Triangle Inscribed in a Circle

Proposition: 1. [i]To draw a circle through any three (noncollinear) points.[/i] or, [i]To draw the circle passing through the three vertices of a given trianle.[/i] (the circle of circumscription) Along the way, proving 2.The perpendicular bisectors of the sides of a triangle meet in a single point and this point is the center of the circumscribing circle. This proof relies upon only the first 15 Elements of Euclid, Book I, which can all be found here: [url]http://www.geogebratube.org/collection/show/id/2554[/url] ___________ Part of a small collection of materials to ground the proofs used in [i]100 Great Problems in Elementary Mathematics.[/i]

 

Ryan Hirst

 
Resource Type
Activity
Tags
circle  circumcenter  circumscribe  triangle 
Target Group (Age)
19+
Language
English (United States)
 
 
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4.2
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