Trigonometry has been used for thousands of years, but many don’t know where it all began and originated. There were many individuals that contributed to the development of this area of study, which has created the official study of the relations of the sides and angles of triangles and the relevant functions of any angles. As a Greek astronomer, geographer, and mathematician, Hipparchus of Rhodes is known as the person that laid the framework for trigonometry and is famous for his incidental discovery of precession of the equinoxes.

Little is known of Hipparchus’s life, but he had a great impact on the trigonometry course we study today. He was born 190 BC in Nicaea in Bithynia, which is now Iznik, Turkey. He is listed as a famous man of*…show more content…*

He was the first person whose systematic use of trigonometry has documentary evidence, which is presented from Ptolemy and Theon of Alexandria. For example, he is responsible for the division of a circle into 360 degrees, the creation of one of the first trigonometric tables for solving triangles, and the precepts of trigonometry. The table showed how each degree divided into 60 minutes, which made the radius 360.60/2π = 3438 minutes and the chord function Crd of Hipparchus is related to the sine function by (Crd 2a)/2 = 3438 sin a. The table of chords, explained in 12 books, is used as a method to solve triangles without having to solve each triangle from first principles. As an astronomer, he calculated the length of the year to within 6.5 minutes. He also discovered the precession of equinoxes with a value of 46 degrees, which is fairly close to the modern number of 50.26 degrees. The precession of the equinoxes, or the gradual shift in Earth’s rotation axis, demonstrates how the earth wobbles like a top as it spins, which indicates there is a shift in point of direction of the poles over time. Hipparchus’s calculations are able to explain why the north star changes throughout a 26,000-year cycle; at some point of time it was Thuban, Beta Ursae Majoris, and the Polaris star is the north star now. In addition, he charted the sky with 850 stars and motions of the moon. These are

Little is known of Hipparchus’s life, but he had a great impact on the trigonometry course we study today. He was born 190 BC in Nicaea in Bithynia, which is now Iznik, Turkey. He is listed as a famous man of

He was the first person whose systematic use of trigonometry has documentary evidence, which is presented from Ptolemy and Theon of Alexandria. For example, he is responsible for the division of a circle into 360 degrees, the creation of one of the first trigonometric tables for solving triangles, and the precepts of trigonometry. The table showed how each degree divided into 60 minutes, which made the radius 360.60/2π = 3438 minutes and the chord function Crd of Hipparchus is related to the sine function by (Crd 2a)/2 = 3438 sin a. The table of chords, explained in 12 books, is used as a method to solve triangles without having to solve each triangle from first principles. As an astronomer, he calculated the length of the year to within 6.5 minutes. He also discovered the precession of equinoxes with a value of 46 degrees, which is fairly close to the modern number of 50.26 degrees. The precession of the equinoxes, or the gradual shift in Earth’s rotation axis, demonstrates how the earth wobbles like a top as it spins, which indicates there is a shift in point of direction of the poles over time. Hipparchus’s calculations are able to explain why the north star changes throughout a 26,000-year cycle; at some point of time it was Thuban, Beta Ursae Majoris, and the Polaris star is the north star now. In addition, he charted the sky with 850 stars and motions of the moon. These are

Related

- Decent Essays
## Plato to Darwin to Dna Essay

- 1007 Words
- 5 Pages

One of Thales’ most renounced findings include his discovery in geometric studies in the area reading the rules of triangles. He came to the conclusion that if the base angles of an isosceles triangle are equal, the sum of the angles of a triangle are equivalent to two right angles. With the application of “geometric principles to life situations, Thales was able to calculate the height of a pyramid by measuring its shadow, and the distance of a boat to the shore, by using the concept of similar triangles” (pg. 5, Muehlbauer). Realizations such as these helped shape the beginning for the formation of natural law based on observations of the world through explanation.

- 1007 Words
- 5 Pages

Decent Essays - Better Essays
## Essay about HIstory of Astronomy and Neptune

- 2615 Words
- 11 Pages

Ptolemy was a Greek man who became the man to set the future for astronomy. He was the third of the Alexandrian men, this group of scientists and mathematicians taught Alexander and his generals themselves. Living around 150 A.D., and being one of the

- 2615 Words
- 11 Pages

Better Essays - Satisfactory Essays
## Research Paper On Hipparchus

- 117 Words
- 1 Pages

Hipparchus was a greek astronomer, geographer, and mathematician born 190 B.C. in Nicaea and died in 120 B.C. Rhodes, Rhodes, Greece. Hipparchus is accredited as the inventor of trigonometry because of his discovery of the first table of chords and also because he's the only person with valid data of the discovery and usage of trigonometry. In order to calculate the rising and setting of zodiacal signs, Hipparchus brought to light the division of circles into 360 degrees and the calculation of chords by looking at the triangles (spherical triangles or triangles that made up a circle) differently. Hipparchus experimented putting all triangles to be within a circle and with the three points each touching the

- 117 Words
- 1 Pages

Satisfactory Essays - Better Essays
## Pythagoras 's Influence On The Founding Of Calculus

- 1707 Words
- 7 Pages

Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician and scientist and is best known for the Pythagorean theorem which relates the two sides of a triangle to the hypotenuse using the formula a squared plus b squared equals c squared. However, because legend and obfuscation cloud his work even more than that of other pre-Socratic philosophers, one can give only a tentative account of his teachings, and some have questioned whether he contributed much to mathematics or natural philosophy. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were

- 1707 Words
- 7 Pages

Better Essays - Satisfactory Essays
## How Did Pythagoras Contribute To The Music World

- 187 Words
- 1 Pages

Pythagoras also contributed to the music world. He expressed the musical harmony in formulas. He created a scale layout with gongs in different sizes and he proved that in the resonance of the gongs he hit, 1 octave interval is equal to 2:1 proportion, the perfect fifth is equal to 3:2 proportion, perfect four is equal to 4:3 proportion and whole notes are equal to 9:8. This, later started to be known as “Pythagorean Tuning.”

- 187 Words
- 1 Pages

Satisfactory Essays - Good Essays
His model said that the planets moved not in circles around the sun, but in ellipses and the mathematics was proved using three laws:

- 1200 Words
- 5 Pages

Good Essays - Decent Essays
## AP Human Geography: Eratosthenes

- 611 Words
- 3 Pages

The Greeks were a civilization that have been admired and studied by historians for over hundreds of years before their tragic collapse. An extraordinary individual named Eratosthenes was born in a small Greek colony called Cyrene, he was a very talented Grecian who has a young man traveled to Athens

- 611 Words
- 3 Pages

Decent Essays - Good Essays
## Greek Culture and its Influences Today Essay

- 1160 Words
- 5 Pages
- 8 Works Cited

“Greek civilization is alive; it moves in every breath of mind that we breathe; so much of it remains that none of us in one lifetime could absorb it all.” Ancient Greeks are known to be one of the greatest and most advanced people and have left behind

- 1160 Words
- 5 Pages
- 8 Works Cited

Good Essays - Good Essays
## The Impact of the Scientific Revolution on Society and Religion

- 1057 Words
- 5 Pages

Johannes Kepler (1571-1630) was a German astronomer who believed in the heliocentric theory. Kepler is a clear example of the narrow line that separated science and religion. Nonetheless, his ideas would show that things could be solved through reason alone. He believed that the harmony of the human soul could be found through numerical relationships that existed between planets. He found that the planets: Mercury, Venus, Earth, Mars, Uranus, Jupiter, and Saturn all revolved at different times. For example, the earth revolved around the sun in a year while Saturn revolved around the sun in fifty years. From this, Kepler found a mathematical ratio, nine to the two-thirds power, to explain this phenomenon. This was revolutionary to humanity’s place in the universe. People were shocked that the universe could be explained by math alone rather than religion. This went strongly

- 1057 Words
- 5 Pages

Good Essays - Decent Essays
## Claudius Ptolemy's Accomplishments

- 576 Words
- 3 Pages

In other words Claudius Ptolemy was an astronomer who was born during the year 85 AD . He spent most of his life studying how the Earth, Planets, and Sun moved. He was one of the very first astronomers so, not very much was known. A lot of people doubted him because in his time religion was very important and they thought that they only thing you couldn't see with the naked eye was Heaven and hell. His first time he published his observation was on March 26th 127. He spent almost 20 years getting his theory to make sense. He knew people wouldn't believe him so he broke down his discovery into thirteen books and each book was a part of his discovery. After he published his first one he was able to do a couple small ones, but sadly, the last of his discoveries was made on

- 576 Words
- 3 Pages

Decent Essays - Better Essays
## Ancient Calendars Essay

- 1512 Words
- 7 Pages

Time Keepers Celestial bodies - the sun, moon, planets, and stars - have provided us a reference for measuring the passage of time throughout human existence. Ancient civilizations like: China, India, Babylon, and Greece relied upon the apparent motion of these bodies through the sky to record and determine seasons,

- 1512 Words
- 7 Pages

Better Essays - Good Essays
## Maranatha High School. . . . Final Draft: The Foucault

- 1139 Words
- 5 Pages

The ratio between the time and where the pendulum is confuses people the most. People found the sine factor to be confusing so Foucault made the gyroscope in 1852 to try and help them understand the concept of time with the pendulum. The gyroscope’s spinning rotor tracks the stars directly. Its axis of rotation turns once per day whatever the latitude, unaffected by the sine factor.

- 1139 Words
- 5 Pages

Good Essays - Satisfactory Essays
## Astronomer Aristarchus Stellar Aberration

- 199 Words
- 1 Pages

Astronomer Aristarchus was one of the first people to believe that the earth revolved around the sun. He came to this conclusion based on the size of the sun compared to the earth. He thought it was more logical then the sun revolving around the earth, though he had no actual proof. This first time there was actual proof of the motion of the Earth was in 1725, when James Bradley discovered stellar aberration. Stellar aberration is the yearly change in positions of all stars in the sky, which is due to Earth moving. It calculated by adding up the speed of light coming from the stars to Earths own motion. More proof was dissolved in 1838 by Friedrich Bessel. It’s called stellar parallax, which is based on when Earth changes its position relative

- 199 Words
- 1 Pages

Satisfactory Essays - Decent Essays
## The Winter Solstice And Northern Hemisphere

- 1268 Words
- 6 Pages

When the earth rotates on its axis it starts to changes seasons. But that 's depending where you live you and if you are on the different sides of the earth. That are known as the Northern Hemisphere and Southern Hemisphere. I say this because it may be summer in America but winter in Australia.

- 1268 Words
- 6 Pages

Decent Essays - Decent Essays
## Essay On Greek Geometry

- 722 Words
- 3 Pages

The Greek are one of the founders of geometry, and had a big impact on math and the world today. Greek geometry eventually passed into the hands of the great Islamic scholars, who translated it and added to it. All around us we can observe

- 722 Words
- 3 Pages

Decent Essays