Basic Geometry

the angle between a straight line and a plane the angle between the straight line and its projection on the plane. Consequently the projection of a straight line op on a plane which it meets at O

All of the above coin are identical in their shape and size. If tracing were made of one of tem, it could be placed so as to coincide exactly with any of the others. Such figures are said to be congruent. Such a correspondence is called a congruent between the two triangles and is represented by the symbol …… Some theorem of congruence triangle I. If the three sides of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent. II. If two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, then the triangles are congruent. III. If two angles and the included sides of one triangle are equal to the corresponding parts of another triangle, then the triangle, then the triangles are congruent. IV. If correspondence of two triangles or of a triangle with itself such that two angles and the side between them are respectively congruent to the two corresponding angles and the side between them, ...

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...

Geometry is the branch of mathematics. It has been interlocked with many other subjects and different kinds of human activities. As the sets of numbers are the building blocks of Arithmetic and Algebra, sets of points are building blocks of Arithmetic and Algebra, sets of points are geometric ideas that cannot be seen or touched, but many things in everyday life are good approximations of these ideas. Geometry is related to Physical objects and to the experiences of sight and touch. It is a system of ideas, that geometric facts are obtained by reason rather than by observation and that geometry is a matter of logic. These two different above mentioned points of view are two worlds of geometry i.e. Physical and Mathematical. Physical geometry deals with the actual measurements, directly of indirectly, of those properties of physical objects that relate to such idea as distance, angle, size and shape. The word 'Geometry' is derived from two Greek words 'Geo' and 'Me...