Using a compass and straightedge is the most practical way to construct geometric figures. When Geometry first became a system of mathematics around 300BC Euclid, also known as “The Father of Geometry” would have used tools like a compass and straight edge to make Geometric constructions. To truly understand Mathematics in its entirety it is crucial that we also know the history and where it began. By using a compass and straightedge rather than a drawing program students have the opportunity to understand fully how Euclid and other ancient mathematicians made Geometric constructions. To some using a compass and straightedge may seem old fashioned, but just as we do not use calculators to solve all arithmetic, computerized programs should not

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## Compass And Straightedge

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Compass and Straightedge: Basic Constructions and Limitations In Euclid’s Elements, Book 1, the very first proposition states, “To construct an equilateral triangle on a given finite straight-line.” (Heiberg, Fitzpatrick, Euclid, pg 8) This proposition is saying that it is possible to construct an equilateral triangle from a given segment. Euclid was able to perform this construction with just a straightedge and compass. As The Elements was published in 300 BC (Heiberg, Fitzpatrick, Euclid, pg 4)

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## Why Beauty id Truth by Ian Stewart

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Why Beauty is truth: A History of Symmetry by Ian Stewart is in depth on how mathematicians came about symmetry. Instead of coming across symmetry by geometry as someone today might think, Stewart shows how it became an idea by algebra. Most of the book is told in chronological order from the early Egyptians and Babylonians discovery of the quadratic equation and leading up to the impossibility to solve the quintic equation. Through each chapter we see how mathematicians get one step closer to solving

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## How Did Plato Contribute To Geometry

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Time Plato is one of the greatest mathematicians and teachers of geometry to ever live. To some, he is known as the “maker of math.” He himself made an academy that stressed mathematics as a way of understanding reality. He founded this academy in 387 BCE. According to one website, “... he was convinced that geometry was the key to unlocking the secrets to the universe.” Plato had many contributions in mathematics and geometry that helped in the past and still help in the present. One thing that

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## The History of Math Essay

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relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws

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## William Dunham 's Journey Through Genius

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growing civilizations, most notably counting commodities, taxation, and the division of land equally, rather than a pure desire for understanding that is seen in mathematics today. These influences culminated in the development of early arithmetic and geometry. The first civilization that is discussed is early Egypt. Records have been found referring to mathematics done in Egypt showing a rudimentary understanding of the Pythagorean Theorem as it pertains to the construction of triangles with whole number

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## Analysis Of Interior Of The Pantheon, Roman By Giovanni Paolo Panini

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Romans and other foreign visitors who are visiting the Pantheon to admire the marvellous architecture, chat, and to pray. Panini being a trained expert in theatrical design and architecture has provided a larger view of the interiors of Pantheon than what is possible in real from a single point. The viewpoint is intense while it faces the entrance. Panini's attempt to show the bright blue sky through the oculus in the centre of the dome just adds to the magnificence of the painting. The psychic line

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## Compilation of Mathematicians and Their Contributions

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Science” Contributions: * He is credited with the first use of deductive reasoning applied to geometry. * Discovery that a circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal. * Accredited with foundation of the Ionian school of Mathematics that was a centre of learning and research. * Thales theorems used in Geometry: 1. The pairs of opposite angles formed by two intersecting lines are equal. 2. The base

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## Regular Polygon

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Polygon From Wikipedia, the free encyclopedia Jump to: navigation, search For other uses, see Polygon (disambiguation). Some polygons of different kinds In geometry a polygon ( /ˈpɒlɪɡɒn/) is a flat shape consisting of straight lines that are joined to form a closed chain or circuit. A polygon is traditionally a plane figure that is bounded by a closed path, composed of a finite sequence of straight line segments (i.e., by a closed polygonal chain). These segments are called its edges or sides

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