What did Menelaus do for trigonometry?
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What did Menelaus do for trigonometry?
Menelaus’ major contribution to the rising science of trigonometry was contained in his Sphaerica, in three books. It is this work which entitles him to be regarded as the founder of spherical trigonometry and the first to have disengaged trigonometry from spherics and astronomy and to have made it a separate science.
How did Menelaus contribute to astronomy geometry and trigonometry?
Menelaus of Alexandria, (flourished 1st century ad, Alexandria and Rome), Greek 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).
How did Hipparchus discover trigonometry?
He did this by using the supplementary angle theorem, half angle formulas, and linear interpolation. Hipparchus was not only the founder of trigonometry but also the man who transformed Greek astronomy from a purely theoretical into a practical predictive science.
Who invented spherical trigonometry?
Nasīr al-Dīn al-Tūsī
In the 13th century, Nasīr al-Dīn al-Tūsī was the first to treat trigonometry as a mathematical discipline independent from astronomy, and he developed spherical trigonometry into its present form.
Who is the father of spherical trigonometry?
What is spherical trigonometry used for?
The upshot is that calculating the distance between two points amounts to calculating the central angle they determine on the great circle that passes through both of them. This is where spherical trigonometry becomes useful.
Which country invented trigonometry?
The Babylonians could measure angles, and are believed to have invented the division of the circle into 360º. However, it was the Greeks who are seen as the original pioneers of trigonometry.
What is Napier’s formula?
Then Napier has two rules: The sine of a part is equal to the product of the tangents of the two adjacent parts. The sine of a part is equal to the product of the cosines of the two opposite parts.
Are trigonometry planes hard?
You have to remember what they represent and the various ways they impact angles and lengths. Trigonometry is difficult because it involves a lot of memorization of different functions which can then deviate into other functions.