Online Geometry Tutoring, Tutorial, Tutor

Geometry Tutoring, Tutorial, Tutor: Triangle Centers, Theorems and Problems

Triangle Centers - Table of Content

The School of Athens

 

Triangle centers, visual index

Triangle Centers, Visual Index.

Incenter, Incircle, Index

Incenter of a triangle. Index.

Excenter, Excircle, Index

Excenter. Index.
Excircle, Exradius.

Circumcenter Index

Circumcenter. Index.

Centroid of a triangle Index

Centroid /Barycenter. Index.

Orthocenter Index

Orthocenter Index.

Circumcircle Index

Circumcircle Index.

Nine-point-circle, Euler Line, HTML5 Animation for iPad and Nexus

Nine-Point Center, Nine-Point Circle, Euler Line. Interactive illustration.
Circumcenter, Centroid, Orthocenter
HTML5 Animation for iPad and Nexus

Adobe Flash Animation.

Gergonne Point Theorems and Problems Index

Gergonne Points Index
Triangle Center

Nagel Point Theorems and Problems Index

Nagel Points Index
Triangle Center

Lester Circle Theorem

Lester Circle Theorem.

Gergonne Point Theorem

Gergonne Point Theorem. Concurrency. Interactive proof with animation.
HTML5 Animation for Tablets (iPad, Nexus)
Adobe Flash Animation
Key concept: Ceva's Theorem.

Nagel Point Theorem. Proof.
 

Symmedian (Lemoine) Point
Triangle Center

Geometry Problem 1487

Geometry Problem 1487.
Right Triangle, Altitude, Incircle, Tangent, Measurement.

Geometry Problem 1486

Geometry Problem 1486.
Right Triangle, Altitude, Incircle, Tangent, Measurement.

Geometry Problem 1485

Geometry Problem 1485.
Triangle, Orthocenter, Altitude, Circle, Diameter, Tangent, Measurement.

Dynamic Geometry 1480

Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Sangaku, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration. GeoGebra, iPad.

Dynamic Geometry 1479

Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector, Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines,, Step-by-step Illustration. GeoGebra, iPad.

Dynamic Geometry 1478

Dynamic Geometry 1478.
Cyclocevian, Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Step-by-step Illustration. GeoGebra, iPad.

Dynamic Geometry 1477

Dynamic Geometry 1477.
Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Step-by-step Illustration. GeoGebra, iPad.

Dynamic Geometry 1473

Dynamic Geometry 1473.
Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration.

Dynamic Geometry 1471

Dynamic Geometry 1471.
Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration.

Dynamic Geometry 1469

Dynamic Geometry 1469.
Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances, Step-by-step Illustration.

Dynamic Geometry 1468

Dynamic Geometry 1468.
Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii, Step-by-step Illustration.

Geometry Problem 1458

Geometry Problem 1458.
Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra.

Geometry Problem 1457

Geometry Problem 1457.
Altitudes, Circles, Similarity, Product of the Inradii Lengths, iPad. Step-by-step illustration using GeoGebra.

Geometry Problem 1456

Geometry Problem 1456.
Altitudes, Orthic Triangle, Circumcircle, Parallel lines, Similarity, Area, iPad. Step-by-step illustration using GeoGebra.

Geometry Problem 1455

Geometry Problem 1455.
Nagel Point, Excircles, Incircle, Congruent Segments, iPad. Step-by-step illustration using GeoGebra.

Fermat Point

Geometry Problem 903: First Fermat Point.
Post a solution
 

Exeter Point

Puzzle: Exeter Point
Triangle, Median, Circumcircle, Concurrent Lines, Euler Line.

Exeter Point

Dynamic Geometry: Exeter Point
Triangle, Median, Circumcircle, Concurrent Lines, Euler Line, GeoGebra, HTML5 Animation for Tablets.

Second Fermat Point

Second Fermat Point: Static diagram.
Second Fermat Point: Dynamic diagram.
Triangle, Equilateral triangles, Concurrent lines, GeoGebra, HTML5 Animation for Tablets (iPad, Nexus)

Vecten Point

Outer Vecten Point.
 

Morley Triangle and Center

Morley's Triangle and Center
Triangle Center

Feuerbach Point

Feuerbach Point
Triangle Center

iPad Apps IGS Apollonius: Feuerbach Point. Triangle, Incircle, Nine point circle, Tangent circles, Orthocenter, Midpoint 

iPad Apps: Apollonius Software. Feuerbach Point. Triangle, Incircle, Nine point circle, Tangent circles, Orthocenter, Midpoint.
Interactive Geometry Software.

Schiffler Point

Schiffler Point: Euler Lines
Triangle Center

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

Spieker Center

Spieker Center
Triangle Center

Ajima Malfatti Point 2

Ajima-Malfatti Point 2
Triangle Center. Interactive illustration.

Ajima-Malfatti Point 1

Ajima-Malfatti Point 1
Triangle Center. Interactive illustration.

Steiner Point

Steiner Point
Triangle Center

Mittenpunkt Point

Mittenpunkt Point
Triangle Center

Kosnita theorem

Kosnita's Theorem.
Circumcenters, Concurrent lines.

Clawson Point

Clawson Point.
Orthic and Extangents Triangles, Concurrent lines.

Clawson Point Puzzle, Geometry for Kids

Clawson Point Puzzle, Geometry for Kids.
22 Piece Polygons

Adams' Circle Theorem
 

Distance between triangle centers

Distances between Triangle Centers Index.

Triangle Centers.

Napoleon Theorem I

Proposed Problem 246.
Napoleon's Theorem I. External Equilateral triangles.

Circulo de los nueve puntos, Spanish

Circulo de los Nueve Puntos: Spanish version.
Interactive illustration.

Puzzle: Euler Line and Nine Point Center

Problem 1447

Dynamic Geometry Problem 1447.
Outer Vecten Point. Step-by-step illustration using GeoGebra.

Geometry problem 1231

Geometry Problem 1231
Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle.

Adams Circle

Geometry Problem 821.
Adams Circle.

Equilateral triangle, Perimeter

Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter.

Distance between the incenter to the centroid

Problem 690: Distance between the Incenter and the Centroid of a Triangle.
Formula in terms of the sides a,b,c.

Triangle, Excircles, Tangent, Concurrency

Geometry Problem 689.
Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map.

Triangle with squares, Circumcircles

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

Equal Incircles Theorem: Triangles, cevians, circles.

Problem 257: Equilateral triangle, circumcircle

Proposed Problem 257.
Equilateral Triangle, Circumcircle, Point, Vertices, Side, Distances, Squares.

Elearning 256: Equilateral triangle

Proposed Problem 256.
Equilateral Triangle, Circumcircle, Point, Vertices, Distances.

Problem 254: Triangle and Centroid

Proposed Problem 255.
Triangle, Centroid, Vertices, a Point, Distances, Squares.

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Last updated: Nov 28, 2020