Constructing the Square Root of a Positive Integer Geometrically

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This Demonstration finds the square root of a positive integer geometrically. From a point on a vertical line, draw a perpendicular segment of length
and then a circle of radius
centered at the endpoint of this segment. The intersection of the vertical line and the circle is at the distance
from the original point.
Contributed by: Vignon Oussa (December 2012)
(Bridgewater State University)
Open content licensed under CC BY-NC-SA
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"Constructing the Square Root of a Positive Integer Geometrically"
http://demonstrations.wolfram.com/ConstructingTheSquareRootOfAPositiveIntegerGeometrically/
Wolfram Demonstrations Project
Published: December 5 2012