Diophantus studied algebraic problems seeking numerical solutions, preserved in the Arithmetica. Many of those problems ask for positive rational numbers; their scope therefore differs from the exclusively integer formulation often associated with modern Diophantine equations.[ref]
Book II, Problem 8 asks for a square to be split into two squares. In modern notation, gives a concrete rational example. The problem connects algebraic manipulation with the search for rational points on a curve, through exact algebraic relations.[ref]

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Diophantus refers to both a historical figure and a concept in mathematics. 1. **Diophantus of Alexandria**: He was an ancient Greek mathematician who lived around the 3rd century AD. Diophantus is often referred to as the "father of algebra" due to his work on algebraic equations.
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