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Tendon and sinus tables

Hipparchos of Nikaia (about 190 to 125 BC), one of the most important astronomers of antiquity, is considered the founder of spherical trigonometry - a website that does your homework . His books have not survived, but he probably possessed chord tables. In antiquity, tables that recorded relationships between angles and lengths were related to the circle (hence chord tables); it was not until the 16th century that the transition to the right-angled triangle took place.

The tables developed in early antiquity, which showed the relationship between the central angle and the corresponding chord, are today rightly counted among the trigonometric tables of antiquity. Menelaos of Alexandria, a Hellenistic mathematician living in Rome around 100, is said to have written six books on chords.

Claudius Ptolomaus (also Klaudios Ptolemaios), whose approximate life dates are 85 to 165, is considered the most important astronomer of antiquity. A summary of mathematical and astronomical knowledge with the Arabic name "Almagest" has been transmitted by him. Ptolomaus calculated and explained planetary orbits and postulated the geocentric world view, which was only replaced in 1543 by the heliocentric world view established by Kopernikus.

Ptolomaus used chord tables as an aid. In these tables, the chord lengths for a circle with radius 1 were tabulated for angles between 0 and 180 degrees with a step size of 30 minutes and an accuracy of - in today's language - pay someone to do my math homework - five decimal places. In terms of content, this corresponds to the sinus tables (which, however, are currently losing importance in practice due to the existing computing technology).

In the 5th century, the sine concept was introduced by Indian mathematicians - geometry homework help , and the sinew tables were replaced by sine tables.

In Europe, the knowledge of antiquity and the Orient became known via the Arabs in the 13th century. A large table work (Opus Palatinum de triangulis), compiled by the Wittenberg mathematician Georg Joachim Rhaeticus (also Rheticus, 1514 to about 1585), appeared in 1596.

The terms commonly used in trigonometry today were introduced in the 18th century by Leonhard Euler (1707 to 1783), as were the notations for trigonometric functions.

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Sam Albee

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