Graphic PIZiadas

Graphic PIZiadas

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Categorías PFT

Metric geometry : Problema fundamental de tangencias : PPr

Problema fundamental de tangencias. Tangent to circle line through two points

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).

Metric geometry : Generalization of the concept of “Power”

generalization power concept

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?

Metric geometry : Radical axis of two circles

The loci used to determine the solution of problems with geometric constraints. Among the conditions used are the angular nature and among them the orthogonality.
Given two circles, simply infinite set of circles that intersect orthogonally are grouped in a set called beam circumferences corradicales; These circles are centered on a line called the radical axis.

Geometric transformations : Correlations Vs homographies

transformations

Geometric transformations can be understood as a set of geometric operations that create a new figure from a previously given, invariants and properties obtained in these. The new figure is called “homologous” or correlative of the original depending on the nature of the transformation of its basic elements.

Metric geometry : Concepto de “Potencia de un punto respecto de una circunferencia”

Potencia de un punto respecto de una circunferencia

El concepto de potencia de un punto respecto de una circunferencia permite relacionar las nociones estudiadas en los teorema de Thales y Pitágoras y es la puerta para el estudio de los problemas de tangencias y transformaciones como la inversión.
We will use the concepts of able to arch over a segment on our shows, what is suggested by his review.
This concept is based on the product of two segment and, as discussed, It allows to determine geometrical places of great importance as for example the radical axis of two circles.

Test geometry and technical drawing

test

One way to measure our level of training in a particular subject is to conduct a self-assessment test.

In the case of the teaching of geometry or technical drawing no generalized models for this task.

This page shows a Java applet that can be used to measure our level of graphic expression in subjects (Drawing) baccalaureate level or first-year engineering schools.

Educate playing with impossible figures

figura_imposible

Impossible figures can be real simple objects that produce optical illusions obtained by proper perspective.

Use from the educational point of view can be justified in requiring a detailed analysis for understanding.

They can also be approached as a challenge for the student who can compete with others in an educational game object identification. Do not forget that play activities encourage interest in the learning process, entertain and arouse curiosity for the study of new cases: Learning enjoying.

Oxygen [ Animation ] [ Education ]

oxygen

An interesting animation work, del Ringling College of Art + Design, which can be seen teaching uses image synthesis for education.
In this case a friendly oxygen atom pair is not easily due to its properties when combined with other elements is encouraged.
A fun way to learn and memorize complex aspects of chemical, developed with great imagination.

Scale of the Universe (interactive)

metro_escala

In NASA pages every day we can find a picture of astronomy, some of great beauty and other, no less gripping, educational character marking.

Last 12 March 2012, published an interactive Flash application that allows you to appreciate the different orders of magnitude of our universe. From the tiniest on a scale in which the atoms are enormous, to the most massive of our universe, where the biggest stars are simple points of light.

Representation systems : Projections [ Descriptive geometry ]

Projections

The so-called representation systems encompasses a set of techniques and projection models for viewing items in a three dimensional space on a two dimensional plane.

Each of the systems provides a number of advantages that make it particularly useful in certain applications. So, systems that are included in the set of perspectives, are especially useful to give a simple three-dimensional view of the object. Cylindrical nature systems facilitate operations orthogonal measure to reduce them to obtain Pythagorean triangles (rectangles), models while central conical or approximate how the human eye works.