October 15, 2018
4:15PM - 5:15PM
Math Tower 154
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2018-10-15 16:15:00
2018-10-15 17:15:00
Number Theory Seminar - Nicolae Anghel
Title: Heron Triangles with Constant Area and Perimeter
Speaker: Nicolae Anghel (University of North Texas)
Abstract: The talk undertakes a very detailed, very visual, and quite elementary study of the Heron triangles of fixed area and perimeter. It circumvents the traditional approach to Heron triangles based on elliptic curves. Its key focus is on the geometry, calculus, and algebra of the associated area curve. The main result presents a simple sufficient condition for the existence of infinitely many Heron triangles with constant area and perimeter. An application to Diophantine equations is also given.
Seminar URL: https://research.math.osu.edu/numbertheory/
Math Tower 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2018-10-15 16:15:00
2018-10-15 17:15:00
Number Theory Seminar - Nicolae Anghel
Title: Heron Triangles with Constant Area and Perimeter
Speaker: Nicolae Anghel (University of North Texas)
Abstract: The talk undertakes a very detailed, very visual, and quite elementary study of the Heron triangles of fixed area and perimeter. It circumvents the traditional approach to Heron triangles based on elliptic curves. Its key focus is on the geometry, calculus, and algebra of the associated area curve. The main result presents a simple sufficient condition for the existence of infinitely many Heron triangles with constant area and perimeter. An application to Diophantine equations is also given.
Seminar URL: https://research.math.osu.edu/numbertheory/
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Heron Triangles with Constant Area and Perimeter
Speaker: Nicolae Anghel (University of North Texas)
Abstract: The talk undertakes a very detailed, very visual, and quite elementary study of the Heron triangles of fixed area and perimeter. It circumvents the traditional approach to Heron triangles based on elliptic curves. Its key focus is on the geometry, calculus, and algebra of the associated area curve. The main result presents a simple sufficient condition for the existence of infinitely many Heron triangles with constant area and perimeter. An application to Diophantine equations is also given.
Seminar URL: https://research.math.osu.edu/numbertheory/
