Preview

Pythagoras Research Paper

Good Essays
Open Document
Open Document
648 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Pythagoras Research Paper
Pythagoras of Samos

Many of Pythagoras math discoveries are unknown since the Greeks, during this time , did not believe in the usage of putting knowledge into books, secrecy was a significant factor to the Greeks. Although Pythagoras writings were not inscribed onto paper, his biography was recorded by other men on account of Pythagoras was viewed as a god-like figure in the eyes of many Greeks. However, the biography of Pythagoras is still very inaccurate the dates and facts of his life, amongst many recorded biographies, have difference in the years of Pythagoras life.

It has been known from many of the biographies that Pythagoras was born in Samos and had a really close relationship with his father whom he traveled a lot with. It is
…show more content…
The most key factor of this theorem is the principle that the when the sum of the two legs of a triangle added up, they are equal to the hypotenuse, longest side, of the right angled triangle. Meaning that whatever the numbers are on the legs of a triangle the sum will always give you the length of the third side of a triangle. In addition, to this theorem Pythagoras also discovered that a square is made of two triangles in which lead him to the discovery of three regular solids. The most common usage of a pythagorean theorem is the following problem: If a right triangle has a leg with the length of three centimeters and the other with the length of four centimeters what is the hypotenuse? By now the answer should be common knowledge since it is the three, four, five rule of Pythagorean Theorem. The logic behind it is very simple, Pythagoras formulated the formula a^2 + b^2=c^2, in which case the c variable will always the the hypotenuse of a triangle and the a and b variables can be either or leg. The most challenging step of the process would be locating correctly each of the legs and plugging in the variable for the equation. In this case the leg could be a= 3, b=4 and c=?. So we plug into the formula 3^2 + 4^2= c^2 , the next process would be to square root the numbers. The formula would now look like this: 9+16= c^2. Next would be to add the numbers so the sum

You May Also Find These Documents Helpful

  • Good Essays

    MTH240 week 2

    • 460 Words
    • 2 Pages

    The equation is derived from the Pythagorean Theorem, . Side a and side b are the short sides of a right triangle. Side c is the long side.…

    • 460 Words
    • 2 Pages
    Good Essays
  • Good Essays

    This fifth and final week deals with the Pythagorean Quadratic. It comes from page 371 of the text as a matter of fact. It is number 98. The name of this particular problem is Buried treasure. The two key figures of the problem are Ahmed and Vanessa. The backdrop of this story is that they are searching for buried treasure and they each have half 0f he treasure map.…

    • 418 Words
    • 2 Pages
    Good Essays
  • Satisfactory Essays

    MAT117 Week 6 DQ 2

    • 1825 Words
    • 6 Pages

    Well other than the way its listed in the text the way that the pythagorean theorem can be used any time is when we have a right triangle, we know the length of two sides, and we want to find the third side. A basic example I would like to use is the following which is I was in Walmart the other day and saw a nice entertainment center on sale at a good price. The space for the TV set measured 17" x 21". I didn't want to take the time to go home to measure my TV set, or get the cabinet home only to find that it was too small. I knew my TV set had a 27" screen, and TV screens are measured on the diagonal. To figure out whether my TV would fit, I calculated the diagonal of the TV space in the entertainment center using the Pythagorean theorem: 172 + 212 = 289 + 441 = 730 So the diagonal of the entertainment center is the square root of 730, which is about 27.02". From figuring that out i saw that my tv should fit, but the 27" diagonal on the TV set measures the screen only, not the housing, speakers and control buttons. These extend the TV set's diagonal several inches, so I figured that my TV would not fit in the cabinet. When I got home, I measured my TV set and found that the entire set was 21" x 27.5", so it was a good decision not to buy the entertainment center.…

    • 1825 Words
    • 6 Pages
    Satisfactory Essays
  • Satisfactory Essays

    (Page­ 435) Converse of the Pythagorean Theorem If the square of the length of the longest side of a triangle (hypotenuse) is equal to the sum of the squares of the lengths of the other two sides (legs), then the triangle is a right triangle, also the measure of angle C (right across from the side length C) is 90°. (Page­ 441) Theorem 7.3 If the square of the length of the longest side of a triangle (hypotenuse) is less then the sum of the squares of the the lengths of the other 2 sides (legs), the the triangle is an acute triangle, also the measure of angle C (right across from the side length C) is less then 90°. (C squared > A squared + B squared)…

    • 895 Words
    • 7 Pages
    Satisfactory Essays
  • Good Essays

    The Pythagorean Theorem lets you use find the shortest path distance between orthogonal directions. So it’s not really about right triangles — it’s about comparing “things” moving at right angles.…

    • 348 Words
    • 2 Pages
    Good Essays
  • Good Essays

    The Pythagorean theorem is a statement about triangles containing a right angle. A right triangle is a triangle with a ninety-degree angle. With the Pythagorean theorem, you take a triangle with a right angle and make a square on each of the three sides; the biggest square has the exact same area as the two other squares put together.…

    • 392 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Within Babylon, individuals kept information on clay tablets which meant that more of their work survived to be studied. From this, there is much more that is known about their mathematic capabilities,…

    • 420 Words
    • 2 Pages
    Good 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
  • Powerful Essays

    Hum Project

    • 872 Words
    • 4 Pages

    Pythagoras was born in 570 BCE in Samon, Ionia, and died 500-490 BCE. He was a Greek mathematician and philosopher who is greatly known for his creation of the Pythagorean theorem. His principles influenced the work of Aristotle and Plato. Pythagoras migrated to…

    • 872 Words
    • 4 Pages
    Powerful Essays
  • Good Essays

    Pythagoras considered himself a philosopher, not a mathematician, for which he is widely known. His teachings taught of a belief in a cycle of rebirth. He believed that souls could be reborn into animals, but no signs have pointed to a belief that humans could be reborn into plants. To escape this cycle, one was encouraged to live to high moral standards. For as much as he claimed himself a philosopher though, he largely based the life of his followers around mathematics. Followers of his swore oaths based on the sum of ( 1+2+3+4) . He is remembered most nowadays for the Pythagorean Theorem, the idea that the square…

    • 374 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Polycrates

    • 1065 Words
    • 3 Pages

    Polycrates ruled over the Greek island Samos, situated just off the Asian coast, from the years 538BC-522BC. He began his rise to power in 538BC when him and his 2 brothers Pantagnostus, and Syloson executed a sudden, illegal overthrow of the current ruler. Supported by citizens under Polycrates, Pantagnostus, and Syloson that could afford armour recaptured Samos from the Achaemenid empire. But Polycrates was not content with ruling with others, not even his own brothers, so during a festival celebrating the Greek goddess Hera, he had Pantagnostus executed and Syloson exiled from Samos, who then relocated to Persia. From that moment on, Polycrates was the sole tyrant of his land. Though he had eliminated his two brothers from power, he is considered a popular ruler and did not have to change Samos’ constitution to successfully rule the land. But members loyal to the old aristocracy left Samos voluntarily or were exiled after his reign began as they were unhappy with how he came to power and the way he was ruling. One of these members, Pythagoras, is a Greek philosopher famous to this day.…

    • 1065 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Greeks such as Socrates, Plato, and Aristotle created mathematics and geometry. These discoveries are incorporated in almost everything we use today for example, how something is made or how we cook.…

    • 1628 Words
    • 7 Pages
    Good Essays
  • Good Essays

    Paper On Pythagoros

    • 291 Words
    • 2 Pages

    Pythagoras of Samos, or simply Pythagoras is an iconic Greek philosopher and Mathematician, who is mostly known as the founder of the Pythogoreansim movement. Pythagoras was raised in the island of Samos located off the coast of turkey but later had moved to Croton, a city in southern Italy, where he accomplished most of his philosophical work. Pythagoras was a man of many interests, he enjoyed mathematics, philosophy, astronomy, and music. And while today he is known as a mathematician, in his own day he was known as (Stanford Encyclopedia of Philosophy, 2005).…

    • 291 Words
    • 2 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

    • 824 Words
    • 3 Pages

    Born on the island of Samos, off Greece, in the Mediterranean Sea, Pythagoras was the son of Mnesarchus. Little is known about his early life. After studying in Greece, he fled to southern Italy to escape the harsh rule of Polycrates (died c. 522 B.C.E. ), who came to power about 538 B.C.E. Pythagoras is said to have traveled to Egypt and Babylon during this time.…

    • 824 Words
    • 3 Pages
    Good Essays