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Geometry - Essay

Geometry

Plane (or Euclidean) geometry is the branch of mathematics that studies figures (such as points, lines, and angles) constructed only with the use of the straightedge and the compass. It is primarily concerned with such problems as determining the areas and diameters of two-dimensional figures. To determine geometric designs four important tools of geometry—compass, straightedge, protractor, and ruler—are used. Technically a true geometric construction with Euclidian tools, originally used by the ancient Greeks, uses only a compass or a straightedge. The ruler and protractor were later inventions. Today, the study of geometry is an essential part of the training of such professionals as ...

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or figure to be constructed by the use of the straightedge and compass alone. Simple examples are the construction of a line that will be twice as long as another line, or of a line that will divide a given angle into two equal angles.

Basic Tools

Straightedge. A straightedge is a geometric tool used to construct straight lines. It contains no marks. As the name says, it is a "straight edge." A ruler can be used as a straightedge by simply ignoring the measuring marks on it.

Ruler. A ruler is a geometric tool used to measure the length of a line segment. A ruler is basically a straightedge with marks usually used for measuring either inches or centimeters. To use a ruler, place the zero mark on the point to begin the measurement. To stop measuring, look at the mark on the ruler that lies over the point at which the measurement is to end.

Compass. A compass is a V-shaped tool used to construct circles or arcs of circles. (See sketch below on left.) One side of the "V" ...

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Added: 4/17/2011 12:48:54 PM
Submitted By: lvableshyness
Category: Education
Type: Premium Paper
Words: 969
Pages: 4

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