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Archimedes Principle

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Specific gravity is the ration of a material’s density to that of water. Practically, the physical properties of volume, density, and mass… Below are tabulated results indicating numerous physical properties of different materials determined through a typical Archimedes Principle experiment.
Admittedly, both weight and density are physical properties of…

Biography of Archimedes

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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… Archimedes may be from an ancient civilization but his ideas were far from ancient. In…

The works of Archimedes

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NAME Instructor Course Date 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.…

Life and Death of Archimedes

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The Course Number 20 March 2012 Archimedes The life story of Archimedes takes a modern reader to an exciting journey into “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.… My goal in this paper is to explore the…

Solve for the value of pi

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Calculation 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).… However, it can be agreed that pi is based on the…

Measuring density of an irregular object

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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… Due to uniformity in the arrangement of particles in any solid, the density of the…

Determining the density of an irregular solid

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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.… From the microscopic point of view, any material usually has a specific arrangement of its atoms. The bonding…

Finding number PI

8 pages
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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 modern times, however, with the advent of computers, the emphasis has shifted to the speed at which the value of Pi can be determined together with increasing the number of decimal places. This paper…

Numerical integral

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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… Before Cavalieri introduced the system of indivisibles, Archimedes had also been working on the same thing. Archimedes had developed a method…

History of Mathematics Essay

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1. Discuss the idea of number mysticism. Give concrete examples of the mysticism surrounding the numbers 1 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 Pythagorean idea of the world was that natural numbers were the answer to…

Squaring the Circle and Trisecting an Angle

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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.… Babylonian mathematicians has found…

Exam 1

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Gender is a social construct deeply rooted in social institutions and 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,… Since property was communally owned, power remained to men as they controlled the…

Lunar Surface

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Rupes: This is a uniquely lunar term for a scarp, which is A change in topography along a linear to arcuate cliff The creation of the cliffs are attributed to volcanic, tectonic, degradational, or impact-related processes.
The maria are younger than the terrae of the… That is made apparent by the high walls and smooth floor of the crater, verifying that lava…

Math Project

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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… 1. The number pi(π)has an interesting history. However, there have been twists and turns that reflect the history as to where the symbol pi(π) was derived from.…

Physics lab reports

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Archimedes Principle, which states 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… This property allows the convenient computation of the density of the rock samples given…

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

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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… He employed the latest technology in making new weaponry and reforming the old in such a way that it carries more power and can have strong ain at the…

ARM Processors

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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.…

Oh the Humanity

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18th February 2013 Senior Philosophy – Writing Response University Name 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.… For example, in his book The End of Science, John Horgan gloomily predicts “an impending…

The history of the concept of limit

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Many among us cannot begin to fathom the equations that the designer put to work in the development of computer processors jetting out… Yet, the role these equations are paramount in modern society’s foundational circuitry.
Few among us see the tiniest fraction of the actions of mathematical limits that buzz within and around the tools and highways and…

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

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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… 1). The dimensions of the domed part of the building are 142 feet in diameter and 142 feet in height and it has an ocula, a circular hole, in the roof which lets in light. (Kleiner, 2010, p.…

Density experiment

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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.… This experiment aims at using the Archimedes principle to determine the density of post-1985 pennies. The…

The teacher and the failures

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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. … The protagonist of the poem as the name…

Experiment 2

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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… Equation for Archimedes buoyancy force is; Fb = g(mobject – mair), where Fb = buoyancy force, g = gravitational acceleration, and m = mass. On the other hand, Avogadro’s laws…

Aristarchus and Ptolemy

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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… Ptolemy happened to be a citizen of Egypt, between 90AD and 168AD, during the Roman…

A History of Mathematics

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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.
… His idea used as…