Pythagorean theorem

“Sophie Germain’s Theorem can be applied for many prime exponents, by producing a valid auxiliary prime, to eliminate the existence of solutions to the Fermat equation involving numbers not divisible by the exponent p” (Laubenbacher and Pengelley, 9). Legendre later used Germain’s findings in a supplement to the second edition of his book, Essai sur le Théorie des Nombres (O’Connor and Robertson). The Institut de France awarded Germain a medal for her work on Fermat’s Last Theorem and Germain…

Kenneth Arrow Kenneth J. Arrow was born in New York city August 23, 1921. Growing up in the Great Depression he was very partial to the thought of socialism. This factor was a huge part in his life because it would keep his views toward left sensibility.He received his undergraduate at the City College of New York. He would graduate from there with a degree in Science in Social Sciences, but a major in mathematics. From here kenneth was able to really begin his journey into the…

Modigliani and Miller (1958) provided a new theory of capital structure, suggesting that a firm’s choice between debt and equity has no impact on the firm’s value. This became known as irrelevance theorem. However, this theory is surrounded by a number of assumptions that can be analyzed in turn. The first assumption from Modigliani and Miller (1958) is that firms operate within a perfect capital market. The perfect capital market is defined by Fabozzi, Neave and Zhou (2012, p 87). Firstly,…

he was within fifteen percent of the exact distance. In addition to math and astronomy, Pythagoreans specialized in music. They viewed it as a part of their religious life, so it was more than just entertainment for them. Stringed instruments were said to promote excellent health and good luck. Specific instruments, such as wind instruments, were seen as harmful to the soul so they were not used by Pythagoreans. Pythagoras…

He also invented one of the most important mathematical theories to this day: The Pythagorean Theorem. One of his smaller, but also important, theories was that the sum of the internal angles of a triangle equals two right angles. His Pythagorean Theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides. Pythagoras was able to come up with said…

Pythagoras High school is the cause of a great deal of stress among teenagers. Between balancing class and a social life, high school challenges teens to push themselves to their mental and emotional limits. Some classes result in a greater amount of stress, and homework, for students, such as chemistry or math. In fact, math is often considered the bane of the average high school students’ existence. This cursed class has its origins back in ancient times. In fact, the mathematician who is…

example, Pythagoras was a man of math, science and philosophy. Pythagoras never wrote about the contributions he has made in mathematics but his students, known as Pythagoreans, gave him credit for all his accomplishments. The biggest contribution of Pythagoras is the Pythagorean Theorem; this is important because the Pythagorean Theorem is still taught in most math classes today. He also made discoveries such as: the five regular solids, construction of given areas and geometrical algebra.…

there he studied law in Crete and later opened his own school in Croton. This school prospered and here he gained many students and followers. He developed many math and musical theories at this school and even created a philosophical group called Pythagoreans. At this school it is said to have been the first to use the words mathematics and…

Pythagoras was most likely one of the most influential mathematicians that helped shape the way that people see shapes today. Through his experiences within his childhood and his practices through adulthood, he helped reform math through the “Pythagorean Theorem”. Through childhood, Pythagoras was born to a merchant (by the name of Mnesarchus) who happened to be from Tyre. Pythagoras studied under a diversity of teachers as a child. He was born in Eastern Aegon of Samos, Greece, a place where…

angle at the corner of a pyramid, temple, or building. This simple implicated construction had shown they had an understanding of the Pythagorean relationship of right triangles. The Egyptians knew that a triangle with sides of length 3,4, and 5 have to contain a right angle. Even though this is a glimpse into an important theorem known as the Pythagorean theorem, they did have insight into the geometry of 3-4-5 right triangles, but it is doubtful they had a broader understanding of other…