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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]
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.
He is considered one of the greatest ancient Greek mathematicians. Hipparchus (c. 190 – c. 120 BC) is considered the founder of trigonometry [9] and also solved several problems of spherical trigonometry. He was the first whose quantitative and accurate models for the motion of the Sun and Moon survive.
Hipparchus (/ h ɪ ˈ p ɑːr k ə s /; Greek: Ἵππαρχος, Hípparkhos; c. 190 – c. 120 BC) was a Greek astronomer, geographer, and mathematician.He is considered the founder of trigonometry, [1] but is most famous for his incidental discovery of the precession of the equinoxes. [2]
Greek mathematicians, by contrast, used deductive reasoning. The Greeks used logic to derive conclusions from definitions and axioms, and used mathematical rigor to prove them. [41] Greek mathematics is thought to have begun with Thales of Miletus (c. 624–c.546 BC) and Pythagoras of Samos (c. 582–c. 507 BC).
Trigonometry, having been introduced to ancient India through Greek works, was further advanced in India. The modern definitions of sine and cosine were developed in India. The Hindu–Arabic numeral system was developed in ancient India and spread to the later Islamic world to Al-Andalus where it was adopted (without the zero) by the French ...
Historians have discovered that an ancient Greek inscription on a marble slab in a museum collection is a rare, previously unknown “graduate school yearbook” type list of names.
[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 ...