# Pythagorean theorem Essays & Research Papers

## Best Pythagorean theorem Essays

• Pythagorean Theorem - 620 Words
Pythagorean Theorem Diana Lorance MAT126 Dan Urbanski March 3, 2013 Pythagorean Theorem In this paper we are going to look at a problem that can be seen in the “Projects” section on page 620 of the Math in our World text. The problem discusses Pythagorean triples and asks if you can find more Pythagorean triples than the two that are listed which are (3,4, and 5) and (5,12, and 13) (Bluman, 2012). The Pythagorean theorem states that for any right triangle, the sum of the squares of the...
620 Words | 2 Pages
• Pythagorean Theorem - 2616 Words
PYTHAGOREAN THEOREM More than 4000 years ago, the Babyloneans and the Chinese already knew that a triangle with the sides of 3, 4 and 5 must be a right triangle. They used this knowledge to construct right angles. By dividing a string into twelve equal pieces and then laying it into a triangle so that one side is three, the second side four and the last side five sections long, they could easily construct a right angle. A Greek scholar named Pythagoras, who lived around 500 BC, was also...
2,616 Words | 9 Pages
• Pythagorean Theorem - 769 Words
The assignment for the week is on page 371 number 98. We will be using Pythagorean Theorem, quadratic, zero factor, and compound equation, to solve this equation. We will explain step by step to solve how many paces to reach Castle Rock for Ahmed and Vanessa had to accomplish to meet there goal. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the...
769 Words | 2 Pages
• Pythagorean Theorem - 1149 Words
In mathematics, the Pythagorean theorem — or Pythagoras' theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states: In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the...
1,149 Words | 3 Pages
• ## All Pythagorean theorem Essays

• the pythagorean theorem - 1400 Words
﻿The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy. He is credited with many contributions to mathematics although some of them may have actually been the work of his students. The Pythagorean Theorem is Pythagoras' most famous mathematical contribution. According to...
1,400 Words | 6 Pages
• Pythagorean Theorem and C++ Program
Group 1 Write a C++ program or each of the following problems: 1. Write a C++ program to enter a distance in meters and print out its value in kilometers, yards, and miles. (Note: 1 m = 0.001 km = 1.094 yd = 0.0006215 mi). 2. Write a C++ program to enter length and width of a rectangle, compute and print the area and perimeter of the rectangle. Print both rounded to the nearest tenth of a foot. 3. Write a program to compute the cost for carpeting a room. Input should consist of the room...
631 Words | 3 Pages
• The History of the Pythagorean Theorem - 577 Words
A Brief History of the Pythagorean Theorem Just Who Was This Pythagoras, Anyway? Pythagoras (569-500 B.C.E.) was born on the island of Samos in Greece, and did much traveling through Egypt, learning, among other things, mathematics. Not much more is known of his early years. Pythagoras gained his famous status by founding a group, the Brotherhood of Pythagoreans, which was devoted to the study of mathematics. The group was almost cult-like in that it had symbols, rituals and prayers. In...
577 Words | 2 Pages
• Pythagorean Theorem and Trigonometry - 539 Words
Trigonometry Trigonometry uses the fact that ratios of pairs of sides of triangles are functions of the angles. The basis for mensuration of triangles is the right- angled triangle. The term trigonometry means literally the measurement of triangles. Trigonometry is a branch of mathematics that developed from simple measurements. A theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics, such as Fermat's Last Theorem...
539 Words | 2 Pages
• Pythagorean Theorem: Basic trigonometry
﻿Pythagorean Theorem: Some False Proofs Even smart people make mistakes. Some mistakes are getting published and thus live for posterity to learn from. I'll list below some fallacious proofs of the Pythagorean theorem that I came across. Some times the errors are subtle and involve circular reasoning or fact misinterpretation. On occasion, a glaring error is committed in logic and leaves one wondering how it could have avoided being noticed by the authors and editors. Proof 1 One such error...
1,250 Words | 5 Pages
• Scarecrow's Pythagorean Theorem - 392 Words
THE WIZARD OF OZ 2 The Wizard of Oz Scarecrow’s Speech on Pythagorean Theorem The Pythagorean theorem is one of the earliest theorems known to ancient civilization. The well-known theorem is named after the Greek mathematician and philosopher, Pythagoras. In the Wizard of Oz, after the Scarecrow gets a brain, he states the Pythagorean theorem. However, he mistakenly says it applies to an isosceles triangle when it applies to a right triangle. He not only says the wrong...
392 Words | 2 Pages
• Triangles and Pythagorean Theorem - 2381 Words
4.14 TRIANGLES Triangles are three-sided shapes that lie in one plane. Triangles are a type of polygons. The sum of all the angles in any triangle is 180º. Triangles can be classified according to the size of its angles. Some examples are : Acute Triangles An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below, a, b and c are all acute angles. Sample Problem 1: A triangle has angles 46º, 63º and 71º. What type of triangle is...
2,381 Words | 10 Pages
• Using the Pythagorean Theorem in Everyday Life
How We Use the Pythagorean Theorem in Everyday Life First, let’s discuss the inventor of the theorem before how we use it. Pythagoras of Samos is a very odd fellow but is very well known despite not have written anything in his lifetime so what we know about him comes from Historians and Philosophers. Though we know he was a Greek philosopher and mathematician mainly known for the Pythagorean Theorem that we all learned in 6th grade. (a2 + b2 = c2). His theorem states that that the square of...
531 Words | 2 Pages
• Pythagorean Triples - 417 Words
Pythagorean Triples To begin you must understand the Pythagoras theorem is an equation of a2 + b2 = c2. This simply means that the sum of the areas of the two squares formed along the two small sides of a right angled triangle equals the area of the square formed along the longest. Let a, b, and c be the three sides of a right angled triangle. To define, a right angled triangle is a triangle in which any one of the angles is equal to 90 degrees. The longest side of the right angled...
417 Words | 2 Pages
• Pythagorean Triples - 896 Words
Pythagorean Triples Ashley Walker MAT126 Bridget Simmons November 28, 2011 A Pythagorean triple is a triple of positive integers a, b, and c such that a right triangle exists with legs a, b, and hypotenuse c (Bluman, 2005). A Pythagorean triple is a triple of positive integers (a, b, c) where a2 + b2 = c2. A triple is simply a right triangle whose sides are positive integers. An easy way to generate Pythagorean triples is to multiply any known Pythagorean triple by an integer (any...
896 Words | 4 Pages
• Pythagorean Quadratic - 726 Words
﻿ Pythagorean Quadratic Member MAT 222 Introduction to Algebra Instructor Yvette Gonzalez-Smith August 04, 2013 Pythagorean Quadratic The Pythagorean Theorem is an equation that allows a person to find the length of a side of a right triangle, as long as the length of the other two sides is known. The theorem basically relates the lengths of three sides of any right triangle. The theorem states that the square of the hypotenuse is the sum of the squares...
726 Words | 3 Pages
• Thales' Theorem - 440 Words
Thales’ Theorem Thales’ Theorem simply states that if three points exist within a circle, and one of those points is the diameter of the circle, then the resulting triangle will always be a right triangle. This simple idea can become very useful for certain applications such as, identifying the center of a circle with its converse. On the triangle the vertex of the right angle always terminates at the ends of the diameter line. By locating the two points of the diameter line and drawing a...
440 Words | 1 Page
• Pythagorean Quadratic - 644 Words
Pythagorean Quadratic MAT 221: Introduction to Algebra   Pythagorean Quadratic The Pythagorean Theorem was termed after Pythagoras, who was a well-known Greek philosopher and mathematician, and the Pythagorean Theorem is one of the first theorems identified in ancient civilizations. “The Pythagorean theorem says that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse” (Dugopolski, 2012, p. 366 para. 8). For...
644 Words | 2 Pages
• Fermat's Last Theorem - 3261 Words
PROJECT ABOUT FERMAT'S LAST THEOREM I am going to do my project in the field of number theory. Number theory, a subject with a long and rich history, has become increasingly important because of its application to computer science and cryptography. The core topics of number theory are such as divisibility, highest common factor, primes, factorization, Diophantine equations and so on, among which I chose Diophantine equations as the specific topic I would like to go deep into....
3,261 Words | 9 Pages
• Print 274 Practice Modeling Similarity Theorems
﻿ Print 2.7.4 Practice: Modeling: Similarity Theorems Practice Assignment Geometry Sem 1 (S2758702) Points possible: 20 Date: ____________ YOUR ASSIGNMENT: About Face! Your Peak of Choice Your friend Tyler is preparing to climb a rock face and wants to figure out how far he will need to climb to reach one of three different peaks. You remember a trick you can use to help him out. You realize that if you place a small mirror on the ground and move it to where...
337 Words | 2 Pages
• Project On The History Of Mathematics - 295 Words
Project on the History of Mathematics Projects must address some aspect of the history of mathematics, and all project proposals must be pre­approved by the instructor. We will work on the project for 20­30 minutes at the beginning of class each Wednesday/ Thursday, and you may work on it during any spare time you have during class. The project will be a 2­page minimum paper in MLA format. A grading rubric will be published ...
295 Words | 1 Page
• Pythagoras - 857 Words
Pythagoras Pythagoras must have been one of the world's greatest men. However, he wrote nothing and it is unknown how much of the doctrine of Pythagoras is due to the founder of society and how much is later development. Sometimes he is represented as a man of science, a mathematician, and even as a preacher of mystical doctrines. None of these traditional views, however, should be rejected, for he contributed his genius in each field. Pythagoras lived from about 569 BC to about 475 BC. His...
857 Words | 3 Pages
• Week 4 Assignment - 495 Words
Shuna Tolbert May 6, 2013 Week 4 Assignment Mat126 Instructor Kussiy Alyass Following completion of your readings, complete exercise 4 in the “Projects” section on page 620 of Mathematics in Our World. Make sure you build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this. After building your triples, verify each of them in the Pythagorean Theorem equation. The assignment must include (a) all math work required to answer...
495 Words | 4 Pages
• Algebra 4\ - 460 Words
Algebra Problem Week 5 Joby Weatherwax Introduction to Algebra (MAT 221) Stacie Williams Apr 14, 2013 Algebra Problem Week 5 Buried treasure. Ahmed has half of a treasure map,which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they...
460 Words | 3 Pages
• Hum Project - 872 Words
Research Question: How has the Ancient Greek Philosopher Pythagoras impacted our modern day perception of knowledge, being and conduct in Mathematics? Introduction: The Civilization of Ancient Greece has played a vital role in how our modern world functions. Located on the Balkan Peninsula with the Aegean Sea on its East, the Mediterranean Sea to its South and the Ionian Sea to its West. The Ancient Greeks have helped us to understand topics ranging from art, astronomy, mathematics and...
872 Words | 4 Pages
• MAT117 Week 6 DQ 2
﻿MAT 117 /MAT117 Course Algebra 1B MAT 117 /MAT117 Week 6 Discussion Question Version 8 Week 6 DQ 2 1. Other than those listed in the text, how might the Pythagorean theorem be used in everyday life? 2. Provide examples of each. RESPONSE 1. Other than those listed in the text, how might the Pythagorean theorem be used in everyday life? 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...
1,825 Words | 6 Pages
• Pythagorus - 2200 Words
﻿Country of Origin, a brief history Throughout high school and college, many people may remember hearing the mathematic formula a2 + b2 = c2. Little do they know, this mathematical concept was made thousands of years ago and is still highly used in education and many careers all over the world today. This formula was actually originally created by a Greek mathematician named Pythagoras. The time period in which Pythagoras graced his presence on Earth happened so long ago that research on...
2,200 Words | 7 Pages
• Ghhm - 1451 Words
Japan Temple Geometry Abstract In this science project the problems, which were written at Japanese temple boards are considered. These problems are differing from the European geometry by their solutions. Translated chapters from the book of Fukagawa and Pedoe were devoted to ellipses and n-gons, different combinations of the ellipses, circumferences and quadrilaterals, spheres, spheres and ellipsoids, different...
1,451 Words | 7 Pages
• Pre Algebra Final Exam 1
﻿Score: ______ / ______ Name: ______________________________ Student Number: ______________________ 1. Elsie is making a quilt using quilt blocks like the one in the diagram. a. How many lines of symmetry are there? Type your answer below. There are 4 line of symmetry. b. Does the quilt square have rotational symmetry? If so, what is the angle of rotation? Type your answers below. The quilt square have rotational symmetry of 90. 2. Solve by simulating the problem....
1,202 Words | 7 Pages
• Pythagoras and Number Mysticism - 1662 Words
﻿Mathematics before Christ Math started before Christ was born. Most of the time people use it, but they didn’t notice it. If you count how many sheep you have, that’s math. So when people use math, they didn’t know they were using it. The Romans used Roman Numerals and noticed math. So they know how to use it. That is where numbers got their name. In Babylon and Egypt, the people first started using theoretical tools and numbering systems. The Egyptians used a decadic numbering system, which...
1,662 Words | 5 Pages
• Hypotenuse and Right Triangle - 290 Words
﻿ Quadratic Equations and their Applications A right triangle is a triangle with a 90 degree angle. These types of triangle can be found all around us and we have a handy formula that describes the relationship between all three sides of right triangles, The Pythagorean theorem. This says that for any right triangle that has sides of length a and b, and hypotenuse of length c, the following equation holds: a2+b2=c2. For your initial response: Complete both parts. a) You're locked out...
290 Words | 2 Pages
• Pythagoras - 543 Words
﻿ In today’s world, there are a multitude of mathematical theorems and formulas. One theorem that is particularly renowned is the Pythagorean Theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides of any right triangle. While most people have heard of or even used the Pythagorean Theorem, many know little of the man who proved it. Pythagoras was born in 570 BC in Samos, Greece. His father, Mnesarchus, was a merchant from Tyre who...
543 Words | 2 Pages
• Mathematics Historical Report - Pythagoras
Historical/Cultural Report Famous Mathematician: Pythagoras Introduction: Pythagoras’ Theorem is actively used and is a crucial part of trigonometry in present-day mathematics. Pythagoras, living approximately from 570 – 495BC, in Greece, is believed to have founded the Pythagoras’ Theorem among a cult, which Aristotle believed to be the beginning of an advance in Mathematics. In fact, there is evidence that the theorem had been discovered and used perhaps a thousand years earlier than...
1,688 Words | 7 Pages
• maths SA-1 question paper and answers
﻿MATHS-SA1-TEST1 Q1) Use the following information to answer the next question. The steps for finding the H.C.F. of 2940 and 12348 by Euclid’s division lemma are as follows. 12348 = a × 4 + b a = b × 5 + 0 What are the respective values of a and b? A. 2352 and 588 B. 2940 and 588 C. 2352 and 468 D. 2940 and 468 Answer The steps to find the H.C.F. of 12348 and 2940 are as follows. 12348 = 2940 × 4 + 588 2940 = 588 × 5 + 0 Comparing with the given steps, we obtain a...
2,765 Words | 25 Pages
• Mathematics in India-Past, Present and Future
MATHEMATICS IN INDIA- PAST, PRESENT AND FUTURE Let’s begin with sloka 1.4 of “Sulba sutra” “Deerkha chaturasrasya akshnayarajju: Paarshwamaanee thiryangmaaneecha prithak bhoopathe Kurutha: thadupayam karothee” (The area of square of diagonal of a rectangle is the sum of the area of squares of its adjacent and opposite sides.) Then let’s look at the famous Pythagoras theorem: “The square on the hypotenuse of a right angled triangle is equal to the sum of squares of its sides”...
623 Words | 2 Pages
• Mat 221 Wk 5
Buried treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x - 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x - 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x? Given this scenario the Pythagorean Theorem would be the strategy we use to solve for...
499 Words | 2 Pages
• MTH240 week 2 - 460 Words
﻿ The Distance Formula In week one, we learned a simple yet extremely useful math concept, the Distance Formula. This formula uses the Pythagorean Theorem to determine the distance between two points on the rectangular coordinate system. Variations of the Pythagorean Theorem such as the Distance Formula can be used in building things or making plans to build something. Scenario Suppose you are volunteering at the local community center. The...
460 Words | 2 Pages
• Pythagoras Research Paper - 916 Words
Research Paper: Pythagoras Today, the Pythagorean Theorem is a mathematical idea studied in classrooms all over the world. It was developed hundreds of years ago by Pythagoras, a Greek man, who was not only a mathematician, but a philosopher, a scientist, and a religious leader as well. In his lifetime, Pythagoras discovered and developed many new ways of thinking, and his teachings attracted followers from all over the ancient world. Pythagoras was a brilliant thinker who made many...
916 Words | 3 Pages
• Mathematical Concepts Behind a Wheelchair
De La Salle Health Sciences Institute Math 113 Final Output “THE MATHEMATECAL CONCEPTS BEHIND A WHEELCHAIR” Submitted to: Ms. Mae Salansang Submitted By: Fernandez, Mitzi Joy Herradura, Phyllis Yna Masajo, Queenie Nicole Redoble, Mycah Marie Santos, Jhuneline Tampos, John Pablo BSPT 1 – 4 “THE MATHEMATECAL CONCEPTS BEHIND A WHEELCHAIR” Introduction Wheelchairs come in all shapes and sizes. People who have issues with immobility or decreased sensation frequently...
673 Words | 3 Pages
• Proof and Non-Proof Based Mathematics
A mathematical proof does relate to our ordinary dictionary meaning of “truth”, but it has many more elements to it. The main idea behind the proof is the idea of logic. Math is a science and there is nothing fictional in the logic used to solve problems. Proofs are a way of using that logic to create a path through the maze often presented by mathematical concepts. Because math is so concrete and isn’t influenced by outside factors we can rely on some basic rules and concepts to help navigate...
779 Words | 2 Pages
• Philosophy Annotated Bibliography - 1225 Words
Wallace, Alfred Russel. (1858). On the tendency of varieties to depart indefinitely from the original type. Zoology, 3, 61-64. The author of this article clearly states his purpose of writing within the first few paragraphs: “to show that (the assumption that varieties occurring in a state of nature are … analogous to or even identical with those of domestic animals, and are governed by the same laws as regards their permanence or further variation) is false, that there is a general principle...
1,225 Words | 4 Pages
• Why I Choose to Be a Sociology Major
In comparison to previous topics I’ve studied, sociology better suits what it is I want to do with my life. It has taken me a while to figure what my niche is since I’ve been in college. Before declaring sociology as a major, I was a business major. I have always had a strong interest in business, but as I progressed with the program, it became evident to me that I have no interest in working in corporate America. I realized that I would much rather become and entrepreneur...
303 Words | 2 Pages
• Pythogerm Triples - 8367 Words
Anmol Mehrotra Pythagorean triples Math Bonus A ​ Pythagorean triple​ consists of three positive​ ​ integers​ ​ a​ , ​ b​ , and ​ c​ , such 2​ 2​ 2​ that ​ a​ + ​ b​ = ​ c​ . Such a triple is commonly written (​ a​ , ​ b​ , ​ c​ ), and a well­known example is (3, 4, 5). If (​ a​ , ​ b​ , ​ c​ ) is a Pythagorean triple, then so is (​ ka ​ , ​ kb​ , ​ kc​ ) for any positive integer ​ k​ . A ​ primitive Pythagorean triple​ is one in which ​ a​ , ​...
8,367 Words | 117 Pages
• Analysis of Babylonian Mathematics - 1746 Words
As students, we are taught the basics about mathematics. What the core properties of addition, subtraction, multiplication and division mean. How they work, and if we are lucky, we go into a little history of these methods. For those of us who have learned history, we learned that the basis for modern mathematics came from the Greeks and their writings. While this is correct, to truly understand the historical aspect of mathematics and its origins, one must study a time before the Greeks, when...
1,746 Words | 5 Pages
• Introduction to Strutural Mechanics - 48276 Words
Introduction to Structural Mechanics 1-1 Introduction In an effort to compete with film and TV, theatrical stage scenery has been growing larger, more complicated and more ambitions year after year. This trend began with Broadway shows such as Les Misérables and The Phantom of the Opera and continues today. This trend has been expanding from the commercial markets to regional theatres across the country. In order to meet the needs of these large scale and often non-traditional physical...
48,276 Words | 194 Pages
• Short Essay: Pre- Socratic Philosopher- Pythagoras
Short Essay: Pre- Socratic Philosopher- Pythagoras Introduction Pre-Socratic philosophers are Greek thinkers of the 5th and 6th century who first explored the world and the position man hold in it. They were attributed as the first scientists and philosophers of the Western tradition. The Pre-Socratic philosophers made tremendous developments in philosophy, art, and science. Besides, they explored the nature in a rational way, making educated guesses about how the universe, the earth,...
704 Words | 3 Pages
• Preethi - 454 Words
Chemistry : 1. Aluminium hydroxide on thermal decomposition gives aluminium oxide and water 2. Iron (iii) oxide reacts with carbon forming iron and carbonmonoxide 3. Hydrogen peroxide reacts with lead sulphide forming lead sulphate and water 4. Lithium reacts with nitrogen forming lithium nitride 5. Nickel sulphate reacts with sodium phosphate to form nickel phosphate and sodium sulphate 6. Silver oxide reacts with hydrogen peroxide to form silver , water and oxygen...
454 Words | 2 Pages
• Tok Essay - Ethics and Math
10. 'Through different methods of justification, we can reach conclusions in ethics that are as well-supported as those provided in mathematics.' To what extent would you agree? One could argue that mathematics and ethics are the underlying essentials above which our society has based itself. Scores of cities have built their infrastructures using measurements and methods founded in mathematics. Our inherent ethical natures have catalyzed the great minds from ancient civilizations to create...
1,695 Words | 5 Pages
• Math Investigation - 723 Words
MATH INVESTIGATION 4.2 FACTORIZATIONS on the Math Investigator determines if a number is prime or composite. If a number is composite, it prints all its factors, the number of factors, and its prime factorization. The numbers 1, 2, 4, and 6 have 1, 2, 3, and 4 factors, respectively: 1 has only 1 as a factor; 2 has 1 and 2 as factors; 4 has 1, 2, and 4 as factors; and 6 has 1, 2, 3, and 6 as factors. These factors are illustrated by the rectangles shown here. Starting Points for...
723 Words | 3 Pages
• Ancient Greek Science and Astronomy
The Ancient Greek culture has had such an impact on the world that no matter where you look you're sure to find something Greek about it. Out of all the areas that the Greek culture is famous for there are two that tend to exert themselves into our own culture even today. That would be their Science and Astronomy fields. If one were to look up in a library books about ancient Greek science and astronomy they would have a mountain of books to sift through. There seem to be so many...
2,195 Words | 6 Pages
• Assessing Maths Assignment - 662 Words
﻿Access Diploma in Adult Learning Assessing Maths Assignment Landscaping a Garden I've been asked me to cost his landscaping project for him using the prices quoted by a local supplier, and to give him a full breakdown of the calculations required and how I arrived at the final cost. Plan I plan to do this firstly by breaking up the garden plan into 5 sections. 1. Decking and border. 2. Flowerbed and crazy paving 3. Fish pond, safety fence, bridge and rail 4. Perimeter fence 5....
662 Words | 3 Pages
• Heraclitus - 976 Words
Daniel Ann World History Core 2 School of Athens The one of the Renaissance’s greatest master painter, Raphael was the one who created the masterpiece, ‘The school of Athens’. It was a great fresco that was painted between from 1510 to 1511. The painting contained famous professionals such as mathematician, philosopher, scientist, and many other professionals including Raphael himself. Raphael of course admired all the people in the painting that he drew himself. For me when I see the...
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976 Words | 3 Pages
• The Classical World - 557 Words
The Classical World The Classical World made many contributions to the development of science, literature, and ethics. These contributions have influenced the modern world today. Many mathematicians, astronomers, and scientists contributed to the development of many of the luxuries we enjoy today. Homer, author of The Iliad and The Odyssey, made contributions to the field of literature through his writing. In the field of ethics, many philosophers from the Classical World contributed to...
557 Words | 2 Pages
• MAT 221 WK 5 ASSIGNMENT
Buried Treasure MAT 221 Instructor Date Buried Treasure In this essay of Buried Treasure we will use many different ways to attempt to factor down three expressions problems. Our first problem from our reading talks about Ahmed and Vanessa, Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. The other half of the map is in Vanessa possession and her half indicates that to find the...
1,108 Words | 3 Pages
• Final Project: Justice System Position Paper
. Exercise: Week Six Concept Check The theorem works In any right triangle. A key observation is that a and b are at right angles. Movement in one direction has no impact on the other. The Pythagorean Theorem can be used with any shape and for any formula that squares a number. 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....
383 Words | 1 Page
• Chemistry Lab Paper - 976 Words
Introduction and Theory: A two dimensional object is a figure that has both width and height. Today in physics a two dimensional lab was done to decide the distance of an ice cream cone shooter. To do this, the formula (d=Ví t + (1/2) at^2) has to be implemented. I decided to make my Y equal to one meter, so my calculations would be easy to get. I knew my acceleration for Y was -9.8, the velocity initial for Y was zero, and the time it will take for the ice cream to reach zero is .452. For X I...
976 Words | 3 Pages
• Neolithic Revolution and the Renaissance Effects on History
The Neolithic Revolution and the Renaissance provided mankind with new ways of life. Although these advancements in architecture, agriculture, education and ideas transpired in different periods of history, they both had massive effects on our way of life today. Without these revolutions, our lives today would be unrecognizable. Life was drastically different before the Neolithic Revolution. During the Paleolithic Period, people were nomads. They lived in groups of 20-30, and survived...
444 Words | 2 Pages
• Biography of the greek mathematician Pythagoras
Pythagoras Pythagoras was a Greek philosopher and mathematician. He was born in Samos, Ionia around 580 b.c. Thales, who was another philosopher was the main teacher of Pythagoras. Pythagoras went to study further in Egypt so Thales couldn't teach him anymore. In Pythagoras' teenage years, he began to become known for his philosophic ideas. He also succeeded in math, astronomy, wrestling, and music. In music, he figured out that when a string is vibrating, the longer or shorter it is makes a...
350 Words | 2 Pages
• To Study - 444 Words
Geometry in Real Life To become familiar with the fact that geometry (similar triangles) can be Description In this project I tried to find situations in daily life where geometrical notions can be effectively used, I selected the following examples: 2. To find height of a tower 1. To find the width of a river iC BS E .co used in real life to find height of certain things and width of many others. m Objective iC BS E.c om To find the width of a river Walked along...
444 Words | 5 Pages
• mathematics in day today life
;- "All men by nature, desire to know."l tllroughtout history the need to know has been a prime source of I governing mens actions. This need has founded civilizations, it has started wars, and it has led man to his ultimate control of his environment 1 I shall examine the causes and developments of mathematics. Starting with early Egypt and Babylon, then on to classical Greece, and finally the 17th century through modern times; I will trace the need and development of mathematics....
2,017 Words | 8 Pages
• the life of pythagoras - 402 Words
Daren Greer Honors Algebra 2 5th hour 5/12/2013 The Life of Pythagoras Pythagoras lived around 570-495 B.C.. He was born on the island of Samos, a greek island in the aegean sea.His father, Mnesarchus, was a gem engraver, and his mother, Pythias, is unknown . Due to the fact that most of his life was wrote about many years after his death most of the information is unreliable, but it is believed that during pythagoras’s younger years he traveled the land in search of...
402 Words | 2 Pages
• Activity Of Maths CLass X
﻿ Objective To prove Distance formula = by experimentally Pre-knowledge We know Pythagoras Theorem Area of triangle Some Knowledge about coordinate Rules for signs of Co-ordinates Axes of Co-ordinates Geometrical Representation of quadratic polynomials Material Required Coloured Glazed paper Pair of scissors Geometry box Graph paper Drawing sheet Colour stick Pencil colour Fevistick/ Gum Procedure Let two points P(x1,y1) and Q(x2,y2) on graph sheet. And draw a set of...
850 Words | 6 Pages
• Ptolemy - 645 Words
Brendan McElwee Ptolemy Ptolemy was born in AD 90 in the Upper Macedonian region. He died AD 168 at the age of 78 in Alexandria, Egypt. Ptolemy grew up in the royal court at Pella. In 343 B.C.E. he joined Alexander at Mieza where he studied for three years with the Greek philosopher Aristotle. He returned with Alexander to help his friends quarrel with his father, who was the King of Macedonia. With his mother Olympias, Ptolemy and his close friends soon returned to Macedonia. The King forced...
645 Words | 2 Pages
• Pythagoras of Samos - 921 Words
PYTHAGORAS OF SAMOS Pythagoras of Samos, more commonly known as Pythagoras is recognized as the world’s first mathematician. Pythagoras’ image is mysterious because none of his writings are published, and the ‘society he led, half religious and half scientific, followed a code of secrecy’ (O’Connor and Robertson, 1993). He was born c575 BC in Samos, Greece, and was killed in c495 BC. Details about Pythagoras can be found in early biographical writings who would write of him having ‘divine...
921 Words | 3 Pages
﻿QUADRATIC FUNCTIONS (WORD PROBLEMS) 1. The area of a rectangle is 560 square inches. The length is 3 more than twice the width. Find the length and the width. Representation: Let L be the length and let W be the width. The length is 3 more than twice the width, so The area is 560, so Equation: Plug in and solve for W: Solution: Use the Quadratic Formula: Since the width can't be negative, I get . The length is 2. The hypotenuse of a right triangle is 4 times the smallest side. The...
311 Words | 2 Pages
• Math 221 - 420 Words
Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the right angle triangle. Buried treasure: Ahmed has half of a treasure map,which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the...
420 Words | 2 Pages
• pythagoras - 314 Words
﻿ Pythagoras Of Samos Pythagros’s Family Born - Approximately 569 BC, Samos Greece Died -Approximately 500 - 475 BC, Metapontum Italy Pythagoras is often referred to as the first pure mathematician. He was born on the island of Samos, Greece in 569 BC. Various writings place his death between 500 BC and 475 BC in Metapontum, Lucania, Italy. His father, Mnesarchus, was a gem merchant. His mother's name was Pythais. Pythagoras had two or three brothers. Some...
314 Words | 2 Pages
• Pythagoras & Protagoras - 899 Words
Thesis Statement Protagoras denies a perfect form for all things, while Pythagoras clearly presents the better case with harmonia. Pythagoras, known as “the father of numbers” through his Pythagorean Theorem is regarded as the first to seek for the form of all things . From Protagoras’s perspective, named as one of the “Sophists” by Plato, there would probably be no exact form for anything. Without an understanding of a true source from which all form flows with, we eliminate all...
899 Words | 3 Pages
• Measuring Distance: Triangulation and Standard Candles
﻿ With the help of tape measures and rules small distances in the everyday household are easy to measure. As distances grow bigger so do the devices and ways in which the distance is to be measured. In math rulers make sense as well as Pythagorean Theorem; so what about astronomy? Astronomers have a totally different format of information of which they are studying. It only makes sense that the astronomers would have a totally different way of which they measure. Two measurements...
403 Words | 2 Pages
• TOK Reflection: Mathematics - 1226 Words
﻿TOK Reflection: Mathematics To what extent is math relevant to your life and the lives of others you know and how can it become an even more viable area of knowledge. “In mathematics I can report no deficience, except it be that men do not sufficiently understand the excellent use of the Pure Mathematics.” Roger Bacon (1214-1294) Mathematics: the abstract science of number, quantity, and space; a subject considered by many to be useless, a waste of time, and too difficult. “When...
1,226 Words | 4 Pages
• philosopher - 429 Words
﻿ Pre-Socratic Philosopher Pythagoras, a famous Greek philosopher, born around 580 B.C., was born on the Turkish coast on the island of Samos. It is thought that he may have spent his youth traveling Egypt and many other places, gaining knowledge as he went. He spent his philosophical years in southern Italy, in the city of Crotona. Pythagoras was influenced by mathematics and science, and both were the basis for his religious and philosophical theories ("Stanford Encyclopedia of...
429 Words | 2 Pages
• Unit 1 Test Part 2
﻿Name: Date: Graded Assignment Unit Test, Part 2 Answer the questions below. You may use a drawing compass, ruler, and calculator. When you are finished, submit this test to your teacher by the due date for full credit. You ARE NOT allowed to use the internet while completing this exam unless specific directions are given in a problem stating that you may access a graphic via google or other search engine. Use of the internet while completing this test is considered cheating and will result...
512 Words | 2 Pages
• Pythagoras - 992 Words
﻿ Pythagoras of Samos Pythagoras of Samos was born sometime around 569 BC and since then has been said to be a strange and mysterious man. There are no writings of Pythagoras himself but his teachings and beliefs continue to influence modern philosophers and scientists. Pythagoras was born on the Greek island of Samos in the Mediterranean Sea, and although information about his early life in Samos is unknown, it is known that the island of Samos was near an Ionian colony known to be...
992 Words | 4 Pages
• Contributions of the Six Giants - 374 Words
Contributions of the Six Giants Thales of Miletus * He founded the geometry of lines, so is given credit for introducing abstract geometry. * Developed the first general theorems in geometry. * He was the first to demonstrate the truth of geometric relationship by showing that it flowed in a logical and orderly fashion from a set of universally accepted axioms called postulates Pythagoras...
374 Words | 2 Pages
• Reflections Paper - 821 Words
Reflective Paper MTH/157 Throughout this math course, there were many different strategies that were taught. Many that I, in particular, was very unfamiliar with. As I am planning on teacher early elementary, I am hoping that I do not have to teach too many of these new strategies. Some of them were very difficult and somewhat complex, and some of them were a review from previous classes. During this course, there were several major mathematical concepts that were taught and reviewed. In...
821 Words | 3 Pages
• Geometry Portfolio - 1258 Words
Period 7 Jack Whyte Reflection This year, both as a student and as a person, I learned a tremendous amount. For instance, I learned that in England, its spelled “grey”, but in America its spelled “gray”. That pretty much was the coolest and most useful thing I have heard in a long time, let alone in the past 10 months. But I am not in a position today to discuss this, and thus I will be detailing everything else I have learned that has fallen short. Scholastically, I’ve grown to...
1,258 Words | 4 Pages
• The Famous Mathematicians: Facts and Information
Srinivasa Ramanujan Famous As: Mathematician Nationality: Indian Born On: 22 December 1887 AD Born In: Erode Died On: 26 April 1920 AD Place Of Death: Chetput Education: Trinity College, Cambridge (1919–1920), University of Cambridge (1914–1919), University of Cambridge (1916), Government Arts College, Kumbakonam (1904–1906), Town Higher Secondary School (1904), Pachaiyappa's College, University of Works & Achievements: Ramanujan constant, Ramanujan prime,...
1,133 Words | 4 Pages
• Crap - 702 Words
Introduction The gummy bear project was to provide us with a chance to practice the statistics experimental design, through measuring how far the gummy bears fly from a catapult in centimeters. This catapult contains 3 different stages from which to launch gummy bears at different angles: front, middle, and back, as well as two different positions upon the catapult at either the front or back. Then, based upon each configuration, we launched the gummy bears 5 times, for a total of 2x3x5, 30...
702 Words | 6 Pages
• Random Math Equations and Formulas
Absolute values In an absolute value, everything with it is counted as a positive. ∣-a∣ = --a= a ∣a∣ =a In an equation, absolute values have two possibilities when talking about equations ∣a+b∣ =x = a+b=x = a+b= -x e.g. Solve ∣x-4∣=8 x-4=8 OR x-4= -8 x=12 x=-4 Sub both answer into the equation ∣12-4∣ =8 OR ∣-4-4∣ =8 8=8 8=8 Both solution re true so x=12 or x=-4 Absolute inequalities (method 1) If ∣a+b∣...
358 Words | 3 Pages
• Activity 2 And 3 - 1979 Words
﻿Jonald Atienza February 3, 2015 MT32-C11 C/M Ronel Almacen Finals Activity 2: Channeling Introduction On February 2, 2015, C/M Almacen discussed about channeling. He showed us the famous channel in the world the Istanbul, Turkey. He shared his experiences in navigating in this channel. He taught us the Traffic Separation Scheme (TSS). It has the north bound and south bound just like the road in land. Counter flowing is not allowed also in narrow channeling. When joining the...
1,979 Words | 6 Pages
• Mathematical Happening - 775 Words
﻿ Mathematical Happenings Rayne Charni MTH 110 April 6, 2015 Prof. Charles Hobbs Mathematical Happenings 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. Pythagoras was born in...
775 Words | 3 Pages
• Addition of Vectors - 777 Words
The Right Triangle |Component of vectors |Resultant vectors by component method 28 July 2012 REDG 2011 1 The Right Triangle (c) (a) (b) c = a +b 2 2 2 2 2 Solve for a and b. a2 = c2 -b2 b2 = c2 -a2 c = a +b 28 July 2012 REDG 2011 2 The Right Triangle hypotenuse opposite  adjacent 28 July 2012 REDG 2011 3 The Right Triangle adjacent  hypotenuse opposite 28 July 2012 REDG 2011 4 The Right Triangle The opposite always faces...
777 Words | 8 Pages
• Add Maths Sba - 1071 Words
1,071 Words | 6 Pages
• Why do we need algebra?
﻿Where will I ever need algebra? Where do you need square roots? When will I ever use the Pythagorean Theorem? Will algebra even be 'relevant' in the future? These are a few of the many questions that one asks when they have to take an algebra course. This is a required subject in most colleges to further ones education. The first year of algebra is a prerequisite for all higher-level math: geometry, algebra II, trigonometry, and calculus. It is quite true, while many people get by without an...
520 Words | 2 Pages
• greek - 975 Words
﻿ There are many Greek influences that still affect us today such as Democracy. The Greeks created the world’s first democracy. Athens started out as a monarchy and then advanced to and oligarchy until it finally reached a democracy. The government consisted of over 6,000 assembly members all of whom were adult male citizens. The assembly voted on issues throughout Athens, and passed laws. The required number of votes to pass a law was simply the majority but in order to banish or exile...
975 Words | 3 Pages
• India Is a Country of Farmers, Write Down the Importance of Farmers Along with Images Related with That
Search this site Follow Show Mobile Navigation SCIENCE NEXTPREVIOUSRANDOM LIST SHARE * Twitter * Google+ * Facebook * Pinterest HUMANS Top 10 Greatest Mathematicians M. R. SEXTON DECEMBER 7, 2010 Often called the language of the universe, mathematics is fundamental to our understanding of the world and, as such, is vitally important in a modern society such as ours. Everywhere you look it is likely mathematics has made an impact, from the faucet in your kitchen to the...
2,124 Words | 7 Pages
• Mathematics and Plane Geometry - 369 Words
Little is know about Euclid, the father of geometry. Records show that he lived somewhere around 300 B.C. He was a Greek mathematician and is probably best known for his work Elements. Since little is known about the personal life of Euclid, it is difficult to do a biography on him. His chief work, entitled Elements, is a comprehensive essay on mathematics. It includes 13 volumes that entail such subjects as plane geometry, dealing with the properties of flat surfaces and of planar...
369 Words | 1 Page
• Comparing and Contrasting Euclidean, Spherical, and Hyperbolic Geometries
When it comes to Euclidean Geometry, Spherical Geometry and Hyperbolic Geometry there are many similarities and differences among them. For example, what may be true for Euclidean Geometry may not be true for Spherical or Hyperbolic Geometry. Many instances exist where something is true for one or two geometries but not the other geometry. However, sometimes a property is true for all three geometries. These points bring us to the purpose of this paper. This paper is an opportunity for me...
1,815 Words | 5 Pages
• Astronomy and Trigonometry - 693 Words
Sebastian Trigonometry and astronomy Trigonometry is used everywhere in our lives, since the beginning of development in our civilisations, people have been researching about the three lengths that have mystified for centuries. Trigonometry can almost be seen everywhere. First of all though we need to know its international definition, trigonometry is a study of triangles and its sides and angles, the hypotenuse, the adjacent side and the opposite side. Trigonometry also has its...
693 Words | 2 Pages
• Week Five Assignment - 422 Words
﻿ Week Five Assignment-Pythagorean Quadratic MATT 221-Intro to Algebra Instructor Sharon Giles Saturday, March 15, 2014 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...
422 Words | 2 Pages
• Mastery Test on Trigonometry: Right & Oblique Triangle Application
﻿Pitogo High School Pre-calculus 2nd QT Mastery Test #1 Name: _____________________________________________ Date: _________________ Yr.&Sec.: _____________________________________________ Teacher: _________________ Direction: Read the following then answer correctly. Write your answer & solutions on a separate answer sheet. A. True or False. ______1. The area of a triangle equals one-half the product of two of its side lengths and the sine of the angle. ______2. Given only the...
568 Words | 2 Pages
• ExamView Ch 5 REVIEW
Name: ________________________ Class: ___________________ Date: __________ ID: A Ch 5 Review Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the value of x. The diagram is not to scale. a. ____ 32 b. 50 c. 64 d. 80 2. B is the midpoint of AC, D is the midpoint of CE, and AE = 11. Find BD. The diagram is not to scale. a. 5.5 b. 11 c. 1 22 d. 4.5 Name: ________________________ ____ 3. Points B, D, and F are...
1,623 Words | 22 Pages
• Division and Important Physical Features
ENGLISH:1. Read ‘As You Like It’ by William Shakespeare. Prepare an attractive book review and keep it inside its book jacket. 2. Solve 2 sample papers (sec A, B, C) in a separate notebook. 3. Write an interesting script for the radio show for FA activity. 4. Revise ‘Literature’ FA1 syllabus covered in the class. MATHS:Q 1 Use the factor theorem to determine whether x-1 is a factor of 2√2 x3 + 5√2x2+7√2 Q 2 Find the value of a, if x+a,is a factor of the polynomials: a) x3+ax2-2x+a+4...
510 Words | 3 Pages
• Differences: Chaos in the History of the Sciences
Environment and Planning D: Society and Space 2012, volume 30, pages 369 ^ 380 doi:10.1068/d6810 Differences: chaos in the history of the sciences Michel Serres ¨ Academie Francaise, 23 quai de Conti, 75270 Paris cedex 06, CS 90618, France ° Translated by Taylor Adkins 3047 Hollywood Drive, Decatur, GA 30033, USA Abstract. In this paper from the book Les origines de la geometrie (The origins of geometry), subtitled ¨ ¨ tiers livre des fondations (third book of foundations) (Serres, 1993,...
6,879 Words | 20 Pages
• Distance Between Two Points in a Coordinate Plane
Distance Between 2 points in a Coordinate Plane Short Description of Lesson: This is a lesson that introduces or reinforces how to find the distance between 2 points on a coordinate plane by using the absolute value between 2 points or using the distance formula. Lesson Objectives: Students will learn how to find the distance between two points on a coordinate plane and apply their leaning to find the distance between 2 perpendicular lines on a coordinate plane (Glencoe-Geometry 3.6...
427 Words | 2 Pages
• Geometry Sem 2 Review 1
Geometry Final Exam Review #1 Semester 2 Name:________________________ Hour:_______ GEOMETRY SEMESTER 2 FINAL REVIEW #1 1. The ratio of the side lengths of ΔOMN to ΔHGI is 4:3. Find x and y. 2. Find f. 3. The triangles are similar. Which choice below is NOT a correct statement? (A) B  F (B) ΔBAC~ΔFDE BA FE (C)  BC FD AC BC (D)  DE FE (E) A  D 4. Which of the following statements is not true? (A) ΔABC ~ ΔEDC by SAS~ (B) ΔABC ~ ΔEDC by AA~ (C) ΔABC ~ ΔEDC by SSS~ (D) ΔCDE ~ ΔCBA by...
877 Words | 10 Pages
• Health and social care - 580 Words
﻿Assessment Draft To whom this may concern, I am writing in response to your magazine article “Teenagers should listen more!” I have felt the need to reply due to the custody of my views and experience. I am writing this letter to you to hopefully change your views and shine a better light to our future generation which is our very own, teenagers. Firstly, I’d like to clarify that teenagers are invariably pressured in to making sure they stay well aware from the dangers that the world can...
580 Words | 2 Pages
• Freire's Banking Concept - 828 Words
Reflected Banking Concept In Michael Austin’s “ Reading the World”, Paulo Freire explains his concept of “Banking Education” as education becoming “lifeless and petrified”. Freire explains how this society is becoming like a bank, where knowledge is deposited into the minds of the students, which are empty until the deposits are made. In the Banking Concept, memorization is the principle of “narration sickness” as Freire described. My junior year Calculus class is an example of “Banking...
828 Words | 3 Pages
• Ia Math - 507 Words
IA Task I Introduction and purpose of task: The purpose of this task is to investigate the positions of points in intersecting circles and to discover the various relationships between said circles. Circle C1 has center O and radius r. Circle C2 has center P and radius OP. Let A be one of the points of intersection of C1 and C2. Circle C3 has center A and radius r (therefore circles C1 and C3 are the same size). The point P’ (written P prime) is the intersection of C3 with OP. This is shown...