Difference between revisions of "User:Asf"

Latest revision as of 22:00, 9 July 2012

asf

@@ Line 1: / Line 1: @@
-This page is going to be a collection of problems (without solutions from me yet) from a math circle that I go to because I don't know where else to put them.
+[[Image:Asf.png||center|50px|]]
+<div style="font-weight: bold; background-color: #B22222; border: 1px solid black; height: 16px; border-radius: 9px; width: 42px; padding-left: 8px; color: white; margin-left: auto; margin-right: auto;">asf</div>
-== January 27, 2011 ==
-. Place 4 points on the plane in such a way that every triangle with vertices at these 4 points is isosceles. Could you do the same with 5 points? More than 5 points?
-. Plot 2 points A and B a distance 2 units apart (choose your own unit length).
-(a) Place 6 points in such a way that for every point <math>P</math> of these 6 points, <cmath>AP-BP=0,</cmath>
-i.e. the difference between the distances from P to the two points B is exactly 0.
-(b) Place 6 points in such a way that for every point <math>P</math> of these 6 points either <cmath>AP-BP=1\text{ or }BP-AP=1,</cmath>
-i.e. the positive difference between the distances from P to the two points A and B is exactly 1.