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Metric geometry: Circunferencias con condiciones angulares. Solución al Problema I

From the different solutions to the problem are proposed to obtain circumferences with angular conditions ( passing through a point, are tangent to a circle, forming an angle with a straight), we will analyze this solution using the application of the concepts of power used in the “Fundamental Problem Tangencies” ( PFT ).

The general model search can be the first step of a surveyor training. Later we discuss specific ways this particular problem that could simplify the tracking.

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Los 12 principles of animation

twelve

Disney studies laid the foundation of traditional animation, and its subsequent spread to the world of 3D computer animation. During the early years developed a set of rules to keep in mind in any animation for organic effect of the characters, denominating “Los 12 principles of animation”.

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Metric geometry: Circunferencias con condiciones angulares. Problema I

angular problems

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.

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Short animation

videos

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.

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The Stanford 3D Scanning Repository

The development of algorithms for image reconstruction and computer analysis has grown dramatically in recent years, developing a universal science that structures developed procedures. The presentation of these algorithms in scientific conferences allows the exchange of ideas among researchers in the field, I usually use a series of models… (leer más)

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Bet geometric [ School ]

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.

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Classification Representation Systems

The representation of technical objects is performed by one or more images that are determined by projecting the objects on an imaginary plane.

The display system is therefore defined by the position of said plane and the center of projection.

The position of the object relative to the center plane and can vary its representation, determining convergence in the projection, varying mediated, lines which are parallel in space.

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Metric geometry : Investment : Application to the resolution of problems and angular tangents

Application inversion

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.

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Metric geometry : Homotecia

Transformaciones - homotecia

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.

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Metric geometry : Determining radio circumferences known angular conditions

Geometric Places

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.

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