Dilation is a transformation that preserves homographic relations between two segments as homothetic, besides being parallel to each other, so determines and maintains similar figures angular relations (is in accordance).
Its main application is the determination of geometry problems with area ratios in similar figures; It is also useful for solving some exercises tangencies.
Problems of determination with known radius circles that meet geometric constraints are exercises of a similar nature to those seen for straight. Estos se resuelven mediante la intersección de lugares geométricos.
En particular, if we consider the line as infinite radius circumference, estaremos por tanto en el caso estudiado de determinación de rectas con condiciones angulares.
The determination of a line in the plane requires two geometric constraints; among the employed conditions are the pass or membership of a point and angular type (form an angle with another line or circle).
Discuss the angular relation of a given condition to provide a method of obtaining solutions for reducing problems tangency circumference, valid for one or two angular conditions.
Geometric elements in the plane intersecting, lines and circles, can characterize its intersection by a value called angle.
The notion of angle between two lines is the most elementary, and serves as a reference to define the angle between line and circle or two circles forming.
The so-called fundamental problem of tangents may occur with respect tangency conditions of a circle, instead of a straight.
Conceptually we can assume that the above is a particular case of this, if we consider the straight as a circle of infinite radius.
In both cases therefore apply similar reasoning for resolution, based on the concepts learned power.
Classically tangencies problems have been studied looking geometric constructions of each case study.
The concepts of power of a point on a circle can address the problems with a unifying approach, so that any tangency or incidences statement generally be reduced to a more generic fundamental problem tangents denominate (PFT).
Along with the concepts of power, Geometry triangle solves proportional means obtaining by known theorems height and Hick.
Before stating these theorems and deduce, recall some basic concepts of proportionality to understand what it is that we can solve with constructs derived from these geometric models.
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El concepto de potencia de un punto respecto de una circunferencia se basa en el producto de la mayor por la menor de las distancias de un punto a una circunferencia.
These distance values are given in the string that contains the center of the circle and the point, namely, in diameter containing said point.
Is it possible to generalize this concept to consider other strings passing through the point P?
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As in other chaos, image can be seen in wallpaper format 1280×1024 pulsando con el ratón.
An animated pages for use in construction gif.
Made with 20 frames modeled in blender, converted to animated gif with him exporter of files Gimp.
Size 320 Kb.
Resolución 300 x 200
