A NOTE ON POSITIVE INTEGER TRIPLES (a, b, c) GENERATED BY THE EQUATION a-1 + b-1 = c-1
J. A. De Ia Cruz1, J. N. Singh2 and M. Shakil3
1,2Department of Mathematics and Computer Science, Barry University, Miami Shores, Florida 33161, USA
3Department of Mathematics, Miami Dade College, Hialeah, FL, USA.
Email: firstname.lastname@example.org, email@example.com, firstname.lastname@example.org
(Received : October 03, 2022; In format ; October 09, 2022; Revised: November 11, 2022; Accepted: November 13, 2022)
This paper develops some general formulas to generate positive integers triples (a, b, c) ∈ Z3+ satisfying equation a-1 + b-1 = c-1, which is based on a positive integer parameter λ = b − c and a ≥ b > c . The paper also investigates the area formed by the arcs arising from the equation.
2020 Mathematical Sciences Classification: 11A07, 18C15, 97G30.
Keywords and Phrases: Primitive, Triples, Area.
[Download PDF File]