Difference between revisions of "1986 USAMO Problems/Problem 4"
(Created page with "==Problem== Two distinct circles <math>K_1</math> and <math>K_2</math> are drawn in the plane. They intersect at points <math>A</math> and <math>B</math>, where <math>AB</math...") |
m (→See Also) |
||
| (One intermediate revision by the same user not shown) | |||
| Line 9: | Line 9: | ||
==See Also== | ==See Also== | ||
| − | {{USAMO box|year= | + | {{USAMO box|year=1986|num-b=3|num-a=5}} |
{{MAA Notice}} | {{MAA Notice}} | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
| + | [[Category:Geometric Construction Problems]] | ||
Latest revision as of 08:59, 19 July 2016
Problem
Two distinct circles 
and 
are drawn in the plane. They intersect at points 
and 
, where 
is the diameter of . A point 
on and inside is also given.
Using only a "T-square" (i.e. an instrument which can produce a straight line joining two points and the perpendicular to a line through a point on or off the line), find a construction for two points 
and 
on such that 
is perpendicular to and 
is a right angle.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1986 USAMO (Problems • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
