Pythagorean theorem Essays

has been alleged that the Maya long count calendar is based on the idea of a 3-4-5 right angle triangle, and involves extending the Pythagorean Theorem to a power of 3, instead of 2. The start date on their calendar, by the reckoning of modern archaeologists, is August 11 of 3114 BC, thus predating Pythagoras. The expression obtained by raising the Pythagorean Theorem to the power of 3 is as such: , where the dash in indicates the position in the sequence. The given expression describes the relationship

greek island in 570 BC. Pythagoras was known to be married with one son, named Telauges, and three daughters named Damo, Arignote, and Myia. Pythagoras is well know accomplishment is that he had proved what is known today as The Pythagorean Theorem. The Pythagorean Theorem basically states that the sum

​Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are two legs of a right triangle and c is the hypotenuse, the longest side of the triangle. This 1-inch long, simple, yet eloquent equation contains a beauty, a magic that is unnoticeable at first glance; I have been introduced to this beauty by Dartmouth alumni Professor Strogatz at an Engineering Diversity Weekend program last September. As I finished my breakfast, I had the opportunity to join the campus tour or attend a mock math class, named

Pythagoras of Samos, also known as the creator of the Pythagorean theorem, was born in Samos, Greece around 580 B.C. Although few details are known about his early life, he was seen to be one of the earliest and wisest of all ancient Greeks. Pythagoras had a wide range of interest in music, astronomy and mathematics. Greek geometer and philosopher had especially a vast attraction to math, where he thus created the famous Pythagorean theorem. Pythagoras was brought to life throughout the Golden Age

Have you ever thought you were a failure, when you exceed expectations? Have you ever succeeded in that which you felt you would fail? This verse from The Dhammapada demonstrates that it is foolish to expect yourself to be wise when you do not know you will be for certain. "The fool who knows his foolishness, is wise at least so far. But a fool who thinks himself wise, he is called a fool indeed." When I was in middle school, there were two tests in three days. The experience I had with another student

standard of ethics in medicinal practice was upheld and continued to the present day. Secondly, Pythagoras created one of the most widely used theorems, the Pythagorean Theorem, in which the relationship of the sides of a right angle triangle are calculated in the form a2 + b2 = c2. This was a major contribution to our modern society as the Pythagorean Theorem is still in use today in mathematics, and is one of the major aspects of Euclidean geometry. Finally, Euclid was a contributor modern understanding

Introduction A Pythagorean triple is an ordered triplet of positive integers (a,b,c) such that: a^2+b^2=c^2. It is evident that such integers correspond to the sides of a right triangle, a, b being the catheti (legs) and c being the hypotenuse of the triangle. The most well known Pythagorean triple is 3,4,5. As early as in the 8th grade I started feeling that knowing at least a few commonly used Pythagorean triples allows solving various geometry problems with a bigger ease. For example, it

Introduction Leonhard Euler is one of the great mathematicians, who made many remarkable contributions to mathematics. I got to know him when I was learning natural logarithm in math class, which is one of his achievements. He discovered many theorems including polyhedron formula, which states that the number of any polyhedron together with the number of vertices is two more than the number of edges (Kirk, 2007). This formula is widely used in mathematical practice and in real life as well. As polyhedron

The Canon of Medicine is an encyclopedia of five volumes revolving around the topic of medicine, which was completed in 1025. The Canon consisted of all medical knowledge up until that time. However, he also combined his own medical observation that had never been documented before. The Canon was originally written in Arabic, however it was then translated to a series of languages including Persia, English, Chinese, Latin and Hebrew. These translations had further added to its exposure, resulting

Pi: The Transcendental Number The Greek symbol ԉ is used to denote an important mathematical constant. Simply put, it is the ratio of the circumference of a circle to its diameter. This ratio has been found to be constant, no matter what the size of the circle. Pi is an Irrational Number, which means that it can’t be written as a fraction. It is an unending decimal number. The number 2/7, when written in the decimal form is also unending. But after 6 digits, it repeats itself. It is 0.285714285714285714…

In the story Flatland: A Romance of Many Dimensions, written by Edwin A. Abbott, there are many dimensions in which the main character, A. Square travels. Throughout the traveling of this square, we learn about how many of the different societies function and how they respond. Many of these events as mentioned in Flatland, still occur today or have occurred in the past. Some of these parallel events between our society and the ones mentioned in Flatland often revolve around religion or beliefs. This

Abstract: This paper is a report about the ancient Egyptians mathematics. The report discusses the unique counting system and notation of the ancient Egyptians, and their hieroglyphics. One of the unique aspects of the mathematics is the usage of “base fractions”. The arithmetic of the Egyptians is also discussed, and how it compares to our current methods of arithmetic. Finally, the geometrical ideas possessed by the Egyptians are discussed, as well as how they used those ideas. Introduction

Do you know what culture used Geometry? Well, geometry was used in every single culture, but sometimes geometry was use differently. For example, Ancient Babylonians used geometry 's calculations to track Jupiter in the night sky, and the ancient Egyptians used geometry to help them build their pyramids the right way. Those are just two examples, geometry is used very differently around the world. There wasn 't just one person who invented geometry because every culture had someone who discovered

Mathematics was a very important part of Greek culture. Many mathematicians such as Euclid and Thales Milisious used their discoveries and theories to shape present day math. In Document 1 there is a quote from Euclid 's elements that says “Proposition 15, THEOREM: If two

Some roulette players use a sequenced betting system. The set of numbers in the sequence determines the size of the bet in a system known as the Fibonacci roulette betting system. As you might have noticed, the name is taken from one of the greatest mathematicians of the Middle Ages. That's because this betting system is actually based on his homonymous number sequence—the Fibonacci numbers. A Bit of History Leonardo Fibonacci, also known as Leonardo of Pisa, presented to the world a sequence

Activity 21 emphasizes the different classifications of triangles. Triangles are three-sided polygons classified by the length of each side and the measurement of each angle. An Equilateral triangle has sides that are all the same length. Isosceles triangles have at least two congruent sides. The length of the sides of a Scalene triangle are incongruent. A Right triangle has one ninety-degree angle and two forty-five degree angles to equal one hundred and eighty degrees. An Acute triangle has three

Phase III My polygon is a trapezoid.The perimeter is B+A+C+C.This trapezoid represents my planet's shape and size.Also the way to find the perimeter of my planet is,A=3 B=4 C=5.First you would do 3A+5C.Then you would do 5C+4B because you had to use two C’S to complete the shape.Then you would do 8+9 because when you do the math you do 3+5=8.Then 5+4=9.Then you would do 8+9=17km. Some facts on my planet BOB are.There is the same amount of gravity,water (75%),land/grass,and living organisms.On planet

by $p(x, y) = \max\{x, y\}$ for all $x, y \in X$ then ${CB}^p(X)=\emptyset$ and the approach used in Theorem \ref{THM201} and elsewhere has a disadvantage that the fixed point theorems for self-mappings may not be derived from it, when ${CB}^p(X)=\emptyset$. To overcome from this problem he introduced the concept of mixed multi-valued mappings and obtained a different version of Nadler's theorem in a partial metric spaces. \begin{definition} Let $(X, p)$ be a partial metric space. A mapping $T

ROUGH DRAFT Once upon a time there was a 13 year old boy named jack. he did not like bullying anywhere and anytime. he saw bullying happening so he took action. The next day at school he created a anti-bullying program for kids who been bullied or kids who see bullying that want to stop bullying. That day Jack’s girlfriend helped him get more people to join. She gave jack 5 people that wanted to help stop bullying. Everyday jack and julie had a meeting with the group to either to put posters

Cooperative Principles Violation In Romeo and Juliet Abstract: To some extent, language is actually a kind of art. A speaker of the language may quite often convey much more than what he literally says. The essence lies in how we understand and appreciate their language. Luckily, the Cooperative Principle (CP) is proposed, so the CP and the violation of CP enable us to interpret many efficient ways of language using and understanding in literature and daily life. As we all know, the literary