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The Need of Algebra and Geometry Help

At the secondary level, the geometry is better known as Euclidean geometry and is defined as the study of plane relationships. It begins with a set of ten axioms common language that is built on a single system that both deductive and logical. Currently at least 18 axioms or assumptions that can not be proved, but must be accepted as truth be identified. Dozens of positions are “established” using the basic axioms.

Although the definitive manual on geometry, written by the Greek mathematician Euclid around 300 before the time of Christ, it remains not only the basis for the geometry, but for much of the modern system of numbers. Although Euclid does not arise in a number of concepts, it was the first to present them in a structured logical format. Besides the geometric features, Euclid wrote on number theory and geometry to three dimensions.

Euclid’s Elements has a beauty of the structure and logical reasoning that has been posted and followed for 24 centuries and has been translated into dozens of languages. Although the structure of geometry is the main objective of the book, the presentation of the principles that went far beyond the study of geometry and the study of the allocated most if not all disciplines related to the future of mathematics.

Other studies have shown that work no matter how carefully structured the basic geometry used, a number of assumptions that are unproven in the format is developed. The other problem with the Euclidean geometry is that it is applicable even when the homogeneous spaces, but does not apply as well, where more than three dimensions are zero. Some of the geometry dimensions go as high as 10 or 11 dimension size.

Euclidean geometry as taught in secondary education is critical in the development of thought and organized according to logical principles. Understanding the concepts of logical thinking and drawing conclusions from the principles or the facts may be useful in all areas of life. This is the basis of inductive reasoning.

used traditional geometry compass, protractor and ruler as the instruments for experiments that form the basis of science to perform. The interesting aspect of the geometry is that the originally numerous experiments in which certain facts become clear developed. After numerous measures with the same result, some generalizations can be drawn. However, the basic geometry is not the measure, but inductive reasoning, which begins with the basic concept that the point has no dimension, a line has one dimension, a plane has two dimensions and three dimensions has a solid.

inductive reasoning depends on the measurement and observation, or what is exactly right. Because the measurements are taken, regardless of how many will never be an exception to eliminate the concept in development, a conclusion is usually reached all possible cases were investigated.

This is based on the study of geometry. Based on the measurements, using inductive reasoning to draw conclusions about all possible cases to withdraw. Then, based on the fundamental axioms of probability statements can be defined, known as theorems.

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