Geometric problems can be addressed with different strategies to simplify the analysis and resolution. We can usually fit them into families well structured problems specific solutions to suit each particular problem.
Here is a basic problem in geometry “dress” or “adapted” to a technological application, suppose particularly for defining a part geometric conditions need angular constraints given by.
In my regular classes I use resources available in the network. At the Polytechnic University of Madrid computing platform is home to Moodle courses. This platform has the disadvantage of being closed for people who are not registered in the courses, as it is for internal use.
The universalization of knowledge is to allow free access to content and the blog can be used as a showcase for this purpose, either as a means of publishing content themselves or simply as a tool to link multiple thematic content of interest every day browsing with search engines meeting.
Retrieving some items from my students, that might disappear when deleting their blogs from the experience of educational innovation, I've seen this group Protagoras linking pi polygons and playfulness in a very successful.
The educational approach in the form of competition is a valuable resource that does not have to lose the rigorous training approaches. On the contrary, knowledge to explore critically and entertaining couple. This group of students has been successful in its approach, already quoted at the time.
One of the first articles I wrote my students in the group “Geometry Hicks” was about the most basic aspects of geometry: Topology. To them I was curious to the concept and, inadvertently, were deepening in the main aspects of an axiomatic logical system geometric: continuity.
We began the experience of introducing educational innovation blogs as tool for energizing the group and we were with this pearl. I never fail to learn from them.
Investment is a transformation that can solve problems with angular conditions. It can be applied directly or used to reduce other problems addressed simplest known nature.
The different approaches with which we can deal with a problem will be studied by developing a simple classic problem of tangents.
The investment is a homographic transformation that preserves the angular relationships (is in accordance). Its main application is the determination of geometry problems with angular conditions including solving are tangents exercises.
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.
