# Free Geometry Essays and Papers

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However, in baking geometry has a bigger role in the presentation of the good rather than the building of it. For example, if baking a batch of Christmas cookies you will utilize geometry to find the various shapes you want to create. You will use different size circles in order to create a snowman. The snowman will be 4 inches in diameter and will decrease

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Guessing in Geometry Hypothesis 1- I predict that if people are good at guessing the length of a line they will be good at guessing the degrees of an angle. 2- I predict that the higher the schooling year the better the estimate. Target population I have decided to investigate within the schooling ages of 7 and 9 firstly because these are easily available to collect due to having timetables and knowing where all the students will be when needed to guestimate. Another reason

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the Greek culture contributed to geometry and how they used it. It is almost unavoidable for a student in nearly any math course, regardless of level, to hear about famous Greek mathematicians. This is because they made so many discoveries that are directly related to many of the math principles in use today. A small example of this idea is that we are in an entire course dedicated to geometry. This is for a good reason, because as I will now discuss, the geometry discoveries of the Greeks are invaluable

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## Fractal Geometry

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Fractal Geometry In the past, mathematics has been concerned largely with sets and functions to which the methods of classical calculus could be applied. Sets or functions that are not sufficiently smooth or regular have tended to be named as " pathological" and not worthy of study. They were regarded as individual curiosities and only rarely were thought of as a class to which a general theory might be applicable. However, in recent years this attitude has changed. Irregular sets provide a

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## Fractal Geometry

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Fractal Geometry 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 one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an

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Believe it or not, Geometry is actually useful! All our lives we have been told that we would use this in our lives and we have thought “no we won't.” but we do use it in life. Geometry is used for home decorating. Also architects use it for home building. The architects use the golden rule or Pie is the ratio found in all of life. Humans have incorporated it into everything from mathematics, to artwork, and music. Pie is 3.14159265359 and it continues on for ever. It is found in everything from

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Euclidean Geometry is the study of plane and solid figures based on the axioms and theorems outlined by the Greek mathematician Euclid (c. 300 B.C.E.). It is this type of geometry that is widely taught in secondary schools. For much of modern history the word geometry was in fact synonymous with Euclidean geometry, as it was not until the late 19th century when mathematicians were attracted to the idea of non-Euclidean geometries. Euclid’s geometry embodies the most typical expression of general

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evolved from simple counting and measurement to shaping the earth's economy, government, and humanity(Shah). Geometry, being one of the key concepts in mathematics, entails such detail in points, lines, surfaces, shapes, and angles(NYU Engineering). People come across those properties in their everyday lives and careers. Careers normally involve problem solving, which is a massive part of geometry. While solving those daily tasks, the task is normally put into some sort of geometric equation(Thelwall)

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Most of geometry is based on two main constructions, circles and straight lines. In geometry, there are many different tools used for construction such as the compass, the straightedge, carpenter’s square, and mirrors. (Princeton) A compass is an instrument that is used to help draw circles. The two most well-known compasses are the modern compass and the collapsible compass. The straightedge is a tool that has no curves. It is used to draw straight line when knowing two points. (Princeton) The only

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Differences in Geometry Geometry is the branch of mathematics that deals with the properties of space. Geometry is classified between two separate branches, Euclidean and Non-Euclidean Geometry. Being based off different postulates, theorems, and proofs, Euclidean Geometry deals mostly with two-dimensional figures, while Demonstrative, Analytic, Descriptive, Conic, Spherical, Hyperbolic, are Non-Euclidean, dealing with figures containing more than two-dimensions. The main difference between

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Analytic geometry combines algebra and geometry in a way that allows for the visualization of algebraic functions. Rene Descartes, a French philosopher, and Pierre de Fermat, a French lawyer, independently founded analytic geometry in the early 1600s. Analytic geometry subsequently paved the way for calculus and physics. Fermat was born in 1601 in Beaumont-de-Lomagne, France and initially studied mathematics in Bordeaux with some of the disciples of Viete, a French algebraist (Katz 2009). He went

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and Elements of Geometry.” Geometry was derived from the Greek word meaning earth measurement which focuses on the study of shapes, sizes, relative configuration, and spatial properties. Greek mathematician Euclid (300BC) was the first to officially organized geometry into four hundred and sixty five propositions which he later published in thirteen books title “The Elements.” Though he may have been the first to document geometry, it was believed that the practice of geometry began long before

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Geometry, which etymologically means the measurement of the earth in Greek, is a mathematical concept that deals with points, lines, shapes, and space. It has been developed from pre-historic era with ancient Greeks and Egyptians, and is still used in the area of art, architecture, engineering, geology, and astronomy. In ancient societies, while the ancient mathematicians or philosophers such as Plato, Pythagoras, Thales, and Aristotle expanded the different areas of math, philosophy, and science

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Euclid and the Birth of Euclidean Geometry The ancient Greeks have contributed much to the development of the Western World as we know it today. The Greeks questioned all and yearned for the answers to many of life’s questions. Their society revolved around learning, which allowed them to devote the majority of their time to enlightenment. In answering their questions, they developed systematic activities such as philosophy, psychology, astronomy, mathematics, and a great deal more. Socrates (469-399

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In this essay the conic sections in taxicab geometry will be researched. The area of mathematics used is geometry. I have chosen this topic because it seemed interesting to me. I have never heard for this topic before, but then our math teacher presented us mathematic web page and taxicab geometry was one of the topics discussed there. I looked at the topic before and it encounter problems, which seemed interesting to explore. I started with a basic example, just to compare Euclidean and taxicab

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Euclidean Geometry is a type of geometry created about 2400 years ago by the Greek mathematician, Euclid. Euclid studied points, lines and planes. The discoveries he made were organized into different theorems, postulates, definitions, and axioms. The ideas came up with were all written down in a set of books called Elements. Not only did Euclid state his ideas in Elements, but he proved them as well. Once he had one idea proven, Euclid would prove another idea that would have to be true based on

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become more partial to one theory than to another. After all, this is why the Great Pyramid is one of the Seven Wonders of the World. Whether it was intentional or not, the Egyptians created a worldly masterpiece of a monument. The intervention of geometry into the building of the pyramids provides for the early stages of architectural aspects. These days every building is geometrically sound. It is much easier for architects to design their buildings geometrically these days than it was for the builders

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When it comes to Euclidean Geometry, Spherical Geometry and Hyperbolic Geometry there are many similarities and differences among them. For example, what may be true for Euclidean Geometry may not be true for Spherical or Hyperbolic Geometry. Many instances exist where something is true for one or two geometries but not the other geometry. However, sometimes a property is true for all three geometries. These points bring us to the purpose of this paper. This paper is an opportunity for me to demonstrate

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centuries, Euclid's geometry adequately described physical theories. Though Substantiavilists and Relationists were in disagreement as to whether space was causal or not, there was an agreement that Euclid's geometry fitted. However, in 1904, Einstein published his theory of special relativity (hereby referred to as SR). This could not be described by Euclidean geometry: it required a new way of thinking. The leading solution was Minkowski's geometry. I will touch on both geometries in this paper, and

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## Sacred Geometries

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both located in London, England, by showing how their shapes and forms can be broken down and analyzed in order to find similar geometries. Is it possible that sacred geometries still exist in powerful architecture being designed by world-renowned architects today? Vitruvius, a first century Roman author, architect, and engineer talks about the importance and impact on geometry in architecture, which includes the use of the perfect square and the golden ratio. He also talks about the fact of what architecture

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