Bisecting the Perimeter of a Triangle

DOI10.1080/0025570X.2017.1418589zbMath1407.51007OpenAlexW2793483008MaRDI QIDQ4622958

Allan Berele, Stefan Catoiu

Publication date: 18 February 2019

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0025570x.2017.1418589

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Euclidean analytic geometry (51N20)

Related Items (7)

Bisecting envelopes of convex polygons ⋮ Area computation for triangular area or perimeter bisecting deltoids ⋮ The Pentagonal Pizza Conjecture ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ Extreme area and perimeter bisectors in a triangle ⋮ Dividing the perimeter of a triangle into unequal proportions ⋮ The classification of convex polygons with triangular area or perimeter bisecting deltoids

Cites Work

• The perimeter sixpartite center of a triangle
• The classification of convex polygons with triangular area or perimeter bisecting deltoids
• Bisecting envelopes of convex polygons
• Nonuniqueness of Sixpartite Points
• Area and Perimeter Bisecting Lines of a Triangle
• The Centroid as a Nontrivial Area Bisecting Center of a Triangle
• Halving a Triangle
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