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A B C D E F G H I J K L M N O P Q R S T U V W X Y Z ALL You Have Viewed Too Many Free Essays, Term Papers, and Book Reports. Geometry Geometry 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 Euclidean, and Non-Euclidean Geometry is the assumption of how many lines are parallel to another. In Euclidean Geometry it is stated that there is one unique parallel line to a point not on that line. Euclidean Geometry has been around for over thousands of years, and is studied the most in high school as well as college courses. In it’s simplest form, Euclidean geometry, is concerned with problems such as determining the areas and diameters of two-dimensional figures and the surface areas and volumes of solids. Euclidean Geometry is based off of the parallel postulate, Postulate V in Euclid’s elements, which states that, “If a straight line meets two other straight lines so as to make the two interior angles on one side of it together less than two right angles, the other straight lines, if extended indefinitely, geometry, euclidean, lines, two, sphere, hyperbolic, parallel, non-euclidean, appendix, spherical, line, angles, space, plane, triangle, one, area, related, radians, pseudosphere, point, means, circle, between, being, postulate, each, distance, curved, visualize, three, theorems, straight, side, right Word Count: 1671 Acceptance_Essays American_History Anatomy_&_Physiology Animal_Science_&_Zoology Anthropology Architecture Art Astronomy Aviation Biographies Book_Reports Business Computers Creative_Writing Current_Events Economics Education Engineering English Environmental_Science Ethics European_History Film_&_TV Foreign_Languages Geography Government_&_Politics Health_&_Beauty History_Other Human_Sexuality Legal_Issues Marketing Mathematics Medicine Miscellaneous Music Mythology Philosophy Physics Poetry Political_Science Psychology Religion Science Shakespeare Social_Issues Sociology Speech Sports_&_Recreation Supernatural Technology Theater Theses_&_Dissertations

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