compass and straightedge construction of center of given circle
Given a circle in the Euclidean plane, one can construct its center (http://planetmath.org/Center8) using compass and straightedge as follows:
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1.
Draw a chord. Label its endpoints as and .
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2.
Construct the perpendicular bisector of in order to find the two points and where it intersects the circle.
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3.
Construct the perpendicular bisector of to determine the midpoint of . is the center of the circle.
A justification for these constructions is supplied in the entry construct the center of a given circle.
If you are interested in seeing the rules for compass and straightedge constructions, click on the provided.
Title | compass and straightedge construction of center of given circle |
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Canonical name | CompassAndStraightedgeConstructionOfCenterOfGivenCircle |
Date of creation | 2013-03-22 17:13:44 |
Last modified on | 2013-03-22 17:13:44 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 10 |
Author | Wkbj79 (1863) |
Entry type | Algorithm |
Classification | msc 51M15 |
Classification | msc 51-00 |
Related topic | ConstructTheCenterOfAGivenCircle |