Geometry College Essays Samples For Students

The composer I have chosen to write this paper on is American Roger Zare. Roger is a composer from Florida who started composing at the age of 14. He learned multiple instruments at a young age including the piano and the violin. Roger has written solo, chamber, choral and full orchestra works. He has earned numerous honors including being the winner of the 5th annual Trio Anima Mundi Composition Prize. The work I chose to listen to is “Geometries” written in 2010 by Zare. The instruments that are included in the production of this are the clarinet, violin, cello and piano. ...

Looking up to the sky has been one of the most important activities of humans. Early civilizations are finding answers to their theological principles in the stars while others look guidance as they travel (Rosenburg & Russo, np). Astronomy is a vital part for the foundation of the religious beliefs and concepts of most of the early civilization. They view astronomy as a tool or as a backbone to their religious, social and cultural beliefs (Sprajc 87). Curiosity and hunger for knowledge have been the fuel for mankind to search answers in space. The significance of astronomy to life could be hard to ...

Euclidean geometry is an important sub-discipline of mathematics, as it covers all scopes encompassing distance and theories justified by accurate calculations. Taxicab geometry has become an important sub-discipline of geometry as it applies an extensive and an analytic approach of determining distance between two different points. Many elements of mathematics are present in computer science, such as the principles of basic operations, and selection of numbers – which are present in technologies that made an influence in every facet of human life. In the simple program compiled, a user could choose from the three following options: (1) to begin a game involving ...

(Author)

Philosophy

The Renaissance period found a good deal of interest in the physical world (Weckowicz 53). In 1510, Leonardo da Vinci developed several theories on the nature of the universe. In 1528, Jean Fernal, the French physician, calculated the size of the Earth. Nicolas Copernicus, a highly qualified Pole, observed motions of heavenly bodies, though he was not a practical astronomer. He found that heliocentric theory was more practical; Earth is actually rotating in an orbit around the sun. He retained many concepts of older theories such as spherical and finite universe, and perfectly circular shape of heavenly bodies. His heliocentric theory ...

1.0 Introduction
Many sports played across the world that involves throwing, hitting and kicking are done so using a ball. However, many parameters such as humidity, materials of manufacture of the ball, size of the ball, etc. control the movement of the ball in air. Research on golf balls and tennis balls reveal their aerodynamic properties and the various parameters affecting their flight. The effect of seams on a baseball on the flight has been evaluated along with the relationship between rotation and lateral forces (Watts & Sawyer 1987). Similar studies have also been conducted on cricket balls, rugby balls, volleyballs ...

Introduction:

Geometry is a lot more than proofs, formulas and calculations that fill up the text books. It is used every day by the engineers and scientists, who are responsible for the beautifully structured world around us. But geometry is not limited to science only; it’s an art, being used in simpler and fun ways. People playing pool bring geometry in use in many ways without even realizing the fact that they are playing with mathematics.

Christine Cam, writes in an article ‘How to use Geometry in Billiards’;

“Geometry and physics are essential parts of the game of billiards. Every shot in a pool game is based on forming perfect angles.”
Pool ...

The Good in Mathematics

The attribute of good is a concept that is central to mathematics. Mathematics is a subject that is evident in nature and very many processes of life. Many professions rely on mathematical concepts to accomplish their discourse objectives. It is the attribute of good in mathematics through its various concepts that helps us understand nature and its laws. This is evident through the various discoveries made by scientists in the present day academic world and that of a long time ago. The attribute of good implies that something can be explained through mathematical models. The attribute of good is ...

Philosophy

Introduction
Early modern philosophers in the seventeenth and eighteenth centuries thought that the semantic content of our thoughts is a function of the contents of our ideas. They assumed that knowledge of the world requires a kind of thought, namely ‘justified true belief’ (Wang, 2012). In this regard, they broadly disagreed over what cognitive faculty or source provided our ideas with the type of content that generated justified true beliefs. A dominant concern during this period of intellectual enquiry was hence involved in locating the faculty which is the source of contents of ideas that led to justified true ...

Book VII - On Shadows and Realities in Education

SOCRATES - GLAUCON
AND now, I said, let me show in a figure how far our nature is enlightened or unenlightened: --Behold! human beings living in a underground den, which has a mouth open towards the light and reaching all along the den; here they have been from their childhood, and have their legs and necks chained so that they cannot move, and can only see before them, being prevented by the chains from turning round their heads. Above and behind them a fire is blazing at a distance, and between the fire and the prisoners there is a raised way; and you will ...

Insrtuctor’s Name

“Answer the question, Jane Thomson,” Miss Smith says courteously, coldly, implacably, thus wiping the grin off my face. It is my friend Lucy’s sixteenth birthday, and we have been talking about her birthday party that she is going to throw on Saturday night. Naturally, we have been giggling and grinning from sideburn to sideburn as we usually do when we sit next to each other. That is why we did not notice our Geometry teacher come up to our desk.
“Silence!” Miss Smith hisses, turning on the class. Terrified, my classmates watch us in dismay. A sudden hush ...

Introduction

In the 19th and 2oth centuries, artists found new ways of representing their work that was opposed to the conventional way in which art was done. Many of them developed new styles that incorporated modern art which sought to highlight the aspect of postmodernism in the ways of life of the people. Such art was different from what was identified in the centuries that were prior to the 18th, especially what was the case in the renaissance. The artists curved art and offered continuity if what their predecessors had left, but only did so with a sense of freedom and ...

Raphael Sanzio was an Italian painter and architect who worked mainly in Florence and Rome during the period of High Renaissance (1483-1520). Raphael is known for his harmonic compositions, the detailed and carefully chosen movements of figures, and his ability to create paintings where the figures stand alone or as part of the whole (Gordon 52). In addition, Raphael was the master of foreshortening and perspective. Foreshortening means to adjust a figure to non-realistic proportions, so that figure gives the impression of being closer to the viewer. Perspective is a similar form of illustration where more distant objects are ...

Introduction

In the realm of Mathematics, there are many concepts that can be applied to multiple fields of mathematics. One of these concepts is the “Fibonacci sequence” that was developed by Leonardo Pisano during the 13th century. The Fibonacci number and sequence proposed by him gives a clear indication that mathematics can be connected to many things that may seem unrelated to it. The Fibonacci sequence has remarkable characteristics; it can be applied to various fields like discrete mathematics, number theory and geometry. By definition, the numbers in the Fibonacci sequence starts with either 0 and 1, or 1and1, and ...

It is appropriate to note that often conducted by historians comparison of philosophy of Descartes and Plato on the grounds that both saw in mathematics the science that was the most reliable of the sciences and believed that only it can provide the basis for physics, that is why many of philosophers and historians lose sight of the differences between these thinkers in understanding what mathematics itself and its role in cognition.
First of all, Plato saw in mathematics primarily a means to prepare the mind to comprehend some super-sensible reality that was the intelligible world of ideas, whereas ...

Question One

The most ideal access control for accommodating these permissions in the ACME Inc Human Resource department is the role based access control. The Role Based Access Control approach to securing access to the Human Resource management system bases access control decisions on the functions that a particular user is allowed to perform. The approach is widely used for non military enterprises with several employees with different roles and functions (Ferraiolo, Sandhu, Gavrila, Kuhn, & Chandramouli, 2001).
Role Based Access Control method of access control is ideal for these permissions since the users are categorized and assigned different roles in the ...

Learning how to study and understand great art provide one with a remarkable prosperity of great artistic works. Accordingly, an artist’s visual language and the ability to read helps in opening up new ways of seeing enabling one to comprehend the unfolding of history and historical events. Ultimately, art helps to reveal the human experiences in all their lively emotional and dynamic existence. In short, the ability to demystify imagery as well as the motives of art enables one to understand historical events and to challenge the contemporary arrangements.
Of note is that there are technical skills and ...

1- The chapter opens with these words: “ Neeru, shouei, maima, aqua. In any language, water is the most abundant compound on the surface of the Earth.”
- Explain the term compound and also why water is not an element.
Answer: Compound is a chemical entity made from combination of two or more different elements. These elements lose their individual identities when they combine to form a compound and possess unique properties subjected to that compound. Water is made from two molecules of hydrogen and one molecule of oxygen. Hydrogen and oxygen individually are elements but when combined in the ...

There have been events in history during which knowledge was advanced because people questioned the status quo. Historically, much of science and technology was formed and based on religious perspectives. Governments and the church crafted institutions that fit with the prevalent and accepted attitudes of the time. However, sometimes those attitudes changed forever because of a new discovery.

Part I Augustine's The City of God

Augustine wrote his massive tome titled The City of God in response to the claim by Romans that Christians did not properly support the Roman government because Christians were preoccupied worshipping God. Also at issue with the Romans was the Christian notion ...

[Client’s Name]
[Client’s Professor]
[Client’s Subject]
2. One day you receive the following letter:

I am in the process of putting together a must-read list of great philosophers. Some of the works that have been recommended to me are Plato’s Phaedo, Descartes’ Meditations, Berkeley’s Three Dialogues, Kant’s Prolegomena, and Schlick’s “Positivism and Realism.” I understand that you have recently studied these works in depth, and I would value your opinion. Please choose one of these works and tell me whether you think its philosophical content justifies putting it on my ...

The “Poetics of Space” is written by well acclaimed writer Professor G. Bachelard. The writer in his book described various aspects of domestic space. Author elaborates the relationship between various forms of geometry and human inhabitants. For a child his house is first cosmos for him, feeling of various things like stairs, doorknobs, corners of home and other things of house last forever. Bachelard not only talked about happy houses but also covered houses in storm. He said that storms make house more enjoyable, and place of closeness and immensity.
Bachelard defined living in a house as seashell living, he ...

Suitability of biometric technology

The 9/11 had a profound impact in the world on security and the threat terrorism posed in a modern age. Airports around the world knew that they had to overhaul their existing security measures to ensure such mishaps are averted. The infrastructure of bridges, tubes, stock exchanges, landmark sites are ever more vulnerable than before. The issue of illegal immigrants took precedence to ensure that no illegal activity took place. Security in the western world acquired a new measure of urgency. This essay looks at “biometric technology” as a verification and identification device.

Senator Charles Schumer who was working on a bill to enforce ...

Discovery

The pigeonhole principle is a simple but powerful concept that is used in tackling combinatorial mathematics problems in a systematic manner. In simple terms, the principle states that if some objects need to be placed in boxes that are lesser in number than the objects, then at least one box will have two objects. The concept was formulated in 1834 by a German mathematician named Peter Gustav Lejeune Dirichlet. In his original publication, Dirichlet used a German word that meant drawer in English (Brualdi, 2008). The word soon changed to pigeonhole that is an open space on a wall ...

[Class Title]

Perhaps no other number has fascinated scientists, mathematicians and artists alike as the Golden Ratio. Also known as the golden mean or golden section (depending on its application), the Golden Ratio is observed by many people to occur naturally, manifesting itself in many natural shapes and geometry. This interesting phenomenon has resulted in an almost cult-like fascination among many people. In fact, there are people, including notable scientists and mathematicians with the likes of Johannes Kepler, Leonardo Da Vinci and Fra Luca Pacioli, who refer to the Golden Ratio as the ‘Divine Proportion,’ suggesting that the Golden ...

The issue of gender disparity is commonly discussed with people raising a concern about how women and men do not have similar opportunities. The world continues to evolve and women today have broken barriers in a number of male-dominated fields. However, there are still issues of disparity in fields of science and engineering. Most women who have pursued a career in STEM-related fields have not joined the science and engineering fields. The following is a look at the statistics showing the existence of the problem, followed by recommendations on how the issues can be addressed.
Studies show that there ...

Introduction

A fossil is any substance that evidences a once-living organism (University of Arizona, 2016). As such, fossils evidence the ancient life forms which inhabited the earth long time ago and were preserved by a natural process. Most of the fossils are found in sedimentary rocks formed from the sediments of rivers, seas, and lakes. Some of these fossils are actual remains of living things such as bones, or events that happened in the past, for instance, the dinosaur footprints. However, it is ordinarily the hard parts of organisms that get preserved under the right conditions and the interaction of ...

Abstract

Land and rockslides are natural disasters that threaten people living in the Sultanate of Oman. In this paper, the fundamentals of disaster management are identified from their causes. First, the aspect of slope stability is covered. The involvement of this information follows the need to appreciate the vulnerability of mountainous regions to mass movement. The causes of mass movement are also explained. Further, the risks of rock and landslides are expanded with the intention of directing the focus of the paper. To be objective, the paper progresses to a review of the measures employed by the government of Oman ...

Trigonometric computations are used in nearly all fields of geometry, physics and engineering. The triangulation technique has the great importance, which allows measuring the distance in astronomy and geography, monitoring the satellite navigation system. Also trigonometry is used in such areas as music theory, acoustics, optics, analysis of financial markets, electronics, probability theory, statistics, biology, medicine and so on. Daniel Bernoulli, Fourier and Cauchy made a huge contribution to the involvement of trigonometry and developed the idea of trigonometric series.
In the middle of the XVIII century, appeared the most important in its consequences "argument of a string". Euler ...

Introduction to Art and Aestheticism

Art is defined as the expression or application of creative skill and imagination, especially through visual medium like painting, sculpture, illustration or any kind of performing art as well. Art is non evaluative term. It means that no one could say whether it is good or bad. Instead the focus of the critics should be on interpretation and assessment.
The term aesthetics is related to the beauty of art. Berleant (1992) calls art as a product of human relationship. The contextual phenomena of aesthetics changed in course of time and according to the contemporary situations. The modern aesthetic was ...

Introduction

Parthenon's symmetrical and idealistic architecture is the result of the continuous changes of styles and ideologies in the past (see fig. 1); despite the ruined state in the modern age, Parthenon temple still continues to be the role model for all architects throughout the world. The role of the Parthenon was not only limited for priests’ rituals and to appease the deities of the Olympus. Historically, the Parthenon itself was the center of the commercial and civic activity of the ancient Greeks since many people visited the temple to worship to their Gods and this was also the perfect ...

Parthenon is a Greek temple dedicated to the Greek Goddess Athena. The temple was built by two architects; Iktinos and Kallikrates (Cartwright et al.). The temple was erected with the aim to preserve the monumental statue of Athena. The statue was made up of ivory and gold. The statue of Athena is surrounded by 23 small Doric columns. They are arranged in a two storey.
According to Neils (88), the Parthenon is a remarkable building. . The huge construction of this architecture has used mainly the limestone, while the columns are erected in marble. The Parthenon is an exquisite specimen ...

1. Problem Solving Project
1.1. How Mathematical Problem Solving Can Lead to Excellence, Personal Development and Integrity Outside of a Mathematics Classroom
The philosophical understanding of the world, its general laws and basic scientific concepts is not possible without mathematics. Mathematical problem solving leads to excellence, personal development and integrity outside of a mathematics classroom. It helps to analyze, compare and classify objects, establish cause-and-effect relations and patterns, build logical chains of reasoning and develop algorithmic thinking.
Mathematics allows us to develop some important mental faculties: analytical, deductive (the ability to generalize), critical, forward-looking (the ability to forecast, ...

Before the onset of the seventeenth century, the Middle East had dominated in the area of mathematical ideas. Many philosophers and scientists came up with compelling ideas in mathematics and proved many formulas in mathematics from the Middle East. Essentially, there were distinct factors that influenced scholars and philosophers from this region to be competent in mathematics and other scientific inventions as they were. However, in the onset of the seventeenth century, Europe replaced the Middle East, which had been vastly associated with mathematical discoveries. Europe thus became the new engine house of mathematical ideas from the seventeenth century . ...

Most of the computer aided design programs that are used today in drafting may seem new to many people even though they have been in use for more than a decade. These programs trace their origin to about 50 years ago. The modern technology designs and drafting are viewed as a result of the sixteenth and seventeenth century development of the descriptive geometry. Most of the work aimed at developing computer aided drafting intensified in the post war era, with many people working at MIT on the numerical control of machine tools and automating drafting and designing.
During the 1950s, ...

Art & Architecture: Frank Lloyd Wright, Glasner House, Glencoe, 1905 (Formalist Interpretation)

The interpretation or criticism of any work gives a new insight as it needs a thorough research with external as well as internal factors. One cannot interpret architecture same as the interpretation of drawing, painting or sculpture. It needs a completely different approach. This paper is about the interpretation of a residential building Glasner House, which was built in the beginning of the 20th century. The building was a residential architecture planned and developed by creative American architect Frank Lloyd Wright. The architecture was one of the specimens of typical Prairie house. It was the symbol of the changing lifestyle- of the new emerging ...

Being the son of a painting teacher, Pablo Picasso had an early familiarity with the world of pictures. He studies under his father for a year, before he went to Paris to learn new styles and practise the same. He wanted to be an experimental painter. He had a good knowledge of Geometry and shapes; he evolved as a painter and learnt all the styles; ranging from the Blue period, rose period, the African styles and finally to cubism and surrealism and realism, of which he became a pioneer.
In the Blue period, Picasso mainly focused on the shades of Blue and bluish ...

Descartes Skepticism

The philosophy of Descartes, usually called Cartesianism, is summarized in Discourse, in a more complete form - in the "Reflections" on First Philosophy (Meditationes de prima philosophia in qua Dei existentia et Animae immortalitas demonstratur, 1641, second edition with Objectiones Septimae, 1642, the Paris edition in French, with corrections Descartes in 1647) and from a different point of view in the "first principles of philosophy" (Principia philosophiae, 1644, a French translation in 1647).
Sensory experience is not able to give reliable knowledge, because we are often faced with the illusions and hallucinations. In addition, the reasoning is deducing conclusions from the ...

Research Paper, for Arts Class

Art Deco is an ancient design and decoration style that emerged at the end of the nineteenth century. The design style succeeded Art Nouveau. After its emergence and adoption, the style reached a peak during the first and the Second World War (1918 to 1940). The First World War is documented as the mark of the conception and adoption of the style and is commonly referred to as the Art Deco era (Cook& Klotz, 1993). Subsequently, the name Art Deco was derived during a later time characterized by the events of the Exposition des Arts Decoratifs et Industriels which took place ...

Mathematics and sciences gave me one of the biggest challenges in my early education life. Having studied in a private school in the US where I was introduced to Everyday Math, I realized that it was not as easy as the tutors would want us to believe. An s early as I can remember, the educators used old and ineffective teaching criteria. Having to count from 0 to 1000 and playing games seemed tedious at the moment but it was as much impractical as I would learn later on. Addition and subtraction facts were scanty, and less emphasized. Until 5th ...

Introduction

Fourier analysis is a field of mathematics that studies how general functions can be approximated or represented by the addition of simple trigonometric functions. Fourier analysis is named after a man who proved that representing a mathematical function in the form of a sum of a trigonometric function simplifies the inquiry into heat propagation. Joseph Fourier envisioned the Fourier series, a concept from which Fourier analysis grew. Presently, vast spectrums of mathematics involve Fourier analysis as a subject. The subject spans through the field of engineering and sciences. In these two fields, Fourier analysis involves the process through which a function is decomposed into simpler functions. The ...

The Golden ratio is approximated to be equal to 1.618033989. According to golden rule two quantities are said to be in a golden ratio if the ratio of larger quantity to smaller one is equal to ratio of the sum of larger quantity and the smaller one i.e. a+ba = ab = 1.618033989, where, a’ is the larger quantity and b is the smaller one. This ratio is also called the golden number, divine ratio, the golden section or even the golden mean. The concept of golden rule is attributed to Pythagoras and his followers. The oldest definition of golden rule can which made ...

The Barcelona Pavilion by Ludwig Rohe

The Barcelona pavilion was designed in 1928 by a German architect by the name Ludwig Mies Van de Rohe. The building design was established as a show of transformation in the German architecture after the First World War. The actual design was implemented in the following year (1929) and the building was built of simple structure which consisted of marble, red onyx and travertine (Berger, 2007). This building had certain unique features that attracted architects in the century. Though the building was destroyed in the year 1930, it was later re-constructed and its attributes, concepts, materiality and spatial distribution were used. ...

The science of numbers otherwise known as mathematics is various disciplines and principles that involve changes in structure, space, quantity and change. It has been a fundamental of many other sciences that rely on numbers for reasoning. Being said that, mathematics need to have learning standards. Because having standards in mathematical learning will give students realistic and clear expectations of what they are about to learn in math disciplines. Students will also have understanding of the reasons why learning math is detrimental in connecting concepts to their previous learning and how they apply in practical situations.

How do standards improve ...