MathDB
A_1P > OP, A_2P > OP, B_1P > OP , B_2P > OP, rectangle

Source: Eotvos 1904 p3

September 6, 2024
geometrygeometric inequalityinequalitiesrectangleLocus

Problem Statement

Let A1A2A_1A_2 and B1B2B_1B_2 be the diagonals of a rectangle, and let OO be its center. Find and construct the set of all points PP that satisfy simultaneously the four inequaliies: A1P>OP,A2P>OP,  B1P>OP,  B2P>OP.A_1P > OP , \\A_2P > OP, \ \ B_1P > OP , \ \ B_2P > OP.
Back to ProblemsView on AoPS