

 

Concurrent Lines - Table of Content - Page 1

Concurrent lines, Index

Clawson Point

Clawson Point.
Orthic and Extangents Triangles, Concurrent lines.

Kosnita theorem

Kosnita's Theorem.
Circumcenters, Concurrent lines.

Fermat Point

Fermat Point.
 

Vecten Point

Vecten Outer Point.
 

Brianchon Theorem

Brianchon's Theorem in a Circumscribed Hexagon.

Brianchon Corollary

Brianchon Corollary, Circumscribed Hexagon, Concurrency lines.

Isogonic-Jacobi Theorem

Isogonic-Jacobi Theorem
Using TracenPoche Dynamic Geometry Software

Geometry problem 1301

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

Geometry problem 1300

Geometry Problem 1300.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines.

Geometry problem 1293

Geometry Problem 1293.
Triangle, Altitudes, Two Squares, Center, Concurrent Lines, Midpoint.

Geometry problem 1289

Geometry Problem 1289.
Triangle, Cevian, Concurrency, Measurement, Metric Relations.

Geometry problem 1264

Geometry Problem 1264.
Triangle, Exterior Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines.

Geometry problem 1260

Geometry Problem 1260.
Triangle, Internal Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines.

Geometry problem 1253

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

Geometry problem 1242

Geometry Problem 1242.
Quadrilateral, Four Interior and Exterior Angle Bisectors, Collinearity, Concurrent Lines. Mobile Apps.

Geometry problem 1237

Geometry Problem 1237
IMO 2016, Problem 1, Triangle, Congruence, Parallel Lines, Midpoint, Concurrency.

Geometry problem 1235

Geometry Problem 1235
Triangle, Cevians, Concurrency, Circle, Circumcircle.

Geometry problem 1212

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

Geometry problem 1184

Geometry Problem 1184
Right Triangle, Square, Inscribed Circle, Tangent, Concurrent Lines.

Geometry problem 1176

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

Geometry problem 1141

Geometry Problem 1141.
Inscribed Pentagon, Circle, Triangle, Congruence, Midpoint, Concurrency.

Geometry problem 1139

Geometry Problem 1139.
Triangle, Circumcircle, Angle Bisector, Parallel Lines, 90 Degrees, Concurrent Lines.

Geometry Problem 1088

Geometry Problem 1088.
Triangles, Perpendicular, Concurrent Lines.

Geometry Problem 1047

Geometry Problem 1047.
Parallelogram, Parallel Lines, Concurrent Lines, Diagonals.

Geometry Problem 1012

Geometry Problem 1012.
Equilateral Triangle, Incenters, Inscribed Circles, Perpendicular, Concurrent Lines.

Geometry Problem 1007

Geometry Problem 1007.
Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency.

Geometry Problem 1004

Geometry Problem 1004.
Triangle with Squares, Perpendicular Bisectors, Concurrent Lines.

Geometry Problem 994

Geometry Problem 994.
Trapezoid, Midpoints of the bases, Concurrent Lines.

Geometry Problem 981

Geometry Problem 981.
Triangle, Concurrent Cevians, Midpoints, Area, Hexagon.

Geometry Problem 979

Geometry Problem 979.
Triangle, Cevian, Angle Bisector, Concurrency, 90 Degrees, Perpendicular.

Geometry Problem 974

Geometry Problem 974.
'Begonia Theorem', Cevian Triangle, Reflection of a point in a line, Concurrency of Lines. GeoGebra, HTML5 Animation for Tablets.

Geometry Problem 945

Geometry Problem 945.
Triangle, Concurrent Lines, Cevians, Perpendicular, Angle Bisector.

Problem 929

Geometry Problem 929.
Triangle, Orthocenter, Circumcircle, Reflection, Concurrency.

Problem 928

Geometry Problem 928.
Triangle, Midpoint, Median, Cevian, Concurrency, Area.

Excenter, Excircle, Index

Excenter. Index.
Concurrent angle bisectors

Circumcenter Index

Circumcenter. Index.
Concurrent perpendicular bisectors.

Orthocenter Index

Orthocenter Index.
Concurrent altitudes.

Centroid of a triangle Index

Centroid /Barycenter. Index.
Concurrent medians.

Centers

Triangle Centers.

Elearning Geometry

Triangle, Medians, Six Circumcenters Concyclic. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Concurrent medians..

Trapezoid

Trapezoid, Triangle, Diagonals, Midpoints. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Concurrent lines.

Triangle Square Theorem 1. Elearning, Online Tutoring

Triangle and Squares Theorem 1: with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.
Concurrent lines.

Gergonne's theorem

Gergonne's Theorem: Triangle and Concurrent Cevians.

Taylor Circle Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation.
Henry Martyn Taylor and the blind student of mathematics
Concurrent altitudes.

Interactive Orthopole of a Triangle: Using TracenPoche Dynamic Geometry Software, Online Step-by-Step construction, manipulation, and animation.
Concurrent perpendiculars.

Schiffler Point: Concurrent Four Euler Lines with interactive animation and manipulation.

Van Aubel's theorem II

Van Aubel's Theorem II: Triangle and Concurrent Cevians.
 

Incenter, Excenter, Incircle, Excircle Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation.
Concurrent angle bisectors.

Three Tangent Circles Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation.
Concurrent common tangent lines

Three Circles Theorem Using TracenPoche Dynamic Software.
Concurrent common chords

Symmedian (Lemoine) Point
Triangle Center

Nagel Point Theorem. Proof.
Concurren lines. 

Gergonne Point Theorem

Gergonne Point Theorem. Concurrency. Interactive proof with animation.
Key concept: Ceva's Theorem.
 

The Bevan Point The circumcenter of the excentral triangle. Illustration with animation.
Concurrent perpendiculars.

Ceva's theorem

Ceva's Theorem. Concurrency. Interactive proof with animation. Key concept: Menelaus Theorem.

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Last updated: Dec 31, 2016