Geometric Transformations: Definitions, Isometries, and the Golden Ratio
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Transformation: na transformació is called a vector x a vector x 'in a way that the correspondence is one to one.
Vector: Vectors are oriented segments with direcció n respect n mod aplicació point or size or module, which can apply various operations.
Consistency: The congruences are transformations that do not change the dimensions of a figure in the background. Such transformations are called isometries movements or in the plane
Translation:He said that figure was applied translational motion if all points of the same description line segments parallel, equal and the same direction. It is called translational plane (or space) to any transformation which makes each point P corresponderun point P 'such that the vector PP' has a LENGTH and orientation invariant.
Rotation: It is said that a figure has been applied to a rotary motion about a point in the plane or space where all points describe arcs of circumference having its center at that point.
Helical Movement: It is a composition of translations and rotations, applying one after another, these movements around an axis form a helix.
Symmetry: It is a reflection or mirage or reflexiónespecular about an axis. Given a fixed line is called symmetry r for the same transformation to each point P makes correspond the point P 'such that the line is perpendicular to the segment r PP'en its midpoint.
Symmetry: A mirage or reflection or specular reflection on the ball. Given a fixed point over the same symmetry transformation is that each point P correspond makes another point P 'above the line OP as qu distance from O to Pis equal to the distance from O to P '.
Dilation is a movement or transformation of the plane, it is that each point P, makes a corresponding point P 'located on the ray OP such that the distance is proportional to OP OP'.
Number of Gold: numerical value of the golden section (1.618 ..). It's the perfect proportion and gives two reasons as follows:
"That is, the relationship between the two parties that divide the segment is the number of gold."
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