Definition, History and interesting facts about pi (π)
This time I will share material about pi (π). Starting from the definition, history, and interesting facts about phi.A. Definition phiPhi is the circumference of the circle whose diameter is one unit. Value ratio between the circumference and diameter of a circle is always constant for each circle is 3.14159. Understanding Phi, Phi (π) is a mathematical constant that is the ratio of the circumference of a circle to its diameter. Greek letter π is a script that is read and phi phi can also be used in writing.Π commonly used value is 3.14, or 22/7, but to be more precise, it sought to> 1,241,100,000,000 decimal places. The value of π to 10 decimal places is 3.14159265358.(Http://yulianabria.blogspot.co.id/2011/06/pengertian-phi-dan-fakta-menarik.html)Numbers π (sometimes written pi) is a mathematical constant that is the ratio of the circumference of a circle to its diameter. The value of phi in 20 decimal places is 3.14159265358979323846. Many formulas in mathematics, science, and engineering that uses π, which makes it one of the important mathematical constants. π is an irrational number, which means that the value of π can not be expressed in integer division (22/7 fractions usually used as the value of π approach; but the fact there is no single denomination can represent the exact value of π.) Hence also, the decimal representation of π not will never end and will never have a permanent pattern of a particular number. Decimal digits of π seem randomly distributed, although until now it has not been proven. π is a transcendental number, the number is not the root of polynomials nonzero rational koeefisien lovelier. The transcendence of π implies the impossibility of mathematical puzzles fashioned "squaring the circle by simply using a compass and ruler" to be solved.(Https://id.wikipedia.org/wiki/Pi)B. The history of phiAncient Babylon calculate the area of a circle by taking 3 times the square of its radius, which gives the value of phi = 3. One Babylonian tablet (ca. 1900-1680 BC) shows the value of 3.125 for pi, which is a closer approach.Rhind Papyrus (ca.1650 BC), there is evidence that the Egyptians calculate the area of a circle with a formula that gives an approximate value for pi 3.1605.Ancient cultures mentioned above found their approach to measurement. Phi first calculation performed by Archimedes of Syracuse (287-212 BC), one of the greatest mathematicians of the ancient world. Archimedes approximated the area of a circle by using the Pythagorean Theorem to find areas of two regular polygons: the polygon inscribed in a circle and polygon in which the circle was circumscribed. Since the actual area of the circle lies between the areas of the inscribed and circumscribed polygons, the area of a polygon provide upper and lower limits for the area of the circle. Archimedes knew that he did not find the value of phi but only an approximation within those limits. In this way, Archimedes shows that pi is between 3 1/7 and 3 10/71.A similar approach is used by Zu Chongzhi (429-501), a brilliant mathematician and astronomer China. Zu Chongzhi will not be familiar with Archimedes' method-but because his book has been lost, little is known of his work. He calculated the value of the ratio of circumference of a circle to its diameter to be 355/113. To compute this accuracy for phi, he always started with an inscribed regular 24,576-gon and performed lengthy calculations involving hundreds of square roots carried out to 9 decimal.Mathematicians began using the Greek letter π in the 1700s. Introduced by William Jones in 1706, the use of this symbol popularized by Euler, who adopted it in 1737.The 18th century French mathematician named Georges Buffon devised a way to calculate phi based on probability. You can try yourself in the Exploratorium's Phi Toss exhibit.Pada In 1706, an English mathematician introduced the Greek alphabet pi (π) to represent the value being said. However, in 1737, Euler officially adopted this symbol to represent numbers.In 1897, the legislature of Indiana tried to determine the most accurate value for pi. But this policy was not successful.Most people at that time did not know the fact that the circle has an infinite number of angles. The value of phi is the large diameter of the circle that will be fitted to the circumference of a circle.The value of pi is 22/7 and is written as π = 22/7 or π = 3.14.Value of pi to 100 decimal places first is:3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
C. interesting facts about phiDid you know Yasumasa Canada, a professor at the University of Tokyo ?? He membutukan take about 116 hours to find as many decimal places 6.44245 billion Phi with a computer.In 1706, John Machin introduce a formula to calculate the value of pi, namely:π / 4 = 4 * arc tan (1/5) - arc tan (1/239).In 1949, he also spent about 70 hours to count 2,037 decimal places of pi using the ENIAC (Electronic Numeric Integrator and Computer).A German mathematician, Ludolph van Ceulen, dedicating his whole life to count the first 35 decimal places of pi.In 1768, Johann Lambert proved the value Phi is an irrational number, and in 1882, Ferdinand Lindemann is also famous mathematicians prove Phi is a number that is difficult to understand.There are people who memorize all the decimal digits of pi. People are making a song and music based on the digits of pi. That is some understanding of the PI, interesting facts and a little history.Another interesting fact about phi is taken from the Greek letter "Piwas". It is also the Greek alphabet to-16.A businessman in Cleveland, USA, published a book in 1931 to announce that the value of pi is 256/81.If you print billions of decimal phi, then it would stretch from New York City to Kansas.(Http://yulianabria.blogspot.co.id/2011/06/pengertian-phi-dan-fakta-menarik.html)A few of my posts this time. May be useful for friends.
0 Komentar untuk "Definition, History and interesting facts about pi (π)"
Silahkan berkomentar sesuai artikel