# Geometry It Is

Egypt
Egypt More than 5,000 years ago, many great civilizations flourished with great power all through out portions of Egypt and Southwest Asia. Due to their astonishing land marks (many of them still erect), to there great ability to understand sciences and math, and to their religion that is still practiced by many; The Egyptian Civilization is the best known. The Nile River Valley, and the hot, vast desert that is sprinkled with a few small oasises, was once home to these humans over 5,000 yeas a
Architecture
Architecture One career that I have been interested in for a long time is architecture. Architects are involved in the negotiation, design, and the supervision of construction of a clients request. This may be from something as simple as a house add-on, to something as grande as a shopping mall. Architecture has interested me for many years. I have always enjoyed the great detail and thorough drawings that are involved. The past two years I have taken the COPS and the CAPS tests, and both of th
John Wallis Was Born On November 23, 1616 In Ashford, Kent,
John Wallis was born on November 23, 1616 in Ashford, Kent, England.When Wallis moved from his school in Ashford to Tenterden, he showed his potential for the first time as a scholar. In 1630 he went to Felted where he became proficient in Latin, Greek, and Hebrew. He later went to Emanual College Cambridge and became first interested in mathematics. Because nobody at Cambridge at this time could direct his mathematical studies, his main topic of study became divinity and was ordained in 1640.
GEOMETRY IN NATURE
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.
Sir Isaac Newton Was Born On December 25, 1642 At Woolsthorpe, Near Gr
Sir Isaac Newton was born on December 25, 1642 at Woolsthorpe, near Grantham in Lincolnshire. When Isaac was three years old his mother left him in the care of his grandmother to get remarried. After his mother was widowed a second time, she sent Isaac to grammar school in Grantham. He was later sent to Trinity College, at the University of Cambridge in the summer of 1661. Newton received his bachelor's degree in 1665. After avoiding college because of the plague he returned to Trinity, which e
TOK E5
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
Blaise Pascal Was Born At Clermont On June 19, 1623, And Died In Paris
Blaise Pascal was born at Clermont on June 19, 1623, and died in Paris on Aug. 19, 1662. His father, a local judge at Clermont, and himself of some scientific reputation, moved to Paris in 1631, for two main reasons, to prosecute his own scientific studies, and to carry on the education of his only son, who had already displayed exceptional ability. Pascal was kept at home in order to ensure his not being overworked. Surprisingly, Pascal's family directed his education to foreign languages and
Archimedes
Archimedes Archimedes was born in 287bc in Syracuse, Sicily. He was then killed in 212bc during the capture of Syracuse, second Punic War. Archimedes was working on one of his diagrams when a Roman soldier approached him and asked him to come with him. (As the soldier was told to capture him alive.)Archimedes refused to leave his drawing and the impatient soldier killed him on the spot. It was a tragic end to who maybe the greatest founder of geometry and calculus. He simply just had great enjo
Robin Yamaguchi
Robin Yamaguchi Math 13 March 21, 1999 Rene Descartes In the recent hit movie The Net, the character played by Sandra Bullock has her identity erased. Everyone doubted her existence. This was not, however, the first time someone's existence was questioned. In the early 17th century a philosopher, who is named Descartes, questioned his own existence. His life was dedicated to the founding of a philosophical and mathematical system in which all sciences were coherent. Descartes was born in 1596 i
Fractal Geometry
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 O
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 Captu
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
Pythagorean Theorm
Pythagorean Theorm The Pythagorean Theorem is a geometrical expression used often in math and physics. It used to 2 2 2 find the unknown side of a right triangle. The exponential form of this theorem a + b = c . That is the equation you use when you are looking for the unknown side of a right triangle, and it is what I'll demonstrate on the attached exhibit. The upside down capital L in the bottom of the left hand corner indicates that sides A & B are the legs of the triangle. Since we know side
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 to behave as their culture demands. They
Ideas Of The Parthenon
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
Dilation
Dilation Dilation Dilation has been used for millions of years. Even in the ancient times and still we use it until this day. An example of dilation used in ancient times is when ancient Egyptians built the pyramids. The pyramids were built in different sizes, but proportional. Now in this day and time we use dilation in many aspects. Dilation is used in both science and math. In science the microscope shows dilation, without microscopes many of the scientific discoveries wouldn't be possible! I
Bruce Goffs Bavinger House
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
Should Frank Lloyd Wright
Should Frank Lloyd Wright Natalie DeFrancesco Class 02 Frank Lloyd Wright 12/4/1999 Bibliography Frank Lloyd Wright was born on June 8th, 1867 in Wisconsin. His heritage was Welsh. His father's name was William Carey Wright; his occupation was a musician and a preacher of his faith, Unitarian. His mother's name was Anna Lloyd Jones; her occupation was a schoolteacher. It was said that his mother placed pictures of great buildings on the walls of his nursery in order to train him to become an arc
Analysis Of A Drawing For Art His Class
Analysis Of A Drawing For Art His Class Analysis of 'Chance Meeting' by Martin Lewis 'Chance Meeting' is a dry point etching print by Martin Lewis and was created in the early 1930's. The subjects are two figures, male and female, who have happened upon each other in the setting of a public sidewalk at the entrance of a storefront. It may be a dichotomy in terms to call the piece, Idealized Urban Realism, though Lewis' work does harmonize well with the Urban Realist movement surfacing in this pe
Galileo Galilei
Galileo Galilei Galileo Galilei's father, Vincenzo Galilei (c.1520 - 1591), who described himself as a nobleman of Florence, was a professional musician. He carried out experiments on strings to support his musical theories. Galileo studied medicine at the university of Pisa, but his real interests were always in mathematics and natural philosophy. He is chiefly remembered for his work on free fall, his use of the telescope and his employment of experimentation. After a spell teaching mathematic
Black Holes
Black Holes stence. The Search for Black Holes: Both As A Concept And An Understanding For ages people have been determined to explicate on everything. Our search for explanation rests only when there is a lack of questions. Our skies hold infinite quandaries, so the quest for answers will, as a result, also be infinite. Since its inception, Astronomy as a science speculated heavily upon discovery, and only came to concrete conclusions later with closer inspection. Aspects of the skies which at
Strain Transformation
Strain Transformation California State University, Northridge College of Computer Science and Engineering Department of Civil and Manufacturing Engineering STRAIN TRANSFORMATION Submitted to: Nazaret Dermendjian Submitted for: Applied Mechanics 340 Date requested: April 6, 1999 Date due: April 27, 1999 Date submitted: April 27, 1999 The following report will be on Strain Transformation. Strain transformation is similar to stress transformation, so that many of the techniques and derivations used
Analytic Geometry
Analytic Geometry Analytic geometry was brought fourth by the famous French mathematician Rene' Descartes in 1637. Descartes did not start his studying and working with geometry until after he had retired out of the army and settled down. If not for Descartes great discovery then Sir Isaac Newton might not have ever invented the concept of calculus. Descartes concept let to calculus and Newton and G.W. Leibniz would not be know as well as they are today if it were not for the famous mathematicia
Chronological Order
Chronological Order -399 pythagoreans discover irrational numbers -240 Eratosthenes determines circumference of earth -230 Archimedes determines fromulas for the area of a secton of a parabola formulas for the area of a section of a parabola -200 Appollonius studies conic sections -200 Euclid writes Elements -100 Hipparchus develops the trig tables 825 Al-Khowarizmi uses Zero 1525 Rudolff introduces the radical sign 1535 Tartaglia solves cubic equations 1545 Square roots of negative numbers 1557
Cayleys Sextic
Cayley's Sextic The curve, Cayley's Sextic can be described by the Cartesian equation: 4(x^2 + y^2 ? ax)^3 = 27a^2(x^2 + y^2)^2. It is the involute of a nephroiod curve because of its slight kidney shape and because they are parallel curves. This curve was first discovered by a mathematician by the name of Colin Maclaurin. Maclaurin who was born in February of 1698, became a student at Glasgow University in Scotland during his early teen years. It was here that he discovered his abilities in mat
Euclid
Euclid Euclid of Alexandria is thought to have lived from about 325 BC until 265 BC in Alexandria, Egypt. There is very little known about his life. It was thought he was born in Megara, which was proven to be incorrect. There is in fact a Euclid of Megara, but he was a philosopher who lived 100 years before Euclid of Alexandria. Also people say that Euclid of Alexandria is the son of Naucrates, but there is no proof of this assumption. Euclid was a very common name at that time, so it was hard
Emilie Du Chatlet
Emilie Du Chatlet EMILIE DU CHATLET Born in Paris on December 17, 1706, Emilie du Chatlet grew up in a household where the art of courting was the only way one could recieve a place in society. During her early childhood, Emilie began to show great improvement in the area of academics that soon she was able to convince her father that she needed attention. She studied Latin, Italian and English. She also studied Tasso, Virgil, Milton and other great scholars. In spite of her talents in the area
Rene Descartes Analytic Geometry
Rene' Descartes Analytic Geometry Analytic geometry was brought fourth by the famous French mathematician Rene' Descartes in 1637. Descartes did not start his studying and working with geometry until after he had retired out of the army and settled down. If not for Descartes great discovery then Sir Isaac Newton might not have ever invented the concept of calculus. Descartes concept let to calculus and Newton and G.W. Leibniz would not be know as well as they are today if it were not for the fam
Euclid
Euclid Euclid is one of the most influential and best read mathematician of all time. His prize work, Elements, was the textbook of elementary geometry and logic up to the early twentieth century. For his work in the field, he is known as the father of geometry and is considered one of the great Greek mathematicians. Very little is known about the life of Euclid. Both the dates and places of his birth and death are unknown. It is believed that he was educated at Plato's academy in Athens and sta
R. Buckminster Fuller
R. Buckminster Fuller Richard Buckminster Fuller was an enginer, mathemitican, and an architect. Twice expelled from Harvard University, buisiness disasters and the death of his four year old daughter brought him close to suicide. He decided to devote his life to proving that technology could save the world from itsself, providing it is properly used. He examined a vertorial system of geometry, Energetic-Synergetic geometry, based on the tetrahedron which provides maximum strength with inimum st
Pythagorean Triples
Pythagorean Triples Pythagorean Triples Three integers a, b, and c that satisfy a2 + b2 = c2 are called Pythagorean Triples. There are infinitely many such numbers and there also exists a way to generate all the triples. Let n and m be integers, n*m. Then define(*) a = n2 - m2, b = 2nm, c = n2 + m2. The three number a, b, and c always form a Pythagorean triple. The proof is simple: (n2 - m2)2 + (2mn)2 = n4 - 2n2m2 + m4 + 4n2m2 = n4 + 2n2m2 + m4 = (n2 + m2)2. The formulas were known to Euclid and
Stifel And Roberval
Stifel And Roberval Michael Stifel Michael Stifel was a German mathematician who lived in the late fifteenth century and early to mid-sixteenth century. He was born in 1487, in Esslingen, Germany. The exact date of his birth is unknown. Stifel died on April 19, 1567, in Jena, Germany. His father was Conrad Stifel, a well-respected member of the community. When Michael was young his family did not have much money. Not much is known about Stifel's life until the time he attended the University of
Taoism
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
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 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
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
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
The Life Of Benjamin Franklin
The Life of Benjamin Franklin When one takes a look at the world in which he currently lives, he sees it as being normal since it is so slow in changing. When an historian looks at the present, he sees the effects of many events and many wise people. Benjamin Franklin is one of these people. His participation in so many different fields changed the world immensely. He was a noted politician as well as respected scholar. He was an important inventor and scientist. Particularly interesting is the
Philosophy
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
Albert Einstein
Albert Einstein Albert Einstein was one of a few scientists that change the way we look at the world Today. He was born in 1879 and die on 1955. In that time he made many theories on how the world works. Einstein got married twice once to a class mate and once his cousin. Einstein also like music and he played the violin. Albert Einstein is on of few scientist who had changed the way the world works today. Albert Einstein was born in Ulm Germany on March 14 1879. He died in Princeton on April 1
Descartes Was A Jack Of All Trades, Making Major Contributions To The
Descartes was a jack of all trades, making major contributions to the areas of anatomy, cognitive science, optics, mathematics and philosophy. Underlying his methodology is the belief that all science is based on mathematics. This is manifested in his unification of ancient geometry and his new alegbra based on the Cartesian coodinate system. For Descartes, certainty in philosphy and in mathematics is gained through understanding. We may know that two apples and two apples makes four apples,
The Life Of Rene Descartes
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
Porsche
Porsche I have narrowed down my project to just Porsche vehicles. I am not going to talk about the man behind the car to much. I have found several web sites that have criteria about Porsche and their different models and their performance. I will discuss these subjects along with others. The history of Porsche will be discussed. I will also talk about some different models such as the 911 GT3. I will also discuss the GT1 and GT3 race seriesI will also discuss Porches latest press releases. His
Egypt
Egypt More than 5,000 years ago, many great civilizations flourished with great power all through out portions of Egypt and Southwest Asia. Due to their astonishing land marks (many of them still erect), to there great ability to understand sciences and math, and to their religion that is still practiced by many; The Egyptian Civilization is the best known. The Nile River Valley, and the hot, vast desert that is sprinkled with a few small oasises, was once home to these humans over 5,000 yeas a
Entertainment And Education
Entertainment and Education Both entertainment and education have been integrals parts of the human experience since the beginnings of time. Many scholars insist that the two institutions often serve jointly, with entertainers and entertainment serving as a main source of education. There is little argument, then, that in addition to generally appealing to the masses, entertainers have regularly fulfilled the role of a teacher to typically unsuspecting audiences. Entertainers have served as educ
W.C. BRYANT H.S. Stefanos Tsartsalis
W.C. BRYANT H.S. Stefanos Tsartsalis MATH- 02 4/29/98 ARCHIMEDES (287-212 BC.) Archimedes was the first scientist to use the power of the lever. This gifted Greek mathematician and inventor once said, Give me a place to stand and rest my lever on, and I can move the Earth. He also discovered the compound pulley and Archimedes'screw. Archimedes was a brilliant mathematician who helped develop geometry. He discovered the relation between the surface area and volume of a sphere and those of its c
Why Is There Gravity?
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
SOUNDOFF--A Computer For All Students--Revisited
SOUNDOFF--A Computer for All Students--Revisited The introduction of the graphing calculator has changed the structure of teaching and learning mathematics. This made it possible for everybody to receive the benefits of a computer-generated visualization without the high cost of a computer. These graphing calculators over the years have lowered in cost, became easier to use, and are more portable. The next generation of graphing computers has arrived with the recent introduction of the Texas Ins
The Avant-Garde Architecture Of I.M. Pei
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