Foundation of Geometry
Foundation of geometry is the study of geometric system that can be constructed in a special fields of mathematics. The word "foundation" can be judged from two different facts. First is the mathematical representation of the geometric nature of physical space that, we want represent mathematically entire of the universe. Second is the system standing by itself, which we can not study and property of a geometric figure in our space until we have established the space, have defined both the property and the figure, and have shown that the figure actually exist in the space. Before we began formal mathematics it is necessary to understand the nature of foundation properties. Some of the main foundation properties are given below. (I) Existence Property An existence property always states that there exists some figure with a given property. The property also states that how many of these figures are there in the system. When theexact number is one then the property is called a...
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