Geometry forms the basis of moving troops and battlefield fortifications. In the construction of field fortifications, geometry is used to create protective angles that anticipate where an enemy army will attack. With the use of flanking movements, a point of attack on an enemy position can be seen as a geometrical illustration. For example a triangle, with its apex forming the first point of attack on enemy lines, can be drawn up in planning battle tactics. As an aside, the ancient Roman legions had formations that were geometrical in nature. Rectangular formations spaced apart by mathematic calculations were innovative in there time in history.
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Geometry is a field of mathematics and is neither a science nor an occupation. Any other field of mathematics can be related to geometry. Trigonometry and algebra are among the most closely related. Occupations that use geometry include engineering, physics, and astronomy, but many others do as well.
The Babylonians, Egyptians, and Greeks were involved in the early development of geometry. However, the Greeks were major contributors to this field. Pythagoras, Thales, and Euclid are some men most famous for their contributions to this field.
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Analytical geometry is used widely in engineering. It set the foundation for algebraic, differential, discrete, and computational geometry. It is the study of geometry using a coordinate system.