Archimedes' Cattle Problem

DOI10.2307/2589706zbMath0947.11014OpenAlexW4234874993WikidataQ56058068 ScholiaQ56058068MaRDI QIDQ4222470

Ilan Vardi

Publication date: 14 August 2000

Full work available at URL: https://doi.org/10.2307/2589706

zbMATH Keywords

fundamental solutioncontinued fractionsPell's equationArchimedes cattle problemseven linear and two quadratic diophantine equations

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) History of number theory (11-03) History of mathematics in the 19th century (01A55) History of Greek and Roman mathematics (01A20)

Related Items (1)

Two great theorems of Lord Brouncker and his formula \(b(s-1)b(s+1) = s^2\), \(b(s)= s + { \frac{1^2}{2s+{\frac{3^2}{2s + {\frac{5^2}{2s+{}_{\ddots}}}}}} }\)

Uses Software

• Mathematica

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