Hipparchus menelaus ptolemy and greek trigonometry essay

A History of Mathematics. It should be recalled that form the days of Hipparchus until modern times there were no such things as trigonometric ratios. The Greeks, and after them the Hindus and the Arabs, used trigonometric lines.

Hipparchus menelaus ptolemy and greek trigonometry essay

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See Article History Menelaus of Alexandria, flourished 1st century ad, Alexandria and RomeGreek mathematician and astronomer who first conceived and defined a spherical triangle a triangle formed by three arcs of great circles on the surface of a sphere.

Furthermore, he originated the use of arcs of great circles instead of arcs of parallel circles on the sphere, a major turning point in the development of spherical trigonometry. Book II established theorems whose principal interest is their unstated application to problems in spherical astronomy.

Hipparchus menelaus ptolemy and greek trigonometry essay

The form of this theorem for plane triangles, well known to his contemporaries, was expressed as follows: In the form stated in Book III, the theorem became of fundamental importance in spherical trigonometry and astronomy, and the theorem has since been known by his name. Other works are attributed to him, including one on setting times of the signs of the zodiacone in six books on chords in a circle, and one in three books on elements of geometry, but his only extant work is Sphaerica.

Menelaus was not just a theoretical astronomer, as attested by the Almagest where Ptolemy c. Learn More in these related Britannica articles:Trigonometry is a branch of math first created by 2nd century BC by the Greek mathematician Hipparchus.

The history of trigonometry and of trigonometric functions sticks to the general lines of the history of math. Ptolemy took Menelaus’ construction _ crd · 2_ and said that the complement angle could be written as _ crd · ( o Hipparchus of Nicaea (c.

– c. B.C.) was a Greek astronomer, geographer, and mathematician of the Hellenistic period. Many credit him as the founder of trigonometry. Hipparchus was born in Nicaea, Bithynia (now Iznik, Turkey) and most likely died on the island of Rhodes.

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He flourished. Based largely on an earlier work by Hipparchus (ca. BC) it was included in Ptolemy's definitive Syntaxis Mathematica, better known by its Arabic name Almagest 2.

In this paper I will describe the geometric theorems used in the construction of this table and attempt to relate them to their contemporary trigonometric counterparts. Hipparchus of Nicaea (/ h ɪ ˈ p ɑːr k ə s /; Greek: Ἵππαρχος, Hipparkhos; c. – c. BC) was a Greek astronomer, geographer, and heartoftexashop.com is considered the founder of trigonometry but is most famous for his incidental discovery of precession of the equinoxes..

Hipparchus was born in Nicaea, Bithynia (now İznik, Turkey), and probably died on the island of Rhodes. But if it wasn’t for the efforts of the mathematicians Menelaus, Ptolemy, Hipparchus, and Thales of Miletus some of the methods to evaluate stuff and calculate stuff would not be possible, this is the history of trigonometry.

After Hipparchus the next Greek mathematician known to have made a contribution to trigonometry was Menelaus. We know very little about the life of Menelaus.

Ptolemy mentions that Menelaus observed in Rome in the year 98 AD (Toomer).

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