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The Ancient Tradition of Geometric Problems studies the three classical problems of circle-squaring, cube-doubling, and angle trisection throughout the history of Greek mathematics, [1] [2] also considering several other problems studied by the Greeks in which a geometric object with certain properties is to be constructed, in many cases through transformations to other construction problems. [2]
Mathematics Dinostratus ( Greek : Δεινόστρατος ; c. 390 – c. 320 BCE) was a Greek mathematician and geometer , and the brother of Menaechmus . He is known for using the quadratrix to solve the problem of squaring the circle .
Arithmetica (Ancient Greek: Ἀριθμητικά) is an Ancient Greek text on mathematics written by the mathematician Diophantus (c. 200/214 AD – c. 284/298 AD) in the 3rd century AD. [1] It is a collection of 130 algebraic problems giving numerical solutions of determinate equations (those with a unique solution) and indeterminate equations.
Bryson of Heraclea (Greek: Βρύσων Ἡρακλεώτης, gen.: Βρύσωνος; fl. late 5th-century BCE) was an ancient Greek mathematician and sophist who studied the solving the problems of squaring the circle and calculating pi.
Doubling the cube, also known as the Delian problem, is an ancient [a] [1]: 9 geometric problem. Given the edge of a cube , the problem requires the construction of the edge of a second cube whose volume is double that of the first.
Greek became the lingua franca of scholarship throughout the Hellenistic world, and the mathematics of the Classical period merged with Egyptian and Babylonian mathematics to give rise to Hellenistic mathematics. [27] [28] Greek mathematics [a] reached its acme during the Hellenistic and early Roman periods, and much of the work represented by ...
One of the fragments contains propositions seven and eight, which is a solution to the problem of dividing a sphere by a plane so that the resulting two volumes are in a given ratio. Proposition ten gives a solution to the problem of doubling the cube. This is equivalent to solving a certain cubic equation. Another fragment contains ...
The study of mathematics as a "demonstrative discipline" began in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction". [4] Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning and ...