Wednesday, June 4, 2008

Nine -point Circle

The nine-point circle, discovered by Feuerbach in about 1820, contains the midpoints of the three sides of the triangle and the feet of the three altitudes. Its center is the midpoint of the segment joining the orthocenter and the circumcenter of the triangle, and consequently lies on the Euler line.




Feuerbach's Theorem, published in 1822, states that the incircle and the nine-point circle are tangent at a point typically called the Feuerbach point. In addition, the nine-point circle is tangent to the three excircles. Explore the construction and the properties of Nine -point circle at


http://jwilson.coe.uga.edu/.../EMT668.Folders.F97/Anderson/geometry/geometry1project/construction/construction.html

3 comments:

Unknown said...

hello ma'm
I AM CHIRAG BAJAJ OF CLASS 10 D OF YOUR SCHOOL. MA'M I WANT TO KNOW IF I CAN MAKE PROJECT PROJECT ON LUCKY NUMBERS FOR MY HOLIDAY HOMEWORK

Anjana Narula said...

yes you can make project on that topic

deepna said...

hello mam i am deepna chopra this year pass out from your school...
mam can you tell me how many pages of 9th class project should be made. and give some hints.
i want to make project on tangrams.
waiting for your reply.
have a nice day ahead