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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.

Metric geometry : Determination of lines with angular conditions

angle between line and circle conditions

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.

Metric geometry : Problema fundamental de tangencias : PPc [II]

problema fundamental de tangencias PPc

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.

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 : Theorems height and leg

Theorems cathetus Height 150

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.

Alexander Tsiaras: from conception to birth… all to see [ TED ]

life

On the day of the mother can not miss a video of the creation of life. Led by Alexander Tsiaras, participate in the development of MRI technique, We can see a digital image processing of great beauty and educational value that shows the process of creating a living.
A wonderful video taken from the always interesting TED talks

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?

Visualization of proteins with Blender [ Wallpaper hemoglobin ]

hemoglobin

La última compilación del software de modelado y animación Blender incorpora entre sus mejoras un lector (parser) files in PDB format.

This format is used to exchange data scientist atomic structures, in particular to the description of proteins.

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.

Locus of the Sum / Difference of squares of distances from two fixed points

pi

Los lugares geométricos permiten determinar puntos que satisfacen una determinada condición geométrica. Of interest in the resolution of problems in which metric or geometric restrictions.
Algunos lugares geométricos son elementales y sirven para definir figuras