What are geometric constructions?
geometric constructions, also called Euclidean constructions after ancient Greek mathematical Euclide, are geometrically correct figures that are drawn only by compass and direct. When creating a geometric design, measurement of angles and lines are not used and rulers are not used, except equals. This method can be used in designing technical designs in mechanical engineering and as a way of teaching students the basics of geometric theory. It consists of two legs connected by an adjustable center hinge, one leg ending at the tip and the other holding the pencil at the end of the pencil. The device is used by fixing the pointed end on the paper and writing the arch or circle by turning the pencil around this fixed center. Circles and arches of different dimensions can be traced by adjusting the central hinge to a wider or narrower angle. Construction for lines drawing and can be any object with a perfectly straight edge. Rulers are often used, although the designation must be ignored when creating a construction. ElaborationTriangle, which are flat -right plastic or metal triangles used in a technical drawing, are another popular choice for straight, although the angles of the triangle should not be used to create a structure.
Many different geometric characters can only be constructed using the two tools above. For example, to create an equilateral triangle, a line segment is first drawn using direct. Suppose this line has endpoints A and B. The compass is fixed at point A and extended so that the lead pencils touch B. The arch is stretched B to the point above A.
Furthermore, the compass is set at point B and the other arch is drawn using the same radius, so the points intersect the groan AB. With the direct, from this point of the intersection to point A, the line is drawn and others are drawn to point B. The three lines that were created now form a perfect equilateral triangle.
geometric constructions are useful in teaching how geometric characters are related, but are also used in a non -academic environment. Architects and engineers must know the elements of geometric constructions to create precise technical drawings for designing machine or buildings. Although automated computer -supported design systems (CAD) have replaced manual drawing in most engineering settings, geometric constructions are still widely taught as basic information for understanding the principles of design.