Explore: Fraction (arithmétique)

Problèmes plaisans et délectables qui se font par les nombres, Les éléments arithmétiques, and a Latin translation of the Arithmetica of Diophantus (the very

all positive and rational, such that a3 − b3 = c3 + d3. This work, on fractions, is known by a single reference, a Neoplatonic scholium to Iamblichus'

on this papyrus, in which a set of fractions adding to less than one should be completed, by adding more fractions, to make their total come out to exactly

studied the eponymous triangle comprehensively in his Traité du triangle arithmétique. The development of the binomial theorem for positive integer exponents

then the first one, "explaining the operations with fractions with a sequence of unit fractions (of the type 3 + 1/3 + 1/14 + 1/42 ···) and the extraction

multiplicative rules for constructing it in 1570. Pascal's Traité du triangle arithmétique (Treatise on Arithmetical Triangle) was published posthumously in 1665

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MR 1906742. Cvijović, Djurdje; Klinowski, Jacek (1997). "Continued-fraction expansions for the Riemann zeta function and polylogarithms". Proc. Amer

period include extension of the place-value system to include decimal fractions, the systematised study of algebra and advances in geometry and trigonometry

1609, Guidobaldo del Monte made a mechanical multiplier to calculate fractions of a degree. Based on a system of four gears, the rotation of an index