# Free Geometry On Nature Essays

GEOMETRY IN NATURE SPHERES: A Sphere is an object shaped so that all points on its surface are the same distance from a center point. Number 1: THE EARTH The Earth is a sphere due to its shape. The earth is shaped this way to assist in axis rotation plus the shape is needed to keep the earth in its orbit around the sun. Number 2/Number 3: FRUIT Fruit is shaped like a sphere to ensure overall ripening of the fruit. Number 4: BUBBLES Bubbles can be found in ponds from air rising from the bottom. ...

TOK E5 True and False seem to be such clear and simple terms, opposites and mutually exclusive. In reality, however we may inhabit, in much or even most of our knowledge the fuzzy area in between the two. Discuss the difficulties of attempts to draw a clear line between the two categories in at least two areas of knowledge. The question of the definition of true and false has for centuries of western civilization baffled the greatest of philosophers. The question being not just simply the defin...

Fractal Geometry Fractal geometry is a fascinating concept of dimension and shape. After being assigned this project I was recalled to the cookie jar that is on top of the fridge that I sought after as a child. The cookie jar features an image of a chef reaching into a cookie jar that featured the same repeating image of a chef. This particular ceramic piece of art was my first thought about the concept of infinity. The pioneering genius of fractal geometry, Benoit Mandelbrot, was a highly visu...

Math Report Fractal Geometry ?Fractal Geometry is not just a chapter of mathematics, but one that helps everyman to see the same old world differently. - Benoit Mandelbrot The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals ...

Emperor K'ang-hsi ruled China from 1661 to 1722 and his reign is captured by Jonathan D. Spence's book Emperor of China. The different chapters of the book deal with certain aspects of the Emperors life. Aspects that the history books to normally deal with. The information in Spence's book is based on Emperor K'ang-hsi's correspondence, his own writings. This writing maybe biased towards himself, but no other piece of information could provide insight into his mind. The book is divided into six...

Education And Egalitarianism In America The American educator Horace Mann once said: As an apple is not in any proper sense an apple until it is ripe, so a human being is not in any proper sense a human being until he is educated. Education is the process through which people endeavor to pass along to their children their hard-won wisdom and their aspirations for a better world. This process begins shortly after birth, as parents seek to train the infant to behave as their culture demands. They ...

Ideas Of The Parthenon Ideas of the Parthenon The Greek people of the 5th century BC created a culture that was deeply rooted in philosophy and the arts. Their endless search for their place in the grand scheme of the universe and in nature around them influenced everything in their lives especially their love of the arts. Their drama, sculpture, and even architecture are all shining examples of the ideas that were so dominant in the minds of the Greek people. What could be considered the crown ...

Bruce Goff's Bavinger House Introduction: Bruce Goff??s working career spanned sixty-six years, from 1916, when he began working in an architect??s office, until his death in 1982. During that time he received more than 450 commissions for buildings and related designs, resulting in more than 500 proposals of which at least 147 were realized. Bruce Goff occupied a unique place in American architecture. His buildings looked like those of no other architect. His idiosyncratic designs juxtaposed sh...

Taoism Philosophy of Mind in China Conceptual and Theoretical Matters Historical Developments: The Classical Period Historical Developments: Han Cosmology Historical Developments: The Buddhist Period Historical Developments: The Neo-Confucian Period Bibliography Introduction: Conceptual and Theoretical Matters Classical Chinese theory of mind is similar to Western folk psychology in that both mirror their respective background view of language. They differ in ways that fit those folk theories of...

Anaxamander With his discoveries, Anaxamander of Miletus attempted to bring the realm of the unreal to the world where common man could conceive it. As successor and pupil of Thales of Miletus, Anaxamander worked on the fields of geometry, natural science, and astrology. The culmination of his life attempted to define the indefinite or undetermined. He was the first to discover and apply the theory of the unlimited. For a philosopher of this time period, he had many radical ideas. Anaxamander be...

Hobbes And Locke Hobbes and Locke Outcome 2 . Thomas Hobbes was born in Wiltshire, England in 1588 just prior to the Spanish Armada. Philosophy is defined by Hobbes as the reasoned knowledge of effects from causes, and causes from effects. Hobbes was educated in Oxford where he learnt about the great classics and also of Aristotle, however Hobbes disliked Aristotle's approach that democracy was the best form of government. Hobbes spent many a year on the continent and his disliking for Aristotle...

Interview With Socrates Greek philosopher and educational reformer of the fifth century B.C.; born at Athens, 469 B.C.; died there, 399 B.C. After having received the usual Athenian education in music (which included literature), geometry, and gymnastics, he practised for a time the craft of sculptor, working, we are told, in his father's workshop. Admonished, as he tells us, by a divine call, he gave up his occupation in order to devote himself to the moral and intellectual reform of his fellow...

History Of Physics Physics began when man first started to study his surroundings. Early applications of physics include the invention of the wheel and of primitive weapons. The people who built Stone Henge had knowledge of physical mechanics in order to move the rocks and place them on top of each other. It was not until during the period of Greek culture that the first systematic treatment of physics started with the use of mechanics. Thales is often said to have been the first scientist, and ...

Philosophy When I was born, I did not know the difference between right and wrong. Now, I do. The word philosophy means the love of knowledge. One type of knowledge is propter quid, which ask the question why or how. In this paper, I will demonstrate how Socrates, Hume and Aristotle, three well known philosophers, would explain how I acquired this knowledge in relation to the principles of right and wrong. Socrates is the first philosopher, I will discuss. Since Socrates did not write anything d...

The Life of Rene' Descartes Rene' Descartes was a French mathematician, philosopher and anatomist. He contributed a great deal to modern ideas , particularly those concerned with geometry. He was known in his time as a mechanist, because he believed that nature could be explained through rational means, and inherent patterns could be found. During his life, Descartes remade geometry and made modern geometry possible. Rene' Descartes was born on March, 31 1596 in La Haye, Touraine, which was a fo...

Why Is There Gravity? When you pick up a stone and release it falls to the ground. This seemingly simple concept has been known throughout history as gravitation. Isaac Newton managed to explain gravity in terms of its effects, but few have come up with a working explanation for the driving force behind it. The mysterious nature of some of the more peculiar effects of gravity, as well as the simple ones, indicate that explaining why there is gravity will be a long, difficult, yet intriguing task...

The Avant-Garde Architecture of I.M. Pei The Chinese-American architect Ieoh Ming Pei (I.M) is known as one of the greatest architects of the Twentieth Century. His long, brilliant career was highlighted by several internationally famous structures. While many of Pei's buildings were generally accepted by the public, some of them precipitated fair amounts of controversy. The most notable of these controversial structures is his Glass Pyramid at the entrance of the Louvre in Paris. For these reas...

Chinese History - Emperor Kang-hsi Emperor K'ang-hsi ruled China from 1661 to 1722 and his reign is captured by Jonathan D. Spence's book Emperor of China. The different chapters of the book deal with certain aspects of the Emperors life. Aspects that the history books to normally deal with. The information in Spence's book is based on Emperor K'ang-hsi's correspondence, his own writings. This writing maybe biased towards himself, but no other piece of information could provide insight into his ...

Fractal Geometry ?Fractal Geometry is not just a chapter of mathematics, but one that helps everyman to see the same old world differently. - Benoit Mandelbrot The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete...

History of Algebra Algebra is defined by Websters New Collegiate Dictionary as a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic. This is not a good definition of algebra. It would take a thick book to really explain it. In fact, to this day it is still being added to. There are always new things to be discovered about it. It has been added to by many different people over the centuries. Algebra has a long interesting history....

Pythagorean Philosophy and its influence on Musical Instrumentation and Composition by Michael Anderson Philosophy 101 Music is the harmonization of opposites, the unification of disparate things, and the conciliation of warring elements... Music is the basis of agreement among things in nature and of the best government in the universe. As a rule it assumes the guise of harmony in the universe, of lawful government in a state, and of a sensible way of life in the home. It brings together and u...

Origins and Bibliography of the Big Bang Theory ORIGINS: Background & Bibliography ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Assembled for the PHILOsophy Conference of: Computer Connection PO Box 382 BBS (609) 784-9404 Voorhees, NJ 08043 by T.A. Hare Nov. 13, 1985 Topic: Areas of interaction between philosophy, science, and?religion. Part I - Big Bang (Astronomy) Part II - Unified Field (Particle Physics) Part III - Evolution (Biology). Part IV - Theologic interaction - - - - Part II - Unified Field Th...

Albrecht Durer Albrecht Durer was born in Nurembourg in May 21, 1471. His father, Albrecht Durer was a goldsmith, he had come from Germany to Nurembourg in 1455 and married Barbara Holper. Barbara's father was Albrecht's master. Albrecht was his father's third son. He was named Albrecht because of a family tradition which he has been the third representative so far. Albrecht had three brothers named Laszlo, Albrecht, and Ajtos. Albrecht was apprenticed to his father at the age of 13. His father...

Braque Although George Braque (May 13, 1882 - Aug. 31, 1963) was one of the most influential painters of the twentieth century his name is all but forgotten. He has received little credit for his efforts towards the creation of analytic cubism. Many art historians believe that his prestigious role as father of analytic cubism was cut short because of Picasso's fame. Many arguments have arisen asking the question: Who is the father of cubism? There is no doubt that Picasso started the spark wh...

Pythagoras Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some of the books which they wrote, we have nothing of Pythagoras's writings. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a ...

Taoism Classical Chinese theory of mind is similar to Western folk psychology in that both mirror their respective background view of language. They differ in ways that fit those folk theories of language. The core Chinese concept is xin (the heart-mind). As the translation suggests, Chinese folk psychology lacked a contrast between cognitive and affective states ([representative ideas, cognition, reason, beliefs] versus [desires, motives, emotions, feelings]). The xin guides action, but not ...

Anaximander With his discoveries, Anaxamander of Miletus attempted to bring the realm of the unreal to the world where common man could conceive it. As successor and pupil of Thales of Miletus, Anaxamander worked on the fields of geometry, natural science, and astrology. The culmination of his life attempted to define the indefinite or undetermined. He was the first to discover and apply the theory of the unlimited. For a philosopher of this time period, he had many radical ideas. Anaxamander b...

Descarte`s Cartesian Doubt In his first meditation, Descartes sets out with amazing clarity and persistence to clear himself of every false idea that he has acquired previous to this, and determine what he truly knows. To rid him of these rotten apples he has developed a method of doubt with a goal to construct a set of beliefs on foundations which are indubitable. On these foundations, Descartes applies three levels of skepticism, which in turn, generate three levels at which our thoughts ma...

Plato's Meno Throughout history, philosophers have sought to understand the nature of true knowledge and how to achieve it. Most believe that true knowledge is acquired empirically, and not latent in our minds from birth. In Plato's Meno, Socrates argues in favour of the pre-natal existence of knowledge, the opposite of this proposal: that knowledge is essentially latent, and is brought to light through questioning. The erisitic paradox, which stems from this view of knowledge, states that if y...

Science And Philosophy In my analysis of the philosophy of science, I will attempt to give an analysis of Aristotle's demonstration and scientific knowledge starting points and how they apply to his theory, his definition in sciences, and scientific enquires of the various questions posted as well as his ideals of explanation, which gives clear ideal of his theory points in his premises. Aristotle starting points of sciences are definitions, existence proposition and general logical truth, whic...

History Of Physics Physics began when man first started to study his surroundings. Early applications of physics include the invention of the wheel and of primitive weapons. The people who built Stone Henge had knowledge of physical mechanics in order to move the rocks and place them on top of each other. It was not until during the period of Greek culture that the first systematic treatment of physics started with the use of mechanics. Thales is often said to have been the first scientist, and ...

Albert Einstein Albert Einstein, perhaps the greatest mind ever to have walked the face of the earth, was born on March 14, 1879 in Ulm, Germany. As a boy, he hated school, and felt that the regimented and repetitive nature of schooling in Germany at that time had any promise of helping his future. He did not do well in school, mainly because he did not care to learn what was being taught to him. While he seemed to be a bright child, his schoolwork did not interest him, but at the same time the...

Rene Descartes lived from 1596 to 1650. He was a French mathematician, philosopher, and anatomist. He contributed to modern ideas, mainly those associated with science, rational thought, and the scientific method. He was born in La Haye, a city in central France. His father was a lawyer and left him an annual income for life. He attended the college of Henri IV at La Fleche when he was 10, ordered by his father. Descartes left La Fleche in 1614 to study civil and anon law at Poitiers and two yea...

One of the smartest people ever to live, Albert Einstein, changed our society's development forever with his views, theories, and developments. Einstein was born in Ulm, Germany on March 14, 1879. He was the only son of Hermann and Pauline Kech Einstein. He spent his youth in Munich, where his family owned a small electrical equipment plant. He did not talk until the age of three and by the age of nine, was still not fluent in his native language. (Discovering World History) His parents were act...

Carl Gauss was a man who is known for making a great deal breakthroughs in the wide variety of his work in both mathematics and physics. He is responsible for immeasurable contributions to the fields of number theory, analysis, differential geometry, geodesy, magnetism, astronomy, and optics, as well as many more. The concepts that he himself created have had an immense influence in many areas of the mathematic and scientific world. Carl Gauss was born Johann Carl Friedrich Gauss, on the thirtie...

Carl Gauss Carl Gauss Carl Gauss was a man who is known for making a great deal breakthroughs in the wide variety of his work in both mathematics and physics. He is responsible for immeasurable contributions to the fields of number theory, analysis, differential geometry, geodesy, magnetism, astronomy, and optics, as well as many more. The concepts that he himself created have had an immense influence in many areas of the mathematic and scientific world. Carl Gauss was born Johann Carl Friedrich...

The Republic by Plato (427 - 347 B.C.) The Republic by Plato (427 - 347 B.C.) Book Overveiw (The Republic is an examination of the Good Life; the harmony reached by applying pure reason and justice. The ideas and arguments presented center on the social conditions of an ideal republic - those that lead each individual to the most perfect possible life for him. Socrates Plato's early mentor in real life - moderates the discussion throughout, presumably as Plato's mouthpiece. Through Socrates' p...

Economic Geography ECONOMIC GEOGRAPHY ECONOMIC GEOGRAPHY INDEX: 1) Introduction 2) Historical Path 2.1 Germanic Geometry 2.2 Social Physics 2.3 Cumulative Causation 2.4 Local Extenal Economies 2.5 Land Rent and Land Use 3) Krugma ECONOMIC GEOGRAPHY INDEX: 1) Introduction 2) Historical Path 2.1 Germanic Geometry 2.2 Social Physics 2.3 Cumulative Causation 2.4 Local Extenal Economies 2.5 Land Rent and Land Use 3) Krugman's model 3.1 What is about 3.2 The formal model 3.3 Summary 4)Conclusion 4.1 W...

The Viking age has long been associated with unbridled piracy, when freebooters swarmed out of the northlands in their longships to burn and pillage their way across civilized Europe. Modern scholarship provides evidence this is a gross simplification, and that during this period much progress was achieved in terms of Scandinavian art and craftsmanship, marine technology, exploration, and the development of commerce. It seems the Vikings did as much trading as they did raiding. The title Viking...

Ancient Egyptian Mathematics Ancient Egyptian Mathematics The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic, with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry, they were able to correctly calculate the areas of triangles, rectangles, and trapezoids and the volumes of figures such as bricks, cylinders, and pyramids. They were also able to build the Great Pyrami...

Emperor K'ang-hsi ruled China from 1661 to 1722 and his reign is captured by Jonathan D. Spence's book Emperor of China. The different chapters of the book deal with certain aspects of the Emperors life. Aspects that the history books to normally deal with. The information in Spence's book is based on Emperor K'ang-hsi's correspondence, his own writings. This writing maybe biased towards himself, but no other piece of information could provide insight into his mind. The book is divided into six ...

An Analysis of the Philosophy of Science In my analysis of the philosophy of science, I will attempt to give an analysis of Aristotle's demonstration and scientific knowledge starting points and how they apply to his theory, his definition in sciences, and scientific enquires of the various questions posted as well as his ideals of explanation, which gives clear ideal of his theory points in his premises. Aristotle starting points of sciences are definitions, existence proposition and general lo...

Issues Of Mannerism Issues of Mannerism The movement in painting that is now referred to as Mannerism began in Italy around 1520, influenced artists throughout Europe, and lasted until the end of the 16th century. The word Mannerism originates from the Italian word maniera which translates into the English word style. The basis of Mannerism then is style; it's a period of art where the focus was on grace and beauty. While preceding trends of Renaissance art looked to nature to find their style, ...

Fiber Optics Thesis: Some of the important features of the fiber optics that we are interested are discussed below. Now a days we are using copper wires as they are the most cost effective and reliable interconnect in parallel machines. However as machines grow more powerful, wire density becomes critical making fiber possible alternatives because of their small wire size. Fiber optics are used mainly to use effectively its high bandwidth. On a single fiber lots of information/data can be transm...

Graduation Test What is a test? The Websters New American Dictionary defines a test as a critical examination or evaluation. The World Book 2000 Encyclopedia defines testing as an attempt to measure a persons knowledge, intelligence, or other characteristics in a systematic way. The Wisconsin 2004 freshmen will have to take a graduation test in order to graduate their senior year. They have four chances to pass the graduation examination. This paper will explain how the current requirement...

Education And Egalitarianism In America Education and Egalitarianism in America The American educator Horace Mann once said: As an apple is not in any proper sense an apple until it is ripe, so a human being is not in any proper sense a human being until he is educated. Education is the process through which people endeavor to pass along to their children their hard-won wisdom and their aspirations for a better world. This process begins shortly after birth, as parents seek to train the infant t...

Machiavelli: Man Or Monster? When most people think of the word Machiavelli, they usually think of evil. Nicolo Machiavelli is often thought of as a devil. Indeed, shortly after the books publication, he was vilified. Only recently has he started to be thought of as a perceptive analyst, with a unique knowledge of human nature (Curry, 5). Francis Bacon, a noted writer, philosopher, scientist, and mathematician, has been quoted as saying, We are much beholden to Machiavelli and others, that wri...

Decartes Method Descartes Method of Doubt Biography Rene Descartes (1596-1650) Born in La Haye, a small town in Touraine, France. Educated at the Jesuit college Wrote Meditations Descartes is extremely important to Western intellectual history Contributions in physiology, psychology, optics, and especially mathematics Introduced analytic geometry Influential in modern scientific approach (cant just say its true, show its true) The Cartesian Method Descartes is very concerned with skeptical q...

Pythagoras Born between 530-569 B.C. Pythagoras of Samos is described as the first pure mathematician. Pythagoras father was Mnesarchus of Tyre and Pythais of Samos. Mnesarchus was a merchant who was granted citizenship after he brought corn to Samos during a famine. The citizenship was an act of gratitude. There are accounts that Pythagoras traveled widely with his father, even back to his fathers home, Tyre and Italy. During these travels Pythagoras was educated by Chaldaeans and learned s...

Art Upsets, Science Reassures Art upsets, science reassures (Braque) Analyse and evaluate this claim. The difference between; reality and fantasy, an accurate representation of what is, and a brilliant orchestration of the mind, can often become blurred with the paintbrush of an artist. Yet, as Braque would surely agree, there are certain areas knowledge that only serve to reify our reality, saving us from delving into the fantastic chasm of questions arising from art. This specific area is of...