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Archimedes Principle

2 pages (500 words)
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... Lab Report on Archimedes’ Principle Theoretically, density, or rather specific density of parent material determines whether an object sinks or floats when immersed in water. Specific gravity is the ration of a material’s density to that of water. Practically, the physical properties of volume, density, and mass are related as d = m/v. Experiments that study the floating and sinking properties of different materials are practical application of Archimedes Principle (Smith 15). According to the principle, volume of liquid displaced when an object is immersed in water is directly related to the weight of the immersed object. Below are tabulated results indicating numerous physical properties of...

Biography of Archimedes

6 pages (1500 words)

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... of Archimedes Roll No: Teacher: 4th May 2009 Biography of Archimedes We often think of ancient civilizations as ones that seem to be lacking in knowledge because they did not have the blessings of technology and the comforts we enjoy. However, when we look at other civilizations from this myopic point of view, we miss out upon some truly exceptional minds and discoveries. He discovered mathematical equations, invented tools and developed theories that were far superior to any that his generation had ever seen. Archimedes also made discoveries in astronomy, engineering, and optics. As well as being a great inventor, Archimedes was also a theorist. Archimedes may be from an ancient civilization but ...

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The works of Archimedes

5 pages (1250 words)

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... The Works of Archimedes Eureka! Eureka! This is the now famous word uttered by Archimedes in the (possibly apocryphal) story of how he discovered the concept of mass while taking a bath and noting that the water level rose as he descended into it and that the mass of his body displaced an equal amount that could be measured. He supposedly ran through the streets afterwards shouting, “Eureka, Eureaka!” which mean “I found it, I found it” (Zorman). It is interesting to note that almost all we know about the contributions of Archimedes to the world of science comes from three manuscripts discovered by the historian Johan Ludvig Heiberg and designated by him as codices A, B, and C. Codex C, of Byzantine ...

Life and Death of Archimedes

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... The Number 20 March Archimedes The life story of Archimedes takes a modern reader to an exciting journeyinto “the genius of Hellenic learning” (Roller quoted in Jaeger 235). Indeed, there cannot be found a single word to describe the genius of Archimedes – one of the greatest scientists of antiquity. He has earned his fame as “the father of mathematics” (Hasan 1), but he has been equally celebrated as a philosopher, engineer, physicist, astronomer, and inventor. Jaeger in her research “Archimedes and the Roman Imagination”, compares Archimedes to Albert Einstein, stating he was “a symbol of intellect” known and respected by many and understood by few (Jaeger 7). My goal in this paper is to explore...

Determining the density of an irregular solid

4 pages (1000 words)

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... Determining the density of an irregular solid Steve Beckman WGU INT1 December 12, Determining Density of an Irregular Solid 0 Problem ment Challenge to the determination of the density of an irregular solid is poised to its non-conformity to the any three-dimensional object that are used in the functional determination of the volume of natural and synthetic three dimensional objects. An irregular object falls outside the circular, ellipse, triangular, square, and rectangular or sphere basic units used in the mathematical computation of object. From the microscopic point of view, any material usually has a specific arrangement of its atoms. The bonding between the atoms determines the strength of the ...

Solve for the value of pi

5 pages (1250 words)

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... of Pi For many years, mathematicians have recognized that the ratio of the circumference of a circle to its diameter is a constant value, a value that has come to be known as pi. The mathematical notation for pi is, and the value is usually noted to be 3.14 (to two decimal places) (Wolfram). Over the years, it has been proven that this value is an infinite number, meaning that the number of decimal places can never be completely exhausted. Pi is a complex number that can never be completely explained whether mathematically or otherwise, since it has an infinite number of applications. However, it can be agreed that pi is based on the circle, which has many interesting properties (Gap-System). The...

Finding number PI

8 pages (2000 words)

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... the Value of Pi Table of Contents Finding the Value of Pi Table of Contents 1. Introduction 2.History of Pi 3.Ancient Method: Archimedes’s Method for Finding the Value of π 4
4.Modern Method: Borweins’ Algorithm For Computation of π 7
5.Conclusion 8
Bibliography 9
1. Introduction
The challenge posed by the ubiquitous mathematical entity called “Pi” (π) has intrigued mankind from time immemorial. Defined as the constant ratio between the circumference of a circle and its diameter, this number has drawn the attention of mathematicians of all periods in the history, mainly because it is an irrational number with a literally unending series of places after the decimal, and has graduated to the status of...

History of Mathematics Essay

2 pages (500 words)

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... OF MATHEMATICS TEST 2 Discuss the idea of number mysticism. Give concrete examples of the mysticism surrounding the numbers through 10, and any other numbers with superstitions attached to them. Which of these still exist today
A certain aspect of number mysticism is older than the Pythagoreans. The number seven had been thought of as a special number for perfection in many early cultures. The idea may be from the seven stars or planets that name the days of the week: Sun, Moon, Mars, Mercury, Jupiter, Venus, and Saturn (What is the Origin of the Seven Day Week). The Pythagorean idea of the world was that natural numbers were the answer to the different secrets of humans and matter. They thought th...

Squaring the Circle and Trisecting an Angle

5 pages (1250 words)

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... Head: Squaring the Circle and Trisecting an Angle Squaring the Circle and Trisecting an Angle: and Discussion Name
Course Name, Semester No, Class Level
Supervisor Name
June 20, 2009
Introduction to Squaring the Circle and Trisecting an Angle
Greek Mathematicians were amazed by the complexity of three geometrical constructions - squaring the circle, doubling the cube and trisecting an angle. These problems have kept the interest of mathematicians alive through generations. The present article studies the problem of trisecting an angle and squaring the circle. There are reasonable differences between the these two problems as former has no definite record of chronological references to track ...

Math Project

2 pages (500 words)

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... Project Due Introduction In this research paper, the symbol pi(π) in geometry has been explained in depth. Apparently, geometry is something that everyone uses daily. It is found everywhere:space,sports,machines,art,cars and so much more. A major contributor in the geometry world who goes by the name Euclid(350BC),enlighten us on what geometry is all about. Through Euclidean geometry, we are able to answer some of the questions like why or where symbols such as Pi( π) or the Pythagorean theorem was derived from. However, this paper will answer will answer some of the interesting question evolving around Euclidean geometry.
Project Questions
1. The number pi(π)has an interesting history. However, th...

Numerical integral

2 pages (500 words)

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... Mathematics 13 November Numerical Integral The history of integrals s back to the 17th century. The basis of integrals was formed in about 1635 by an Italian mathematician known as Cavalieri. His work was the fundamental modern step towards the branch of calculus. However, the development of integrals has had many contributions by different mathematicians. Before the development of integral calculus by Gottfried Wilheim Von Leibnz and Sir Isaac Newton, several other mathematicians had made several developments using the ideas of Archimedes of Syracuse (Elroy 63). Cavalieri was one of the pioneer proponents of the idea that quantities too small cannot be divided into halves, in a concept known as the ...

Lunar Surface

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... Explore the web and find a detailed photographic maps of the lunar surface. 2. Search the internet for the information on a lunar atlas land describe the meaning of the following lunar terms and list an example of each.
Reference for this section of the assignment were provided by Luna Society International.
Terra,Terrae: The very large land masses on the moon’s surface; used to describe the lunar highlands.
Mare,Maria: The term(s) mean “sea.” They are used to describe the circular planes, and low basins, that are comprised of previous basaltic lava flows.
Lacus: “Lakes” is the actual translation, and describe the smaller plains on the surface of the moon.
Mons,Montes: The term literally means...

The history of the concept of limit

6 pages (1500 words)

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... History of Limit The limit function is applied so much in the construction of the gadgets we use daily in our on-the-go lives that we rarely stop to ponder it. Many among us cannot begin to fathom the equations that the designer put to work in the development of computer processors jetting out information at lighting fast speeds capable of running our i Pods, i Pads, Desktops, laptops, smart phones and netbooks.
Even if they could fathom these concepts and equations, many would not be able to solve them, even if they were busily at work on the task till the day they died. Yet, the role these equations are paramount in modern society’s foundational circuitry.
Few among us see the tiniest fraction...

Exam 1

1 pages (250 words)

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... Western civilization questions Part Question 2 Gender is a social construct deeply rooted in social sand is responsible for patterns within societies that tend to stratify roles and structure relationships between women and men, boys and girls. In ancient hunter/gatherer societies such as Egypt, Mesopotamia, Assyria, the Hebrew society, Persia, and Archaic Greece (Minoans and Mycenaeans), the roles of women and men did not differ a lot from what is seen in the current hunter/gatherer societies. In other words, women would gather herbs, roots, fruits and nuts while men hunted wild animals. Leadership was for men and a place for women was around the hearth. Since property was communally owned, power...

Experiment 2

4 pages (1000 words)

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... Lab Report: Measuring the Molar Masses of Gases Introduction Theoretically, the molar mass of any gas is the mass of a gas containing 6.02 × 1023 atoms. According to Avogadro, one mole of any gas contains 6.02 × 1023 number of atoms. Therefore, molar mass is expressed in grams per mole; gmol-1. Practically, determining the molar mass of a gas is technically demanding, but possible. The molar mass determination process requires complemented efforts of definite gas laws, especially Avogadro’s gas principles and Archimedes’ buoyancy laws. Archimedes laws facilitate determination of floating and sinking of an object by relating the parameters of density with mass. Equation for Archimedes buoyancy force...

Limits of Human Knowledge and Experience

4 pages (1000 words)

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... 18th February Senior Philosophy – Writing Response Limits of Human Knowledge and Experience:
The philosophical sub stream of epistemology concerns itself with questions surrounding the modes, methods and capacities of human knowledge acquisition. It is a very complicated subject with a lot of debate and disagreement among scholars. There are those like John Horgan, who envision the decline of scientific scrutiny into these questions. They contend that the tools offered by science are inadequate to grasp a highly complex and variant natural biological process. For example, in his book The End of Science, John Horgan gloomily predicts “an impending dissolution of science, that the great era of scie...

A History of Mathematics

4 pages (1000 words)

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... a Circle Squaring the circle is the ancient problem of producing a geometrical square of the same area as that of any given circle, under the restriction that only an unmarked straight edge and a compass may be used. It is one of the earliest great problems of mathematics, going back to as far as the most ancient recovered mathematical documents.
The Rhind papyrus, an Egyptian document written in about 1650 B.C., contains the earliest known reference to the problem of squaring the circle. In its "solution," the papyrus assumes the value of pi to be 3.16.
Antiphon the Sophist introduced an important concept during this time. His idea used as basis the fact that the Greek mathematicians of his time k...

ARM processors

4 pages (1000 words)

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... Processors Acorn (or later Advanced) RISC Machine (ARM) uses a 32-bit RISC (reduced instruction set computing) processor architecture that is utilized within many different applications. ARM processors are widely circulated, since their design integrates novel power-saving consumption and high performance features that adapt as part of the application design. These embedded processors are set directly into a device. The software is programmable, while it interacts with the hardware in real time. The chips operate as controlling and computing mechanisms within the same device, since they are multi-functional and complex. These chips or this technology, in particular, is used by multiple manufacturers ...

Density experiment

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... Lab Report Charnelle Palama and Tanya Ono (Group H) Chaminade This experiment aims at using the Archimedes principle to determine the density of post-1985 pennies. The experiment used water determined corresponding masses and volumes of pieces of pennies. This was then used to determine the pennies’ average density. The results yielded a significant relationship between mass and volume at ‘0.05 level of significance’ and a corresponding p value of 0.0009. The results also identified an experimental density of 7.54 g/mL for the pennies. This was different from a theoretical density of the pennies that is 7.18 g/mL. The experiment therefore yielded a percentage error of 5 percent that can be...

The teacher and the failures

3 pages (750 words)

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... Teacher and the Failures Contemporary poetry rarely engages in instructing and edifying. Thus “didactic poetry” or poetry trying to impart knowledge or to teach is almost out of fashion. It is considered to be an inferior form of poetry and poets object to that adjective, if tagged with their poems. But David Wagoner is a strange exception. He still maintains instruction as one of his prime mode of expression. He still writes instructional poems with instructions like how to start fire in the rain or how to rescue a drowning person. The poet known for his instructional tone is writing about the failed instructions of an instructor ---- that is what is making the poem My Physics Teacher interesting....

Real World Radical Formulas

2 pages (500 words)

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... World Radical Formulas the al affiliation If one is going to model a ship or boat, the safeness of crew must be a primary aim. One of the most impotent characteristics of boat safeness is the stability. The unique model needs unique investigation of its stability. On the other hand, it is convenient to have some general characteristic to estimate stability of the boat. It is also desirable deal with widely used variables. Thus characteristic is the capsize screening value. To understand the nature of capsize screening value one may consider the rectangle ship model (see figure below). Now, we assume that the boat deviates from the equilibrium position. The angle of deviation is . It is supposed to...

History Channel - Engineering an Empire - Greece in the Age of Alexander

2 pages (500 words)

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... an Empire Greece Age of Alexander Greece was known for its invasion, innovation and culture for times. The ancient Greece has seen the rise of greatest innovations in the field of engineering which have made them strongest empire of the world. Some of their technologies are still used by the people of our 21st century. They have shown the path that what knowledge and engineering can bring to the world.
The era of engineering excellence began with the rose of the king Phillip II who came from Macedonia and within two decades he build most spectacular army of Macedonians that the Greece have ever seen. He employed the latest technology in making new weaponry and reforming the old in such a way that it...

Aristarchus and Ptolemy

2 pages (500 words)

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... and Ptolemy of the Physics of the Concerned June 16, Aristarchus and Ptolemy There is no denying the fact that Aristarchus and Ptolemy tend to be two historical personalities who had made an immense contribution to the field of science and astronomy, when considered in the context of their age an times.
Aristarchus succeeded the noteworthy geometers like Archimedes and Euclid and lived at sometime in the time period between 230BC and 310BC (V Archive, 2012). It is said that he replaced Theophrastus, to lead the Peripatetic School founded by Aristotle. Besides being a philosopher, Aristarchus also happened to be an accomplished mathematician and astronomer (V Archive, 2012). Ptolemy happened to be a ...

Based off *Art History* The Differences Between The Hadrians Pantheon and Justinians Hagia Sophia

2 pages (500 words)
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... Differences Between the Hadrian’s Pantheon and Justinian’s Hagia Sophia. The Pantheon in Rome rests on the site of earlier buildings erected by Marcus Agrippa and others before that. The building that stands today was built by Hadrian when he was emperor in around 126 AD. It is the greatest example in the world of the mathematical structure described by Archimedes of a sphere inscribed inside a cylinder: Archimedes had an image of this inscribed upon his tomb in two dimensions but the Pantheon has is a full three dimensional version, where people can enter the sphere and walk around, looking at the structure from the inside (Martinez, 2000, p. 1). The dimensions of the domed part of the building are ...

Physics lab reports

2 pages (500 words)

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... 300 Lab report: Archimedes Principle Archimedes Principle, which s that the amount of buoyant force on a body immersed in a fluid is the same as the weight of the fluid displaced by the object, was applied in the determination of the density of rocks. Buoyancy is responsible for the apparent weight loss experienced by objects when immersed in fluids other than air.
This experiment was carried with the aid of a spring balance, which was used to weigh the rock samples. The experiment involved the weighing of rock samples in air and then when submerged in water. Water was chosen for this experiment because it has a peculiar property in that 1 gram of water occupies a volume of 1 cm3. This property all...

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