![]() |
||||||||||
![]() |
||||||||||
Nine Point Circle Construction |
||||||||||
home | courses | topics | theorems | starters | worksheets | timeline | KS3 | KS4 | KS5 |
||||||||||
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... |
||||||||
artefacts | numerals | concepts | people | places | pythagoreans | egyptians | babylonians
_____________________________________________________________________________________________________________________ Acknowledgements | Copyright | Contact | Mission Statement | Tell a friend about this site |
||||||||||