Preview

History of Pi

Better Essays
Open Document
Open Document
3413 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
History of Pi
The History of Pi

Throughout the history of mathematics, one of the most enduring challenges has been the calculation of the ratio between a circle's circumference and diameter, which has come to be known by the Greek letter pi. From ancient Babylonia to the Middle Ages in Europe to the present day of supercomputers, mathematicians have been striving to calculate the mysterious number. They have searched for exact fractions, formulas, and, more recently, patterns in the long string of numbers starting with 3.14159 2653..., which is generally shortened to 3.14. William L. Schaaf once said, "Probably no symbol in mathematics has evoked as much mystery, romanticism, misconception and human interest as the number pi" (Blatner, 1). We will probably never know who first discovered that the ratio between a circle's circumference and diameter is constant, nor will we ever know who first tried to calculate this ratio. The people who initiated the hunt for pi were the Babylonians and Egyptians, nearly 4000 years ago. It is not clear how they found their approximation for pi, but one source (Beckman) makes the claim that they simply made a big circle, and then measured the circumference and diameter with a piece of rope. They used this method to find that pi was slightly greater than 3, and came up with the value 3 1/8 or 3.125 (Beckmann, 11). However, this theory is probably a fantasy based on a misinterpretation of the Greek word "Harpedonaptae," which Democritus once mentioned in a letter to a colleague. The word literally means "rope-stretchers" or "rope-fasteners." The misinterpretation is that these men were stretching ropes in order to calculate circles, while they were actually making measurements in order to mark the property limits and areas for temples, according to (Heath, 121).

A famous Egyptian piece of papyrus gives us another ancient estimation for pi. Dated around 1650 BC, the Rhind Papyrus was written by a scribe named Ahmes. Ahmes wrote, "Cut off 1/9

You May Also Find These Documents Helpful

  • Satisfactory Essays

    Navigating Early

    • 1990 Words
    • 8 Pages

    It is an irrational number, which means that its value cannot be expressed exactly as a fraction (when the numerator and denominator are integers). Nobody knows its exact value, because no matter how many digits you calculate it to, the number never ends. In math it’s obvious that we use PI in calculations for finding the circumference of a circle and finding areas of circles, cylinders, cones, and spheres. What most people don’t know is that PI is also used to calculate numbers that are used in different jobs: for example electrical engineers used pi to solve problems for electrical applications, statisticians use pi to track population…

    • 1990 Words
    • 8 Pages
    Satisfactory Essays
  • Better Essays

    Greeks used a formula that is often found in nature called the Golden Ratio, to…

    • 985 Words
    • 4 Pages
    Better Essays
  • Good Essays

    Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.…

    • 357 Words
    • 2 Pages
    Good Essays
  • Good Essays

    The ancient Greek mathematician Euclid influenced mathematics in a large way after developing the Pythagorean theorem. His theorem (written around 300 B.C.) stated that “If two straight lines cut one another, the vertical, or opposite, angles shall be the same” (Doc. 5). Euclid wrote this theorem to set a base rule to help find the sum of the angles of a triangle. The Pythagorean theorem is still used today in mathematics thanks to Euclid’s contribution to society.…

    • 689 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Caminos Peligrosos

    • 629 Words
    • 3 Pages

    In this article, it starts out defining and looking into terms that most readers would know, hoping to get the reader comfortable and familiar with terms like perimeter, diameter, circumference, and pi. It states that pi is simply the ratio of a circle’s perimeter to its diameter symbolized by the geek letter for pi, π. Pi was originally the symbol for perimeter, and the Greek letter delta symbolized diameter. This passage by Asimov is about the pursuit and usage of pi.…

    • 629 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    twelfth night

    • 953 Words
    • 4 Pages

    While many will agree that Shakespeare’s Twelfth Night is critically acclaimed to be one of the most entertaining and well-liked pieces that he has written, there tends to be a discrepancy over how the characters in the play are portrayed when it comes to the importance of gender roles. After reading James C Bulman’s article over the Globe’s more recent performance of Twelfth Night and Shakespeare’s original written version, I realized that there are many ways that this famous piece has been portrayed and each has its own pros and cons.…

    • 953 Words
    • 4 Pages
    Good Essays
  • Good Essays

    He then got those figures and multiplied it by 50 to make 360. He then realised that the circumference of the Earth was from Syene to Alexandria multiplied by 50. To find out that distance he got a slave to pace out the distance between the two cities. The slave came back and told him 5,000 stadia (1 stadia = 157.5m) so that meant that the circumference of the Earth was 250 000 stadia (39 375km). However it wasn’t until 1700 that it was actually accepted that the Earth was round. Eratosthenes was less than 2% of the accurate…

    • 475 Words
    • 2 Pages
    Good Essays
  • Better Essays

    Mathematical Happening

    • 775 Words
    • 3 Pages

    Greek mathematicians from the 7th Century BC, such as Pythagoras and Euclid are the reasons for our fundamental understanding of mathematic science today. Adopting elements of mathematics from both the Egyptians and the Babylonians while researching and added their own works has lead to important theories and formulas used for all modern mathematics and science.…

    • 775 Words
    • 3 Pages
    Better Essays
  • Good Essays

    Mathematics and Mayans

    • 1027 Words
    • 5 Pages

    Ancient Greek mathematics has been developed since the early seventh century B.C. which could also be called the period during the Hellenistic Mathematics. Some of the greatest Ancient Greek mathematicians were Pythagoras, Aristotle, Anaxagoras, Euclid, Archimedes, Thales, and Aristarchus. These Greek mathematicians were big on the development of geometry which is a subdivision of math that focuses on shapes, size, and the relativity of space. Although their number system was based on letters of the alphabet and used units of five and ten, they therefore were not big on the processes of Algebra. However the Greeks became the masters of calculating solutions concerning volume, lengths and areas using geometric methods and theorems to solve algebraic equations. Despite contributions to modern day arithmetic such as the Pythagorean Theorem and Euclidian Geometry the Greeks were missing one essential part of math, one number that modern day civilization mathematics would not be able to function without. The Mayans included this number in their mathematic…

    • 1027 Words
    • 5 Pages
    Good Essays
  • Good Essays

    John Wallis

    • 3283 Words
    • 14 Pages

    John Wallis was born November 23, 1616 and lived till the old age of 87 until October 28, 1703 where he passed away in Oxford. He was born of Reverend John Wallis and Joanna Chapman in Ashford, Kent, England (O'Connor & Robertson, 2002). He was the third of five children in his English family, unfortunately losing his father at the very young age of 6. Wallis is known for introducing series systematically in his work and paving the way for his great contemporary, Isaac Newton (Eves, 1990, p.392-393). Wallis is most famous for his book, Arithmetica Infinitorum, development of infinitesimal calculus, and introducing the symbol for infinity. John Wallis “was one of the most ablest and most original mathematicians of his day,” (Eves, 1990, p.392). He was “probably the second most important English mathematician during the 17th century,” (Westfall, 1995). John Wallis made many contributions to the mathematical world as well as lived a very fulfilling life.…

    • 3283 Words
    • 14 Pages
    Good Essays
  • Good Essays

    Over the past decade, the rise in gun violence has become a major problem and topic of Gun Control has been a major subject of debates in the political world with great support on both sides. I am writing this as person who believes that the citizens of this country have the right to own a firearm, but I feel that there should be some control over the ownership and selling of these deadly devices. When the topic of gun control is brought into a discussion the first thing people think is that the government is coming and is going to take away their guns or their rights and freedom to own a gun. This idea would be true if the government outlawed firearms, but gun control is just the implantation of regulations on the selling, owning, and use of firearms. I hope that this letter can inform our community of this issue of…

    • 671 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Mandalas In Judaism

    • 795 Words
    • 4 Pages

    Circles are continuous and used to show unity. The theologian Cardinal Nicholas of Cusa though the best way to represent divine things was through math, so he used geometry to try to explain the physical world compared to the diving…

    • 795 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Identify some situations in your life that are problematic; ones that are not going as well as you think they should. Write them as a questions. Be specific in how you describe them. Don’t just say, “How can I get along with my friends?” Focus it. “How can I best deal with Arthur when I feel him pressuring me to do X and I really don’t think I should be doing X?” Write a list of some further questions you should be asking about those situations.…

    • 1827 Words
    • 8 Pages
    Good Essays
  • Good Essays

    The thing that Pythagoras is probably the most famous for is the Pythagorean Theorem. The Pythagorean Theorem is used in the field of mathematics and it states the following: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. This means that if one makes a square (with all sides equal in length) out of a triangle with a right angle, the areas of the squares made from the two shorter sides, when added together, equal the area of the square made from the long side. Another geometrical discovery made by Pythagoras is that the diagonal of a square is not a rational multiple of its side. The latter discovery proved the existence of irrational numbers and therefore changed the entire Greek mathematical belief that whole numbers and their ratios could account for geometrical properties. He also discovered a formula to find out how many degrees there are in a polygon. Pythagoras came up with (n-2)180°= the number of degrees in a polygon, where (n) represents the number of sides in the polygon. For example, a triangle has three sides, 3-2=1, 1x180=180, which is the total sum of all the inner angles of a triangle. Along with that he found out that the sum of all the outer angles of a polygon is always equal to three hundred sixty degrees. This is true for every single polygon, regardless of the number of the sides.…

    • 750 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Pythagoras

    • 543 Words
    • 2 Pages

    At age 52, while living in Croton, Italy, Pythagoras established the Pythagorean society. It was through this society and his positions in local government that Pythagoras recruited men and women in order to lead them to the pure life with his spiritual and mathematical teachings. Pythagoras believed that number was limiting and gave shape to all matter and he impressed this upon his followers (Gale, 1998). During his time leading the Pythagoreans, Pythagoras not only proved the Pythagorean Theorem, but also made other mathematical contributions. One of those contributions was that a number is an abstract entity, separable from all specifics. He also discovered that the sum of the angles in a triangle is equal to two right angles. While Pythagoras himself provided the world with mathematical insight, his followers also helped to advance mathematics. One follower in particular, Hippasus,…

    • 543 Words
    • 2 Pages
    Good Essays