Constructible Operations

 

Given segments of lengths x and y, the following segments can be constructed:  x + y, x – y, x*y, y/x, and Öx or Öy.

 

 

 

Addition:

 

 

Subtraction:

 

 

Multiplication:

 

 

 

Division:

 

Square Root:

 

 

 

 

Click below for GSP sketches that illustrate these constructions:

 

x + y    x – y     x*y       y/x        Öx