Go Geometry Education: Centroid

Centroid or Barycenter of a triangle, Online Geometry, Theorems and Problems

Centroid of a triangle, Index

Centroid of a triangle Index

 

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions
One-page visual illustration.
Euclid's Elements Book. Index

Dynamic Geometry: Centroid of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Centroid of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Dynamic Geometry: Euler Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Euler Line of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Triangle Centers.

Distance between triangle centers

Distances between Triangle Centers Index.

Geometry Problem 1515

Geometry Problem 1515 and a Thematic Poem.
Mastering Triangle Distance Calculation: Find the Distance from the Intersection of Medians to an Exterior Line. Difficulty Level: High School.

Problem 1438

Geometry Problem 1438.
Triangle, Incenter, Centroid, Circumcenter, Parallel, 90 Degree, Art, Poster, Typography, iPad Apps.

Geometry problem 1263

Geometry Problem 1263.
Triangle, Medians, Centroid, 90 Degrees, Perpendicular.

Geometry problem 1205

Geometry Problem 1205
Triangle, Centroid, Outer and Inner Napoleon Equilateral Triangles.

Geometry problem 1179

Geometry Problem 1179
Triangle, Centroid, Transversal, Sum of Ratios, Sides.

Geometry problem 1125

Geometry Problem 1125.
Triangle, Four Equilateral Triangles, Centroid, Midpoint.

Geometry Problem 1007

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

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, Centroid, Circumcenter, Circumradius, Midpoint

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

Centroid, Barycenter

Problem 576.
Centroid, Triangle, Quadrilateral, Parallel, Measurement.

Hexagon, Centroids

Proposed Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity.

Elearning 161 Parallelogram and Octagon Areas

Proposed Problem 161.
Parallelogram, Midpoints, Octagon, Areas, Centroid.

Nine-Point Center, Nine-Point Circle, Euler Line (English version).
Interactive illustration.
Centroid, Orthocenter, Circumcenter.

Puzzle: Euler Line and Nine Point Center

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

Problem 254: Triangle and Centroid

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

Elearning 254: Triangle and Centroid

Proposed Problem 254.
Triangle, Centroid, Vertices, a Point, Distances, Squares.

Elearning 253: Triangle, Centroid

Proposed Problem 253.
Triangle, Centroid, Vertices, Distances, Squares.

Triangle sides, medians, squares

Proposed Problem 249.
Triangle sides, medians, squares.

Elearning: Napoleon Theorem III

Proposed Problem 248.
Napoleon's Theorem III. Inner and outer Napoleon triangles, Area.

Napoleon Theorem II

Proposed Problem 247.
Napoleon's Theorem II. Internal Equilateral triangles. Inner Napoleon triangle.

Napoleon Theorem I

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

Elearn 229: Triangle, Centroid, Transversal

Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular lines.

Elearn 227: Triangle, Centroid

Proposed Problem 227. Triangle, Centroid, Exterior line, Perpendicular lines.

Problem 226: Triangle, Centroid

Proposed Problem 226. Triangle, Centroid, Perpendicular lines.  

Triangle Centers Video

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

Eight Point Circle Theorem. Elearning

Eight-Point Circle Theorem centroid or gravity center of quadrilateral.
Step-by-Step construction, Manipulation, and animation.

Elearning Geometry

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

Elearn 127: Centroid, Incenter

Proposed Problem 127. Centroid and Incenter of a Triangle, Parallel, Proportions.

Spieker Center Medial triangle, Centroid, Incircle

Heron's Formula with medians 

Symmedian (Lemoine) Point
Triangle Center

Classical Pythagorean Theorem

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

Quadrilateral Area, Elearning.

Proposed Problem 98. Quadrilateral Area, Centroid, Similarity.

 

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Last updated: Feb 27, 2023