Limit with circles...

Hello sir~

There is the circle with center A, radius 1.
There is the circle with center B, radius 2.

Two circles circumscribed to the intersection C.
so, There is the common tangent L of C.

Let P with " P on L and |P - C| = t.(distance) ".

Draw two lines PA, PB.
Q is the intersection point of PA and circle A.
R is the intersection point of PB and circle B.

Find lim{t->0} QR / (t^2). (QR is length)

Answer : 3/4
------------------------------------------------
If you need a picture,
http://board-2.blueweb.co.kr/user/math565/data/math/circle2.jpg

Sorry. I need your advice.



.

Relevant Pages

  • Re: Inscribing hexagon in circle
    ... Set your compass to a convenient radius and draw a circle. ... another intersecting arc. ... intersection with its neighbors using a straight line. ...
    (rec.woodworking)
  • Re: Intersect circle and irregular shape
    ... polygon. ... For example, if I have a circle centered within a triangle, I ... Then sort such intersection points in accordance with the angles ... circular arcs containing such midpoints must also lie within the polygon. ...
    (comp.soft-sys.matlab)
  • Re: Intersect circle and irregular shape
    ... polygon. ... For example, if I have a circle centered within a triangle, I ... Then sort such intersection points in accordance with the angles ... circular arcs containing such midpoints must also lie within the polygon. ...
    (comp.soft-sys.matlab)
  • Re: Oblique torus slice: intersecting circles
    ... let the coordinate system be such that the torus has ... so that the torus may be constructed by taking a circle with center ... The intersection of the torus with a plane at distance z above the XY ...
    (sci.math)
  • Re: All panduks are green
    ... diagram that looked like a circle and for the last one I used a green ... could not find the intersection of the square Venn and the circle ... I could not visualize the intersection being inside the green zone, ... The empty set is like the word "nothing." ...
    (sci.logic)