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Pythagorean Theorem We all learned the Pythagorean theorem in math class, a2 + b2=c2, but not many people know what it means and why is it important. The Pythagorean theorem is one of the most important theorems in math because it can be applied to multiple subjects. The Pythagorean theorem can be used in algebra, geometry, trigonometry and many other math subjects. The Pythagorean theorem is one of the oldest theorems in math. It has been used for thousands of years, dating back to 500 B.C. The Pythagorean theorem is unique because it has many different proofs and it can be applied to many different subjects. The Pythagorean theorem was discovered by Pythagoras. Pythagoras was from Ancient Greece and he was a Greek philosopher and mathematician. Pythagoras was interested in many things, mathematics, philosophy, astronomy and music. Thales, who was a Greek philosopher and mathematician, influenced him. It is believed that Pythagoras discovered the Pythagorean theorem on his travels to Babylon and India. The Pythagoreans were students of Pythagoras. He taught them about philosophy, mathematics, religion, music and many other things. The Pythagoreans took up his work because Pythagoras was very smart and had many revolutionary ideas. The spiral of Theodorus is a spiral created with continuous right triangles. Theodorus was a Greek mathematician, who is most known for the spiral of Theodorus. The spiral of Theodorus was created using the Pythagorean theorem. The Pythagorean theorem was used because each triangle of the spiral is a right triangle and the Pythagorean theorem is needed to calculate the length of the hypotenuse. The Pythagorean theorem is used in many different ways today besides math class. The Pythagorean theorem is used in architecture and construction, navigation, earthquake location and crime scene investigation. I created my Pythagorean

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## Pythagoras Theorem Essay

254 Words | 2 Pages570 BC—ca. 495 BC), who by tradition is credited with its proof,[2][3] although it is often argued that knowledge of the theorem predates him. There is evidence that Babylonian mathematicians understood the formula, although there is little surviving evidence that they used it in a mathematical framework. [4][5] The theorem has numerous proofs, possibly the most of any mathematical theorem. These are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.

## Fermat's Last

1737 Words | 7 PagesOther examples that they recorded included $13^2=5^2+12^2$ and even $8161^2=4961^2+6480^2$. One of the great intellectual masterpieces of the ancient Greek world was Diophantus' {\sl Arithmetic}. This work, available in Latin translation in the seveteenth century, was an important inspiration for the scientific renaissance of that period, read by Fermat, Descartes, Newton and others. Fermat, a jurist from Toulouse, studied mathematics as a hobby. He didn't formally publish his work but rather disseminated his ideas in letters, challenging

## Descartes & Rohr Paradigm

6126 Words | 25 PagesBut the most important contribution Descartes made were his philosophical writings; Descartes, who was convinced that science and mathematics could be used to explain everything in nature, was the first to describe the physical universe in terms of matter and motion, seeing the universe as a giant mathematically designed engine. Descartes wrote three important texts: Discourse on the Method of Rightly Conducting the Reason and Seeking Truth in the Sciences, Meditations on First Philosophy, and Principles of Philosophy. René Descartes had always been a frail individual, and he would usually spend most of his mornings in bed, where he did most of his thinking, fresh from dreams in which he often had his revelations. In his later years, Descartes had to relocate to Sweden to tutor Queen Christina in philosophy.

## Geometry Impact on Sports

1588 Words | 7 PagesGeometry is perhaps the most elementary of the sciences that enable man, by purely intellectual processes, to make predictions (based on observation) about physical world. The power of geometry, in the sense of accuracy and utility of these deductions, is impressive, and has been a powerful motivation for the study of logic in geometry. - H. M. S. Coxeter (1907-2003). Geometry stands for “geo” which means Earth and “metria” which means measure (Greek). Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

## The Development Of Western Civilization: Benefici

542 Words | 3 PagesAlso, the ancient Greeks were credited with many developments that have led to modern day sciences. The deductive reasoning formula they developed proved particularly useful in the later development of the scientific method. The Socratic Method and the idea of Forms led to great advances in Geometry, logic, and natural sciences. Modern day scientific vocabulary and style are directly derived from translations of past scientific writings. Tia 2 During the development of Western Civilization religion was basically polytheistic, the worship of more than one god.

## Brunelleschi Research Paper

306 Words | 2 PagesBrunelleschi and the Origin of Linear Perspective http://www.mcm.edu/academic/galileo/ars/arshtml/arch1.html 1. How did Brunelleschi determine how to create a rational system for depicting space? He used linear perspective which allowed him to be able to create a realistic illusion of the 3 dimensional spaces on a 2 dimensional surface. This made it possible, with the help from mathematics, to represent reality of the artist and the physical reality of nature. He was the first to test out a series of optical experiments that led to his discoveries and findings.

## Solving Quadratic Equations

1029 Words | 5 PagesAs a result of this complicated formula, quadratic equation has made significant breakthroughs in many areas of mathematics and science (Quadratic Equation, 2012). The quadratic equation is a formula that is derived from solving equations that are in the form quadratic (Origins, Derivation, & Applications, 2012). According to Origins, Derivation, & Applications (2012), “A quadratic is an equation in which the degree, or highest exponent, is a square. The degree also describes the number of possible solutions to the equation; therefore, the number of possible solutions for a quadratic is two” (p. 1). An easy way to remember the quadratic equation formula is to sing the formula to the tune of song Pop Goes the Weasel.

## Pythagoras, Pre-Socratic Philosopher

547 Words | 3 PagesPythagoras, Pre-Socratic Philosopher Perry S Morris PHI-105 November-Friday 21, 2014 Nejla Routsong Pythagoras, Pre-Socratic Philosopher Pythagoras was one of the early Greek philosophers. He lived in the 500s BC and had many followers called Pythagoreans. Although few thought Pythagoras descended from the god Apollo, in fact, Pythagoras was a mortal man and who was a citizen of the Greek community in Samos (Moore, Philosophy: the power of ideas, 2010, p. 25). While we do not know a lot about Pythagoras, what we do know is that he created a school of study around mathematics inspired by philosophy. The followers in the school are known as Pythagoreans.

## Newton and Leibniz Calculus

472 Words | 2 PagesAnalyze the major works of Newton and Leibniz relating to their independent formalizations of what we now call calculus. Sir Isaac Newton and Gottfried Leibniz, independently developed and discovered calculus and its foundations. Both were instrumental in its creation, they came up with the central concepts in diverse ways. Newton considered variables changing with time, Leibniz thought of the variables x and y as ranging over sequences of infinitely close values. He introduced dx and dy as modifications between sequential principles of these classifications.

## The History of the Calculus

1035 Words | 5 PagesThe History of the Calculus The Calculus, being a difficult subject requires much more than the intuition and genius of one man. It took the work and ideas of many great men to establish the advanced concepts now known as calculus. The history of the Calculus can be traced back to c. 1820 BC to the Egyptian Moscow papyrus, in which an Egyptian successfully calculated the volume of a pyramidal frustum. [1][2] Calculating volumes and areas, the basic function of integral calculus, can be traced back from the school of Greek mathematics, Eudoxus (c. 408−355 BC) used the method of exhaustion, which prefigures the concept of the limit, to calculate areas and volumes while Archimedes (c. 287−212 BC) developed this idea further, inventing heuristics which resemble integral calculus. [3] The method of exhaustion was later used in China by Liu Hui in the 3rd century AD in order to find the area of a circle.

### Pythagoras Theorem Essay

254 Words | 2 Pages### Fermat's Last

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1588 Words | 7 Pages### The Development Of Western Civilization: Benefici

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1029 Words | 5 Pages### Pythagoras, Pre-Socratic Philosopher

547 Words | 3 Pages### Newton and Leibniz Calculus

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1035 Words | 5 Pages