By whom and where? Greeks claim the word trigonometry comes from the ancient greek word trigonon 3 angles. Indians claim the word came from a word in sanskrit. It sprung up all over the world at around the same period in Mesopotamia, India and Egypt, which are all responsible for developing different ideas of it.
No one person can be said to have discovered it, however many have developed it over time. Jhuntadu wrote: So is it true that Pythagoras discovered what we know as Pythagoras theorem. Edited by Leonardo. I am curious to know whether if it was the other way round would the Greeks still claim "pythagoras's theorem" Edited by Anujkhamar. Anujkhamar wrote: I am curious to know whether if it was the other way round would the Greeks still claim "pythagoras's formula" A formula is not a theorem.
It's funny how the human mind works Edited by Anujkhamar. Herez a poem to lighten your mood It's funny how the human mind works Yes, it's funny and I partly agree with you You probably know that Pythagoras is a semilegendary figure. Leonardo wrote: Yes, it's funny and I partly agree with you You probably know that Pythagoras is a semilegendary figure.
Did Pythagoras discover the Pythagoras Theorem. Kindly take a look at this article. The Babylonians established the measurement of angles in degrees, minutes, and seconds. Not until the time of the Greeks, however, did any considerable amount of trigonometry exist. In the 2nd century BC the astronomer Hipparchus compiled a trigonometric table for solving triangles. Such a table is equivalent to a sine table.
He also explained his method for constructing his table of chords, and in the course of the book he gave many examples of how to use the table to find unknown parts of triangles from known parts. Ptolemy provided what is now known as Menelaus's theorem for solving spherical triangles, as well, and for several centuries his trigonometry was the primary introduction to the subject for any astronomer. At perhaps the same time as Ptolemy, however, Indian astronomers had developed a trigonometric system based on the sine function rather than the chord function of the Greeks.
This sine function, unlike the modern one, was not a ratio but simply the length of the side opposite the angle in a right triangle of fixed hypotenuse. The Indians used various values for the hypotenuse. Late in the 8th century, Muslim astronomers inherited both the Greek and the Indian traditions, but they seem to have preferred the sine function.
By the end of the 10th century they had completed the sine and the five other functions and had discovered and proved several basic theorems of trigonometry for both plane and spherical triangles. The Muslims also introduced the polar triangle for spherical triangles. All of these discoveries were applied both for astronomical purposes and as an aid in astronomical time-keeping and in finding the direction of Mecca for the five daily prayers required by Muslim law.
Muslim scientists also produced tables of great precision. Finally, the great astronomer Nasir ad-Din at- Tusi wrote the Book of the Transversal Figure, which was the first treatment of plane and spherical trigonometry as independent mathematical Science.
The Latin West became acquainted with Muslim trigonometry through translations of Arabic astronomy handbooks, beginning in the 12th century. In the next century the German astronomer Georges Joachim, known as Rheticus introduced the modern conception of trigonometric functions as ratios instead of as the lengths of certain lines. Mansfield, a researcher at the University of New South Wales in Sydney, Australia, interpreted the mysterious numbers that were inscribed onto an ancient fragmented clay tablet called Plimpton The tablet, which was made in ancient Mesopotamia now Iraq between — B.
In , researchers had concluded that the tablet held some trigonometry, but was vastly different from the established study of trigonometry taught in schools today. Greek trigonometry is based on a right-angled triangle whose exact shape is ascertained by solving for its two other angles in a field of degrees, i.
This kind of applied geometry, which brings circles and right angles together, was very complicated and required approximations, but necessary for making astrological calculations. Mansfield realized that the Babylonian kind of applied geometry was a simpler study of rectangles.
If angles in trigonometry can be seen as two hands of a clock creating different angles as they divide a circle, the chart of numbers on Plimpton describes angles that are created when lines bisect a square.
Calculating angles in this manner allows for exact ratios, instead of the irrational numbers and approximations of Greek geometry. Mansfield had a hunch that these mathematics may have been developed alongside the rise of private property and the need to mark boundaries and borders. He searched for evidence to prove his hypothesis and he eventually found it. The nearly forgotten tablet Si.
He was the first whose quantitative and accurate models for the motion of the Sun and Moon survive. He developed a symbol for zero: a dot underneath numbers. Arab mathematicians took the geometric trigonometry trigonometric identities derived from geometric drawings of the Greeks, and added the mathematical sophistication and superior numbering system of Hindu mathematics, to create a trigonometry that very much resembles that of today. Archimedes is known as the Father of Mathematics.
Mathematics is one of the ancient sciences developed in time immemorial. The word "sine" Latin "sinus" comes from a Latin mistranslation by Robert of Chester of the Arabic jiba , which is a transliteration of the Sanskrit word for half the chord, jya-ardha.
Sir Isaac Newton was a mathematician and scientist, and he was the first person who is credited with developing calculus. Trigonometry spreads its applications into various fields such as architects, surveyors, astronauts, physicists, engineers and even crime scene investigators.
Hipparchus c. The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides. The sine function is defined as the ratio of the side of the triangle opposite the angle divided by the hypotenuse.
This ratio can be used to solve problems involving distance or height , or if you need to know an angle measure. To find the length of the side opposite the angle, d, we use the sine function. Sine sin function - Trigonometry. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
In any right triangle, the sine of an angle x is the length of the opposite side O divided by the length of the hypotenuse H.
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