Nine Point Circle Construction

 

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First construct a triangle.

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Then construct the midpoints of the sides of this triangle.

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Now join these points

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Now construct the circumcentre of this smaller triangle.

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This is the nine-point circle of the triangle ABC. To construct the other 6 points, you need to find the altitudes of ABC. The feet of these altitudes gives you the first 3 points.

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The altitudes intersect in the orthocentre of ABC. Midpoints of the lines which connect orthocentre with the vertices A, B, and C, will give you further 3 points.  

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Click here to find more about the Nine Point Circle.

 

   

Learn more about Circle here

or about various properties of triangles:

Euler Line

Circumcentre

Centroid

Orthocentre

Learn more about Euler or some other famous mathematicians.

Some interesting mathematical artefacts can be found here! Mathematicians' delights and possessions...

 

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