Nine Point Circle Construction
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First construct a triangle.
Then construct the midpoints of the sides of this triangle.
Now join these points
Now construct the circumcentre of this smaller triangle.
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.
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.
Click here to find more about the Nine Point Circle.
Learn more about Circle here
or about various properties of triangles:
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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