We have solved the fundamental problem we have called for tangents when presented with tangency conditions on a circle or a straight. Conceptually we can assume that both problems are the same, if we consider the straight as a circle of infinite radius. The statement therefore posed circumferences obtaining through two points were tangent to a straight or tangent to a circle.
When defining a beam circumferences as an infinite set simply fulfilling a restriction on the power, sorted the beams depending on the relative position of its elements.
Hyperbolic circumferences beams are among these families circumferences. Of the three existing (Elliptical, parabolic and hyperbolic) are those that offer greater difficulty in its conceptualization to come not defined waypoints. We will see how to determine elements that belong to them as it did in the previous cases.
When defining a beam circumferences as an infinite set simply fulfilling a restriction on the power, sorted the beams depending on the relative position of its elements.
Circumferences elliptical beams are among these families circumferences. We will see how to determine elements that belong.
When defining a beam circumferences as an infinite set simply fulfilling a restriction on the power, sorted the beams depending on the relative position of its elements.
Parabolic circumferences beams are among these families circumferences. We will see how to determine elements that belong.
To study the equation of a circle in the plane. saw a concrete determination is performed by determining three parameters in turn define the coordinates of its center and radius.
We can say therefore that there is a triply-infinite set of circles in the plane, so if we set two restrictions, the parameters, we will be a purely infinite set which we call “beam circumferences”
Any of the problems of tangents that are included under the denomination of “Apollonius problems” can be reduced to one of the studied variants of the most basic of all: the fundamental problem of tangents (PFT).
In all these problems we will consider fundamental objective to reduce the problem to propose to one of these critical cases, by changing the constraints that define other concepts based on the orthogonality.
In this case we will study what we call “Case Apollonius RCC”, namely, For the problem of tangency at which the data are given by condition of tangency to a line (r) and two circles (cc).
The two circumferences radical axis is ellugar locus of points of a plane with equal power on two circles.
Is a straight line having a direction perpendicular to the centerline of the circumferences. To determine this axis is therefore necessary to know a single crossing point.
A curious problem, I usually suggest to my students in class, where we can use geometric knowledge learned by studying the concept of power, is to determine the optimal position of shooting a soccer goal from a given path.
Kerbala Space Program (KSP) is a simulation game that allows us to develop and we administer our own space program.
The game, in full swing, begins to find a large group of followers who, thanks to their ability to adapt, add new objects aerospace environment.
The study of different loci that appear in the most common graphical models to understand and structure the graphic constructs used to solve many classical problems.
Given two fixed points, B y C en la figura, se trata de determinar las posiciones que puede ocupar el punto A para que la diferencia entre los cuadrados de la distancia desde A a dichos puntos sea constante.
By projecting a straight line on a plane orthogonal projection, its projection, generally, is smaller than the original measure.
Given a straight (segment bounded by two points) we want to determine its true magnitude and the angle it makes with the planes of projection.
