Washington State
University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
WEBS 11
November 4, Monday, 4:10 - 5:00 PM
Jakob Streipel
Department of Mathematics and Statistics
Washington State University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
WEBS 11
November 4, Monday, 4:10 - 5:00 PM
Jakob Streipel
Department of Mathematics and Statistics
Washington State University
Title: Constructing infinitely many rational right
triangles of the same area
Abstract: The congruent number problem asks the question: given a natural number, is it the area of a rational right triangle? This is an unresolved problem with deep connections to algebraic geometry and number theory. In this talk we ask a simpler question (given one rational right triangle with integer area, are there infinitely many?) and give an elementary answer using Euclidean geometry.
Abstract: The congruent number problem asks the question: given a natural number, is it the area of a rational right triangle? This is an unresolved problem with deep connections to algebraic geometry and number theory. In this talk we ask a simpler question (given one rational right triangle with integer area, are there infinitely many?) and give an elementary answer using Euclidean geometry.