In all three cases we have analyzed the case in which the condition of tangency is a line or circle.
Hyperbolic tangent circles of a straight beam
The solution is to determine a point of equal power, Cr, regarding the condition of tangency and with respect to which the beam belongs solution. If the condition is compared to a straight, searched point is at the intersection of this line with the radical axis.
If the tangency condition is with respect to a circle we also locate the point of equal power with respect to the beam and the circumference, for which we obtain an auxiliary radical axis (e2) between the tangency condition and any circumference of the beam.
The power of this point, Cr, regarding the condition of tangency determine the points of contact between the circumference and the solutions belonging to the beam.
Metric geometry : Investment beam circumferences Transformation through investment in geometric shapes grouped elements can be of interest to use the investment as a tool for analysis in complex problems. In this case study transforming "beams circumferences corradicales" by various […]
Conic as Locus Centers Circumferences Tangents We have seen that the study of conic can be made from different geometric approaches. En particular, to start analyzing conic we have defined as the ellipse locus, we said that:
Ellipse is the locus of points in a plane whose sum […]
Metric geometry : Problema fundamental de tangencias : PPc [II] 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, si consideramos a la recta como una circunferencia de radio […]
Metric geometry : Problem of Apollonius : rcc 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).
En todos estos problemas nos plantearemos como […]