The Centroid as a Nontrivial Area Bisecting Center of a Triangle

DOI10.1080/07468342.2017.1395659zbMath1407.97008OpenAlexW2779474503MaRDI QIDQ4581713

Stefan Catoiu, Allan Berele

Publication date: 20 August 2018

Published in: The College Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07468342.2017.1395659

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Plane and solid geometry (educational aspects) (97G40)

Related Items (5)

Bisecting envelopes of convex polygons ⋮ The Pentagonal Pizza Conjecture ⋮ Extreme area and perimeter bisectors in a triangle ⋮ Bisecting the Perimeter of a Triangle ⋮ Zindler Points of Triangles

Cites Work

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• On the equipartition of plane convex bodies and convex polygons
• Construction of a line through a given point to divide a triangle into two parts with areas in a given ratio
• The perimeter sixpartite center of a triangle
• Bisecting envelopes of convex polygons
• The bisectrix of a tetrahedron
• Nonuniqueness of Sixpartite Points
• Area and Perimeter Bisecting Lines of a Triangle
• Halving a Triangle
• Some Properties of Triangles as Extremal Convex Curves

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