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Ancient Greek mathematicians are known to have solved specific instances of polynomial equations with the use of straightedge and compass constructions, which simultaneously gave a geometric proof of the solution's correctness. Once a construction was completed, the answer could be found by measuring the length of a certain line segment (or ...
[1] [2] Greek mathematicians lived in cities spread over the entire region, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language. [3] The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those ...
Boethius provided a place for mathematics in the curriculum in the 6th century when he coined the term quadrivium to describe the study of arithmetic, geometry, astronomy, and music. He wrote De institutione arithmetica , a free translation from the Greek of Nicomachus 's Introduction to Arithmetic ; De institutione musica , also derived from ...
In historical times, Greek civilization has played one of the major roles in the history and development of Greek mathematics. To this day, a number of Greek mathematicians are considered for their innovations and influence on mathematics .
Education for Greek people was vastly "democratized" in the 5th century B.C., influenced by the Sophists, Plato, and Isocrates. Later, in the Hellenistic period of Ancient Greece, education in a gymn school was considered essential for participation in Greek culture. The value of physical education to the ancient Greeks and Romans has been ...
Title page of Pappus's Mathematicae Collectiones, translated into Latin by Federico Commandino (1588).. Pappus of Alexandria (/ ˈ p æ p ə s / ⓘ; Ancient Greek: Πάππος ὁ Ἀλεξανδρεύς; c. 290 – c. 350 AD) was a Greek mathematician of late antiquity known for his Synagoge (Συναγωγή) or Collection (c. 340), [1] and for Pappus's hexagon theorem in projective geometry.
The quantity h (called the Coxeter number) is 4, 6, 6, 10, and 10 for the tetrahedron, cube, octahedron, dodecahedron, and icosahedron respectively. The angular deficiency at the vertex of a polyhedron is the difference between the sum of the face-angles at that vertex and 2 π. The defect, δ, at any vertex of the Platonic solids {p,q} is
The ancient Greeks employed Attic numeration, [22] which was based on the system of the Egyptians and was later adapted and used by the Romans. Greek numerals one through four were written as vertical lines, as in the hieroglyphics. The symbol for five was the Greek letter Π (pi), representing the Greek word for 'five' (pente). Numbers six ...
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