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Ancient Greek and Hellenistic mathematicians made use of the chord. Given a circle and an arc on the circle, the chord is the line that subtends the arc. A chord's perpendicular bisector passes through the center of the circle and bisects the angle. One half of the bisected chord is the sine of one half the bisected angle, that is, [13]
The Battle of Tanagra was a land battle that took place in Boeotia in 457 BC between Athens and Sparta during the First Peloponnesian War. Tension between Athens and Sparta had built up due the rebuilding of Athens' walls and Spartan rejection of Athenian military assistance. [3] [4] The Athenians were led by Myronides and held a strength of ...
Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle' and μέτρον (métron) 'measure') [1] is a branch of mathematics concerned with relationships between angles and side lengths of triangles.
In a lost work, he discovered and enumerated the 13 Archimedean solids, which were later rediscovered by Johannes Kepler around 1620 A.D. Apollonius of Perga (c. 240 – c. 190 BC) is known for his work on conic sections and his study of geometry in 3-dimensional space. He is considered one of the greatest ancient Greek mathematicians.
The Battle of Mytilene was fought in 406 BC between Athens and Sparta. The Spartans were victorious. The Spartans were victorious. Shortly after the Battle of Notium , the Spartan Callicratidas took over command of the Peloponnesian fleet from Lysander .
The Battle of Sepeia is infamous for having the highest number of casualties within a battle during the classical Greek period. [3] The closest thing to a contemporaneous source for the description of the battle is, as for many events in this time period, the Histories of Herodotus (written approximately fifty years later, c. 440 BC). [4]
The Battle of Megara was fought in 424 BC between Athens and Megara, an ally of Sparta.Whilst the Athenian forces were initially successful against the Peloponnesian garrison there, a hasty arrival of Spartan forces under Brasidas saw a stalemate and eventual victory of the oligarchic party within the city of Megara and the withdrawal of Athenian forces.
The Battle of the 300 Champions, known since Herodotus' day as the Battle of the Champions, was fought in roughly 546 BC between Argos and Sparta.Rather than commit full armies both sides agreed to pitting 300 of their best men against each other.